diff --git a/.gitattributes b/.gitattributes deleted file mode 100644 index 5b68b4e..0000000 --- a/.gitattributes +++ /dev/null @@ -1,28 +0,0 @@ -*.fig binary -*.mat binary -*.mdl binary diff merge=mlAutoMerge -*.mdlp binary -*.mexa64 binary -*.mexw64 binary -*.mexmaci64 binary -*.mlapp binary -*.mldatx binary -*.mlproj binary -*.mlx binary -*.p binary -*.sfx binary -*.sldd binary -*.slreqx binary merge=mlAutoMerge -*.slmx binary merge=mlAutoMerge -*.sltx binary -*.slxc binary -*.slx binary merge=mlAutoMerge -*.slxp binary - -## Other common binary file types -*.docx binary -*.exe binary -*.jpg binary -*.pdf binary -*.png binary -*.xlsx binary \ No newline at end of file diff --git a/.gitignore b/.gitignore index 6ffe3bb..b27c6d9 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1,4 @@ **/*.slxc **/.DS_Store +**/.slprj +slprj diff --git a/Actuators/ActuatorDynamics.m b/Actuators/ActuatorDynamics.m new file mode 100644 index 0000000..9e24977 --- /dev/null +++ b/Actuators/ActuatorDynamics.m @@ -0,0 +1,37 @@ +function xdot = ActuatorDynamics(x, u) + xdot = zeros(6, 1); + % Simple actuator model + % x(1) Theta + % x(2) Rate 1 + % x(3) Phi 2 + % x(4) Rate 2 + % x(5) Thrust + % x(6) Roll + + % Assume identical servos for gimbal + a = 700; + b = 40; + + k1 = 0.5; + k2 = 0.5; + + theta_error = k1 * (1 - cos(x(1))); + phi_error = k2 * (1 - cos(x(3))); + + x(3) = x(3) - theta_error; + x(1) = x(1) - phi_error; + + xdot(1:4) = [x(2); + a*(u(1) - x(1)) - b*x(2); + x(4); + a*(u(2) - x(3)) - b*x(4)]; + + % Assume first order response for thrust + tau = 0.15; + xdot(5) = (1/tau) * (u(3) - x(5)); + + % Since torque depends on thrust changes on two fans, response time is + % half that of thrust + xdot(6) = (1/(tau/2)) * (u(4) - x(6)); + +end \ No newline at end of file diff --git a/Actuators/ActuatorTest.m b/Actuators/ActuatorTest.m new file mode 100644 index 0000000..21fd7e4 --- /dev/null +++ b/Actuators/ActuatorTest.m @@ -0,0 +1,55 @@ +% Test code for actuator modeling responses +clear; +close all; + +% Initialize time for simulation +res = 5000; +tmax = 10; +dt = tmax / res; +tsim = linspace(0,tmax,res); +norm = [pi/24; pi/24; 14; 15]; + +% Target step response to max values +start = 100; +utrg = [zeros(4, start), norm .* ones(4, res - start)]; +usim = zeros(4,res); +xsim = zeros(6,res); + +% Initialize data tables +theta_target = zeros(1, res); +phi_target = zeros(1, res); +theta_actual = zeros(1, res); +phi_actual = zeros(1, res); + +% Simulation loop +for i = 2:1:res + theta_target(i) = norm(1); %* cos(tsim(i) * 1); + phi_target(i) = norm(2) * sin(tsim(i) * 1) * 0; + utrg(1:2, i) = [theta_target(i); phi_target(i)]; + + xsim(:,i) = xsim(:,i-1) + ActuatorDynamics(xsim(:,i-1), utrg(:, i)) * dt; + usim(:,i) = [xsim(1,i); xsim(3,i); xsim(5:6,i)]; + + theta_actual(:, i) = xsim(1, i); + phi_actual(:, i) = xsim(3, i); +end + +% Plot results +figure; +plot(tsim, usim .* [180/pi; 180/pi; 1; 1]); hold on; grid on; +plot(tsim, utrg .* [180/pi; 180/pi; 1; 1], 'r--'); +% plot(tsim, (utrg - usim) .* [180/pi; 180/pi; 1; 1]); +legend('Angle 1', 'Angle 2', 'Thrust', 'Torque'); + +figure; +subplot(2, 1, 1) +plot(theta_target, theta_actual); grid on; +title("Theta Target vs Actual") + +subplot(2, 1, 2) +plot(phi_target, phi_actual); grid on; +title("Phi Target vs Actual") + +figure; +plot(xsim(1,:), xsim(3,:), "b*"); +axis equal \ No newline at end of file diff --git a/Controls/JacobianU.m b/Controls/JacobianU.m new file mode 100644 index 0000000..bc71d09 --- /dev/null +++ b/Controls/JacobianU.m @@ -0,0 +1,45 @@ +function out1 = JacobianU(in1,in2) +%JacobianU +% OUT1 = JacobianU(IN1,IN2) + +% This function was generated by the Symbolic Math Toolbox version 25.2. +% 05-Nov-2025 19:06:56 + +phi = in2(2,:); +q1 = in1(1,:); +q2 = in1(2,:); +q3 = in1(3,:); +tau = in2(4,:); +theta = in2(1,:); +thrust = in2(3,:); +t2 = cos(phi); +t3 = cos(theta); +t4 = sin(phi); +t5 = sin(theta); +t6 = q1.^2; +t7 = q2.^2; +t8 = q3.^2; +t9 = q1.*q2.*2.0; +t10 = q1.*q3.*2.0; +t11 = q2.*q3.*2.0; +t12 = t6.*2.0; +t13 = t7.*2.0; +t14 = t8.*2.0; +t18 = -t6; +t19 = -t7; +t20 = -t8; +t21 = t12+t13-1.0; +t22 = t12+t14-1.0; +t23 = t13+t14-1.0; +t24 = t18+t19+t20+1.0; +t25 = sqrt(t24); +t26 = q1.*t25.*2.0; +t27 = q2.*t25.*2.0; +t28 = q3.*t25.*2.0; +t29 = t11+t26; +t30 = t10+t27; +t31 = t9+t28; +mt1 = [0.0,0.0,0.0,0.0,0.0,0.0,-t3.*thrust.*(t9-t28)+t4.*t5.*t23.*thrust-t2.*t5.*t30.*thrust,t3.*t22.*thrust-t4.*t5.*t31.*thrust-t2.*t5.*thrust.*(t11-t26),-t3.*t29.*thrust+t2.*t5.*t21.*thrust-t4.*t5.*thrust.*(t10-t27),t3.*thrust.*(1.2e+1./5.0)-t4.*t5.*tau.*2.0e+1,t3.*tau.*(-1.0e+3./5.3e+1)-t4.*t5.*thrust.*(1.2e+2./5.3e+1),t2.*t5.*tau.*(-1.0e+3./5.3e+1),0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-t2.*t3.*t23.*thrust-t3.*t4.*t30.*thrust,t2.*t3.*t31.*thrust-t3.*t4.*thrust.*(t11-t26),t3.*t4.*t21.*thrust+t2.*t3.*thrust.*(t10-t27),t2.*t3.*tau.*2.0e+1]; +mt2 = [t2.*t3.*thrust.*(1.2e+2./5.3e+1),t3.*t4.*tau.*(-1.0e+3./5.3e+1),0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-t5.*(t9-t28)-t3.*t4.*t23+t2.*t3.*t30,t5.*t22+t3.*t4.*t31+t2.*t3.*(t11-t26),-t5.*t29-t2.*t3.*t21+t3.*t4.*(t10-t27),t5.*(1.2e+1./5.0),t3.*t4.*(1.2e+2./5.3e+1),0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,t3.*t4.*2.0e+1,t5.*(-1.0e+3./5.3e+1),t2.*t3.*(1.0e+3./5.3e+1),0.0,0.0,0.0]; +out1 = reshape([mt1,mt2],15,4); +end diff --git a/Controls/JacobianX.m b/Controls/JacobianX.m new file mode 100644 index 0000000..3ace4ec --- /dev/null +++ b/Controls/JacobianX.m @@ -0,0 +1,89 @@ +function out1 = JacobianX(in1,in2) +%JacobianX +% OUT1 = JacobianX(IN1,IN2) + +% This function was generated by the Symbolic Math Toolbox version 25.2. +% 05-Nov-2025 19:06:55 + +b4 = in1(13,:); +b5 = in1(14,:); +b6 = in1(15,:); +omega1 = in1(10,:); +omega2 = in1(11,:); +omega3 = in1(12,:); +phi = in2(2,:); +q1 = in1(1,:); +q2 = in1(2,:); +q3 = in1(3,:); +theta = in2(1,:); +thrust = in2(3,:); +t2 = cos(phi); +t3 = cos(theta); +t4 = sin(phi); +t5 = sin(theta); +t6 = q1.*2.0; +t7 = q2.*2.0; +t8 = q3.*2.0; +t9 = q1.^2; +t10 = q2.^2; +t11 = q3.^2; +t12 = -omega1; +t13 = -omega2; +t14 = -omega3; +t15 = b4./2.0; +t16 = b5./2.0; +t17 = b6./2.0; +t18 = omega1./2.0; +t19 = omega2./2.0; +t20 = omega3./2.0; +t21 = q1./2.0; +t22 = q2./2.0; +t23 = q3./2.0; +t30 = b4.*(3.0./5.3e+1); +t31 = b5.*(3.0./5.3e+1); +t32 = b6.*(3.0./5.3e+1); +t33 = omega1.*(3.0./5.3e+1); +t34 = omega2.*(3.0./5.3e+1); +t35 = omega3.*(3.0./5.3e+1); +t24 = -t9; +t25 = -t10; +t26 = -t11; +t27 = b4+t12; +t28 = b5+t13; +t29 = b6+t14; +t36 = -t21; +t37 = -t22; +t38 = -t23; +t39 = -t30; +t40 = -t33; +t41 = t33+t39; +t42 = t30+t40; +t43 = t24+t25+t26+1.0; +t44 = sqrt(t43); +t45 = 1.0./t44; +t46 = t44.*2.0; +t47 = t44./2.0; +t48 = q2.*t6.*t45; +t49 = q3.*t6.*t45; +t50 = q3.*t7.*t45; +t51 = -t47; +t55 = q1.*q2.*t45.*-2.0; +t56 = q1.*q3.*t45.*-2.0; +t57 = q2.*q3.*t45.*-2.0; +t58 = t9.*t45.*-2.0; +t59 = t10.*t45.*-2.0; +t60 = t11.*t45.*-2.0; +t61 = t6+t50; +t62 = t7+t49; +t63 = t8+t48; +t64 = t6+t57; +t65 = t7+t56; +t66 = t8+t55; +t67 = t46+t58; +t68 = t46+t59; +t69 = t46+t60; +mt1 = [t21.*t27.*t45,t17-t20+t21.*t28.*t45,-t16+t19+t21.*t29.*t45,0.0,0.0,0.0,-t5.*t62.*thrust+t2.*t3.*t66.*thrust,q1.*t5.*thrust.*4.0-t2.*t3.*t67.*thrust+t3.*t4.*t65.*thrust,-t5.*t67.*thrust-q1.*t2.*t3.*thrust.*4.0+t3.*t4.*t63.*thrust,0.0,0.0,0.0,0.0,0.0,0.0,-t17+t20+t22.*t27.*t45,t22.*t28.*t45,t15-t18+t22.*t29.*t45,0.0,0.0,0.0,-t5.*t61.*thrust-q2.*t3.*t4.*thrust.*4.0+t2.*t3.*t68.*thrust,t2.*t3.*t63.*thrust+t3.*t4.*t64.*thrust,-t5.*t66.*thrust-q2.*t2.*t3.*thrust.*4.0-t3.*t4.*t68.*thrust,0.0,0.0,0.0,0.0,0.0,0.0,t16-t19+t23.*t27.*t45,-t15+t18+t23.*t28.*t45,t23.*t29.*t45,0.0,0.0,0.0]; +mt2 = [t5.*t69.*thrust-q3.*t3.*t4.*thrust.*4.0+t2.*t3.*t64.*thrust,q3.*t5.*thrust.*4.0+t2.*t3.*t62.*thrust+t3.*t4.*t69.*thrust,-t5.*t65.*thrust+t3.*t4.*t61.*thrust,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,t47,t23,t37,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-t32+t35,t31-t34,0.0,0.0,0.0,t38,t47,t21,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,t42,0.0,0.0,0.0,t22,t36,t47,0.0,0.0,0.0,0.0,0.0,0.0,0.0,t41,0.0,0.0,0.0,0.0,t51,t38,t22,0.0]; +mt3 = [0.0,0.0,0.0,0.0,0.0,0.0,t32-t35,-t31+t34,0.0,0.0,0.0,t23,t51,t36,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,t41,0.0,0.0,0.0,t37,t21,t51,0.0,0.0,0.0,0.0,0.0,0.0,0.0,t42,0.0,0.0,0.0,0.0]; +out1 = reshape([mt1,mt2,mt3],15,15); +end diff --git a/Controls/SolveInput.m b/Controls/SolveInput.m new file mode 100644 index 0000000..9fb72fd --- /dev/null +++ b/Controls/SolveInput.m @@ -0,0 +1,50 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Function computes the optimal input at the current timestep by +% re-linearizing LQR at the current estimated state x0. We then find an input +% u0 such that Ax0 + Bu0 = 0 and solve for our optimal Gain Matrix K. We +% then add this u0 input as a feedforward signal. +% +% By: Pablo Plata - 10/22/25 +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [K, u] = SolveInput(x0, x_ref, u0) + +% Calculate the J_u Jacobian [B matrices] at thrust up +B = JacobianU([x0; zeros(3,1)], u0); +B = B(1:12,:); + +% Solve for u0 such that Ax0 + Bu0 = 0 +% invp(B) is the Moore-Penrose pseudoinverse of B +% check Eigen availability of this function, prob avaiable under SVD. +xdot = nominalDynamics([x0; zeros(3,1)], zeros(4,1)); +u0 = -pinv(B) * xdot(1:12); + +% Calculate the J_x Jacobian [A matrices] at current state +A = JacobianX([x0; zeros(3,1)], u0); +A = A(1:12,1:12); + +% Define Q and R matrices for LQR using Bryson's Rule +a_weights = ones(12,1); +b_weights = ones(4,1); +a_weights = a_weights / norm(a_weights); +b_weights = b_weights / norm(b_weights); + +max_x = [2, 2, 0.08, 1000, 1000, 1000, 0.8, 0.8, 2, 2, 2, 10]; +max_u = [pi/30, pi/30, 6, 0.5]; + +Q = eye(size(A,1)) .* a_weights ./ max_x.^2; +R = eye(size(B,2)) .* b_weights ./ max_u.^2; + +% Solve the LQR problem and compute gain matrix. +K = SolveLQR(A, B, Q, R); + +% Compute optimal input +u = -K * (x0 - x_ref) + u0; + +% Input saturation +thrust_max = 1.5 * 9.8; +maxU = [pi/24; pi/24; thrust_max; thrust_max * 10]; +minU = [-pi/24; -pi/24; thrust_max * 0.4; -thrust_max * 10]; +u = max(minU, u); +u = min(maxU, u); diff --git a/Controls/SolveLQR.m b/Controls/SolveLQR.m new file mode 100644 index 0000000..e4b77bd --- /dev/null +++ b/Controls/SolveLQR.m @@ -0,0 +1,42 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% The following function solves an infinite time horizon LQR problem by +% computing the unique solution P to the Continious-Time Algebraic Ricatti +% Equation (CARE) using the Hamiltonian matrix. This solution is then used +% to compute the optimal gain matrix for controls. +% +% By: Pablo Plata - 10/22/25 +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function K = SolveLQR(A, B, Q, R) + +% Define the Hamiltonian matrix H (size 2n x 2n) +R_inv = inv(R); +H = [A -B * R_inv * B'; + -Q -A']; + +% Find eigenvalues of the Hamiltonian +% (eig(H) function returns a matrix of +% eigenvectors of H and a diagonal matrix of eigenvalues of H.) +[EVec_H, EVal_H] = eig(H); +EVal_H = diag(EVal_H); +NegEigen = real(EVal_H) < 0; + +% Denote the V matrix, containing the eigenvectors corresponding to stable +% eigenvalues. Then decompose into V1 (first n rows) and V2 (last n rows) +V = EVec_H(:, NegEigen); +V1 = V(1:size(A,1), :); +V2 = V(size(A,1)+1:end,:); + +% Compute the solution P to the Algebraic Riccati Equation, and ensure real +% coefficients and symmetry +P = V2 / V1; +P = real(P); +P = (P + P') / 2; + +% Compute the gain matrix for the stabilizing solution +K = R_inv * B' * P; + + + diff --git a/Filtering/ANF/ANF_FIlterTest.m b/Filtering/ANF/ANF_FIlterTest.m new file mode 100644 index 0000000..5614c66 --- /dev/null +++ b/Filtering/ANF/ANF_FIlterTest.m @@ -0,0 +1,100 @@ +function TF = Notch_TFC(f0, width) + % Define center frequency and Q + w0 = 2 * pi * f0; + Q = f0 / width; + + % Define Laplace variable and transfer function. + s = tf('s'); + TF = (s^2 + w0^2) / (s^2 + (w0 / Q) * s + w0^2); +end +function TF = Notch_TFD(f0, width, fs) + % Sampling time + Ts = 1 / fs; + + % Define center frequency and r + w0 = 2 * pi * f0 / fs; + r = exp(-pi * width / fs); + + % Define z-domain variable and discrete TF + z = tf('z', Ts); + TF = (1 - 2 * cos(w0) * z^-1 + z^-2) / (1 - 2 * r *cos(w0) * z^-1 + r^2 * z^-2); +end +function TF = convTF(TF_Array) + n = size(TF_Array, 1); + TF = 1; + for i = 1:1:n + TF = TF_Array(i) * TF; + end +end + +% Clear workspace +clear; + +% Create Notch Filters +f0 = 130; +width = 6; +fs = 1000; +n = 3; +NotchC_Array = zeros(n,1) * tf('s'); +NotchD_Array = NotchC_Array; +for i = 1:1:n + NotchC_Array(i,1) = Notch_TFC(i * f0, width); + NotchD_Array(i,1) = Notch_TFD(i * f0, width, fs); +end + +NotchC = convTF(NotchC_Array); +NotchD = convTF(NotchD_Array); + +% Create a 2nd order LPF for comparaison +s = tf('s'); +wc = 0.8 * f0 * 2 * pi; +phi = (1 + sqrt(5))/ 2; +LPF = wc^2 / (s^2 + sqrt(2) * wc * s + wc^2); +% LPF = wc^2 / ((s + 1)*(s^2 + phi^-1 * s + 1)*(s^2 + phi*s + 1)); + +% Frequency range in Hz +f = linspace(0, 500, 2000); % Linear spacing 0–500 Hz +w = 2 * pi * f; % Convert to rad/s for 'bode' or 'freqresp' + +% Get frequency response +[magC, phaseC] = bode(NotchC, w); +[magD, phaseD] = bode(NotchD, w); +[magLPF, phaseLPF] = bode(LPF, w); +magC = squeeze(magC); +phaseC = squeeze(phaseC); +magLPF = squeeze(magLPF); +phaseLPF = squeeze(phaseLPF); +magD = squeeze(magD); +phaseD = squeeze(phaseD); + +% Wrap the unwrapped phase from bode() to the [-180, 180] range +phaseC = wrapTo180(phaseC); +phaseD = wrapTo180(phaseD); +phaseLPF = wrapTo180(phaseLPF); + +% Plots +figure; +Color = colororder("glow"); + +subplot(2,1,1) +plot(f, 20*log10(magC), 'LineWidth', 1.5, 'Color', Color(2,:)); hold on; +% plot(f, 20*log10(magD), 'LineWidth', 1.5, 'Color', Color(1,:)); +plot(f, 20*log10(magLPF), 'LineWidth', 1.5, 'Color', Color(4,:)); +xlabel('Frequency (Hz)'); +ylabel('Magnitude (dB)'); +legend('Continious ANF', 'LPF'); +title('Linear-Frequency Bode Magnitude'); +grid on; +xlim([0 500]); +ylim([min(20*log10(magC)) * 1.1, 2]) + +subplot(2,1,2) +plot(f, phaseC, 'LineWidth', 1.5, 'Color', Color(2,:)); hold on; +% plot(f, phaseD, 'LineWidth', 1.5, 'Color', Color(1,:)); +plot(f, phaseLPF, 'LineWidth', 1.5, 'Color', Color(4,:)); +xlabel('Frequency (Hz)'); +ylabel('Phase (deg)'); +legend('Continious ANF', 'LPF'); +title('Linear-Frequency Bode Phase (Wrapped)'); +grid on; +xlim([0 500]); \ No newline at end of file diff --git a/Filtering/ANF/Roll Data/10.0_10.0.csv b/Filtering/ANF/Roll Data/10.0_10.0.csv new file mode 100644 index 0000000..fa6e9b5 --- /dev/null +++ b/Filtering/ANF/Roll Data/10.0_10.0.csv @@ -0,0 +1,6272 @@ +Time (s), Acceleration X (m/s^2), Acceleration Y (m/s^2), Acceleration Z (m/s^2), Gyro X (rad/s), Gyro Y (rad/s), Gyro Z (rad/s) +0.000162,-0.221603,-9.794812,0.229378,0.0035310991,0.0101578162,0.0002745701 +0.000818,-0.221603,-9.794812,0.226976,0.0045953242,0.0090935911,0.0013387952 +0.001711,-0.211995,-9.790023,0.229378,0.0024668739,0.0069651408,0.0024030204 +0.002758,-0.211995,-9.785234,0.229378,0.0014026488,0.0069651408,0.0013387952 +0.003808,-0.211995,-9.785234,0.229378,0.0024668739,0.0069651408,0.0002745701 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= readmatrix('8.70_11.20.csv'); +allData(2).thrust = 9.95; +for k = 3:1:numFiles + + % Get the filename from the list + filename = list(k).name; + + % Extract thrust data + nameValues = sscanf(filename, '%f_%f.csv'); + + % Check if sscanf successfully found two numbers + if length(nameValues) == 2 + % Calculate the average and store it + allData(k).thrust = mean(nameValues); + else + % If the name doesn't match, store NaN as a placeholder + warning('Could not parse thrust value from: %s', filename); + allData(k).thrust = NaN; + end + + % Store the filename in our struct + allData(k).filename = filename; + + % Read the data using readmatrix and store it in the struct + allData(k).data = readmatrix(filename); +end + +%% Fourier Analysis +fourier = struct('filename', {}, 'data', {}, 'freq', {}); +for k = 1:numFiles + % Timestep + dt = mean(diff(allData(k).data(:,1)), 'omitnan'); + fs = 1 / dt; + + % Perform Fourier Transform on the data + %PSD Plots + % fourier(k).filename = allData(k).filename; + % fourier_k = pwelch(allData(k).data(:,2:end)); + % fourier(k).data = abs(fourier_k); + % fourier(k).freq = 1:1:size(fourier_k,1); + + %FFT Plots + fourier_k = fft(allData(k).data(:,2:end)); + L = size(allData(k).data, 1); + + % Post-processing + fourier_k = abs(fourier_k / L); + fourier(k).data = fourier_k(1:floor(L/2) + 1,:); + fourier(k).data(2:end-1,:) = 2 * fourier(k).data(2:end-1,:); + fourier(k).freq = fs * (0:floor(L/2)) / L; +end + +%% 3D Surface Plot (Binned by Integer Thrust, Gaps as Zeros) + +% --- Configuration --- +plotChannel = 2; +numInterpPoints = 1000; % Resolution for the Y-axis (frequency) +% --------------------- + +fprintf('Generating binned 3D surface plot for signal %d...\n', plotChannel); + +% 1. Create the common frequency axis (Y-axis) +maxFreq = 0; +for k = 1:numFiles + maxFreq = max(maxFreq, max(fourier(k).freq)); +end +freq_interp = linspace(0, maxFreq, numInterpPoints)'; + +% 2. Create the new integer-based thrust axis (X-axis) +roundedThrusts = round([allData.thrust]); +minThrust = min(roundedThrusts); +maxThrust = max(roundedThrusts); + +% This is our new, clean X-axis: [10, 11, 12, 13, ...] +integerThrustAxis = minThrust:maxThrust; +numThrustPoints = length(integerThrustAxis); + +% 3. Create the new Amplitude Grid (Z-axis) +% Gaps will remain as zeros by default +binnedAmplitudeMatrix = zeros(numInterpPoints, numThrustPoints); +binCount = zeros(1, numThrustPoints); + +% 4. Loop through all files and place them into the correct bin +for k = 1:numFiles + % Get this file's data + original_freq = fourier(k).freq; + if size(fourier(k).data, 2) >= plotChannel + original_amp = fourier(k).data(:, plotChannel); + else + original_amp = zeros(size(original_freq)); % No data + end + + % Interpolate this file's FFT onto the common frequency axis + interpolated_amp = interp1(original_freq, original_amp, freq_interp, 'linear', 0); + + % Find which integer bin this file belongs to + currentRoundedThrust = roundedThrusts(k); + + % Map the thrust value to a column index + idx = currentRoundedThrust - minThrust + 1; + + % Add this file's data to the sum for that bin + binnedAmplitudeMatrix(:, idx) = binnedAmplitudeMatrix(:, idx) + interpolated_amp; + + % Increment the counter for that bin + binCount(idx) = binCount(idx) + 1; +end + +% 5. Average the bins that have multiple files +for j = 1:numThrustPoints + if binCount(j) > 1 + % If we added 2+ files to this bin, divide by the count + binnedAmplitudeMatrix(:, j) = binnedAmplitudeMatrix(:, j) / binCount(j); + end + % If binCount(j) == 0, the column remains zeros, creating the gap. +end + +% 6. Create the 3D SURFACE plot +figure; +% Use surf() for a surface +colormap(turbo); +surf(integerThrustAxis, freq_interp, binnedAmplitudeMatrix, 'EdgeColor', 'none'); +idx_10Hz = find(freq_interp > 10,1); +max_ampl = max(max(binnedAmplitudeMatrix(idx_10Hz:end, :))); +clim([0, 0.4 * max_ampl]); + +% Use shading interp for smooth coloring +shading interp; + +title(sprintf('Binned Surface vs. Frequency and Thrust (Gaps as Zeros, Signal %d)', plotChannel)); +xlabel('Thrust (Rounded)'); +ylabel('Frequency (Hz)'); +zlabel('Amplitude'); + +colorbar; +view(3); +grid on; + +% Optional: Limit the Y-axis (frequency) to zoom in +% ylim([0, 50]); +ylim([10 max(freq_interp)]); +zlim([0 1.2 * max_ampl]) + +disp('Binned 3D surface plot with gaps generated.'); + +%% 3D Waterfall Plot (Line Traces) +fprintf('Generating 3D waterfall plot for signal %d...\n', plotChannel); + +figure; % Create a new figure window +hold on; % Hold the plot open so we can add all lines + +% 1. Get thrust values and sort them +% (Sorting makes the plot much cleaner to look at) +thrustValues = [allData.thrust]; +[sortedThrust, sortIdx] = sort(thrustValues); + +% 2. Loop through the *sorted* indices +for k_idx = 1:numFiles + + % Get the original, unsorted index 'k' + k = sortIdx(k_idx); + + % --- Create the X, Y, and Z vectors for this single line --- + + % X-Axis: A constant thrust value + % We need a vector of this value, one point for each frequency + currentThrust = sortedThrust(k_idx); + x_line = repmat(currentThrust, length(fourier(k).freq), 1); + + % Y-Axis: The frequency vector for this specific test + y_line = fourier(k).freq; + + % Z-Axis: The amplitude vector for this specific test + if size(fourier(k).data, 2) >= plotChannel + z_line = fourier(k).data(:, plotChannel); + else + % File didn't have this signal, plot a flat line at zero + z_line = zeros(size(y_line)); + warning('File %s did not have signal column %d', allData(k).filename, plotChannel); + end + + % --- Plot the single 3D line --- + plot3(x_line, y_line, z_line); + +end + +% 3. Add labels and formatting +hold off; % Release the plot +title(sprintf('Waterfall FFT vs. Frequency and Thrust (Signal %d)', plotChannel)); +xlabel('Thrust'); +ylabel('Frequency (Hz)'); +zlabel('Amplitude'); +ylim([10 max(freq_interp)]); + +grid on; +view(3); % Set the default 3D viewing angle +% view(70, 45); % This is often a good angle for waterfall plots + +% Optional: Limit the Y-axis (frequency) to zoom in +% ylim([0, 50]); + +disp('Waterfall plot generated.'); \ No newline at end of file diff --git a/Filtering/EMA Filter/ExpMovingAvg.m b/Filtering/EMA Filter/ExpMovingAvg.m new file mode 100644 index 0000000..ee8e466 --- /dev/null +++ b/Filtering/EMA Filter/ExpMovingAvg.m @@ -0,0 +1,7 @@ +function Output = ExpMovingAvg(Input, Last, Alpha) + % Basic Exponential Moving Average Implementation to pre-process + % measurements. + + % Filter difference equation + Output = Alpha * Input + (1 - Alpha) * Last; +end diff --git a/Filtering/Kalman FIlter/EstimateStateFCN.m b/Filtering/Kalman FIlter/EstimateStateFCN.m new file mode 100644 index 0000000..32522db --- /dev/null +++ b/Filtering/Kalman FIlter/EstimateStateFCN.m @@ -0,0 +1,110 @@ +function [x_est, dx] = EstimateStateFCN(x_est,constantsASTRA,z,dT,GND) + +%% M-EKF Implementation +% Filter mode (1 for full INS when GPS signals available, 0 for pure +% integration after launch when no GPS available | limit flight time) +FILTER_MODE = 1; + +% Remove bias from gyro +z(4:6) = z(4:6) - x_est(11:13) * (FILTER_MODE == 1 || GND == 1); + +% Extract quaternion +dx = zeros(12,1); +q = x_est(1:4); +qdot = 0.5 * HamiltonianProd(q) * [0; z(4:6)]; +x_est(1:4) = q + qdot * dT; +q = x_est(1:4); + +% A-priori quaternion estimate and rotation matrix +q = q / norm(q); +R_b2i = quatRot(q)'; + +% Process Covariance Matrix +persistent P lastZ +if isempty(P) + P = 1 * eye(12); + lastZ = zeros(15,1); +end + +% State Transition Matrix +F = StateTransitionMat(z(1:3), z(4:6), R_b2i); + +% Propagate rest of state using IMU +x_est(8:10) = x_est(8:10) + (R_b2i * z(1:3) - [0; 0; constantsASTRA.g]) * dT; +x_est(5:7) = x_est(5:7) + x_est(8:10) * dT; + +% Discrete STM +Phi = expm(F * dT); + +% Extract Matrices +Q = constantsASTRA.Q; +R = constantsASTRA.R; + +% Process Noise Covariance and a-priori propagation step +Q = 0.4 * Q; +P = Phi * P * Phi' + Q; +RTK = 1; + +if sum(lastZ(1:9) - z(1:9)) ~=0 && (FILTER_MODE == 1 || GND == 1) + + % Measurement matrix + H = zeros(6,12); + H(1:3, 1:3) = zetaCross(R_b2i' * [0; 0; constantsASTRA.g]); + H(4:6, 1:3) = zetaCross(R_b2i' * constantsASTRA.mag); + + % Measurement Noise Covariance + w = 1 + 1e5 * (1 - GND); + R(1:3,1:3) = R(1:3,1:3) * w; + + % A priori covariance and Kalman gain + L = P * H' / (H * P * H' + R); + + % Predicted measurements + z_hat = [R_b2i' * [0; 0; constantsASTRA.g]; + R_b2i' * constantsASTRA.mag]; + + % Kalman Gain Weighting based on predicted acceleration + ILH = (eye(12) - L * H); + P = ILH * P * ILH' + L * R * L'; + residual = (z([1:3 7:9]) - z_hat); + dx = dx + L * residual; +end +if sum(lastZ(10:15) - z(10:15)) ~=0 && (FILTER_MODE == 1 || GND == 1) + + % Measurement matrix + H = zeros(6,12); + H(1:3, 4:6) = eye(3); + H(4:6, 7:9) = eye(3); + + % Measurement Covariance Matrix + gps_pos_covar = 1 * RTK + 5 * (1 - RTK); + gps_vel_covar = gps_pos_covar; + R = diag([gps_pos_covar^2 * ones(3,1); gps_vel_covar^2 * ones(3,1)]); + + % A priori covariance and Kalman gain + L = P * H' / (H * P * H' + R); + + % Predicted measurements + z_hat = [x_est(5:7); + x_est(8:10)]; + + % Kalman Gain Weighting based on predicted acceleration + ILH = (eye(12) - L * H); + P = ILH * P * ILH' + L * R * L'; + residual = (z(10:15) - z_hat); + inn = L * residual; + dx = dx + inn; +end +if FILTER_MODE == 1 || GND == 1 + % Update full-state estimates + dq = [1; dx(1:3) / 2]; + dq = dq / norm(dq); + + q_nom = quatmultiply(q', dq'); + q_nom = q_nom / norm(q_nom); + x_est(1:4) = q_nom'; + x_est(5:13) = x_est(5:13) + dx(4:12); +end +x_est(5:10) = x_est(5:10) * (1 - GND); +lastZ = z; +end \ No newline at end of file diff --git a/Filtering/Kalman FIlter/StateTransitionMat.m b/Filtering/Kalman FIlter/StateTransitionMat.m new file mode 100644 index 0000000..2eb88d6 --- /dev/null +++ b/Filtering/Kalman FIlter/StateTransitionMat.m @@ -0,0 +1,9 @@ +function F = StateTransitionMat(accel, gyro, R_b2i) + +% Remove angular rates from error-state. Make safety copies of all relevant +% files into Archive +F = zeros(12); +F(1:3,1:3) = -zetaCross(gyro); +F(1:3,10:12) = -eye(3); +F(4:6,7:9) = eye(3); +F(7:9,1:3) = -R_b2i * zetaCross(accel); diff --git a/Filtering/Kalman FIlter/constants.m b/Filtering/Kalman FIlter/constants.m new file mode 100644 index 0000000..5d7d84f --- /dev/null +++ b/Filtering/Kalman FIlter/constants.m @@ -0,0 +1,72 @@ +%%Initializing constants +%Sensor Bias: +gyro_bias = [-15.267 -9.8963 -2.37]*(pi/180); %Measured in dps, converted to rad/s +accel_bias = [0.00171 -0.66371 0.01735]; %m/s^2 +mag_bias = [0.035 0.045 -0.015]; %G +dt = 40/10000; %assuming a 200Hz filter + sensor poll/update rate + +%Covariance Defines (p = variable to store constants and pass into our matlab function): +p.est_cov = 1.0; %How much we trust obsv vs. measurements initially + +%Gyro (rad/s) - estimated from datasheet & testing +gyro_bias_cov = 0.005; +gyro_cov = 0.01; + +%Accel (m/s^2) - estimated from datasheet & testing +accel_obs_cov = .5; +accel_proc_cov = 0.2; %How much we expect to deviate between updates +accel_bias_cov = 0.05; + +%Mag (G/s) - estimated from datasheet & testing + +mag_proc_cov = 0.01; +mag_bias_cov = 0.1; +mag_obs_cov = 0.1; + +%Matrix Defines +p.obsv_cov_mat = eye(6); +p.obsv_cov(1:3,1:3) = accel_obs_cov * eye(3); +p.obsv_cov(4:6,4:6) = mag_obs_cov * eye(3); + +p.gyro_cov_mat = gyro_cov*eye(3); +p.gyro_bias_cov_mat = gyro_bias_cov*eye(3); +p.accel_cov_mat = accel_proc_cov*eye(3); +p.accel_bias_cov_mat = accel_bias_cov*eye(3); +p.mag_cov_mat = mag_proc_cov*eye(3); +p.mag_bias_cov_mat = mag_bias_cov*eye(3); + +%Process noise covariance, statically defined for fixed timestep +p.Q = zeros(15); +p.Q(1:3, 1:3) = p.gyro_cov_mat*dt + p.gyro_bias_cov_mat*(dt^3)/3.0; +p.Q(1:3, 10:12) = -p.gyro_bias_cov_mat*(dt^2)/2.0; +p.Q(4:6, 4:6) = p.accel_cov_mat*dt + p.accel_bias_cov_mat*(dt^3)/3.0; +p.Q(4:6, 7:9) = p.accel_cov_mat*(dt^2)/2.0 + p.accel_bias_cov_mat*(dt^4)/8.0; +p.Q(4:6, 13:15) = -p.accel_bias_cov_mat*(dt^2)/2.0; +p.Q(7:9, 4:6) = p.accel_cov_mat*(dt^2)/2.0 + p.accel_bias_cov_mat*(dt^4)/8.0; +p.Q(7:9, 7:9) = p.accel_cov_mat*(dt^3)/3.0 + p.accel_bias_cov_mat*(dt^5)/20.0; +p.Q(7:9, 13:15) = -p.accel_bias_cov_mat*(dt^3)/6.0; +p.Q(10:12, 1:3) = -p.gyro_bias_cov_mat*(dt^2)/2.0; +p.Q(10:12, 10:12) = p.gyro_bias_cov_mat*dt; +p.Q(13:15, 4:6) = -p.accel_bias_cov_mat*(dt^2)/2.0; +p.Q(13:15, 7:9) = -p.accel_bias_cov_mat*(dt^3)/6.0; +p.Q(13:15, 13:15) = p.accel_bias_cov_mat*dt; + +% p.Q = zeros(15); +% p.Q(1:3, 1:3) = p.gyro_cov_mat*dt + p.gyro_bias_cov_mat*(dt^3)/3.0; +% p.Q(1:3, 10:12) = -p.gyro_bias_cov_mat*(dt^2)/2.0; +% p.Q(4:6, 4:6) = p.accel_cov_mat*(dt^3)/3.0 + p.accel_bias_cov_mat*(dt^5)/20.0; +% p.Q(4:6, 7:9) = p.accel_cov_mat*(dt^2)/2.0 + p.accel_bias_cov_mat*(dt^4)/8.0; +% p.Q(4:6, 13:15) = -p.accel_bias_cov_mat*(dt^3)/6.0; +% p.Q(7:9, 4:6) = p.accel_cov_mat*(dt^2)/2.0 + p.accel_bias_cov_mat*(dt^4)/8.0; +% p.Q(7:9, 7:9) = p.accel_cov_mat*dt + p.accel_bias_cov_mat*(dt^3)/3.0; +% p.Q(7:9, 13:15) = -p.accel_bias_cov_mat*(dt^2)/2.0; +% p.Q(10:12, 1:3) = -p.gyro_bias_cov_mat*(dt^2)/2.0; +% p.Q(10:12, 10:12) = p.gyro_bias_cov_mat*dt; +% p.Q(13:15, 4:6) = -p.accel_bias_cov_mat*(dt^3)/6.0; +% p.Q(13:15, 7:9) = -p.accel_bias_cov_mat*(dt^2)/2.0; +% p.Q(13:15, 13:15) = p.accel_bias_cov_mat*dt; + +% Hand-tuning factors +% p.Q(1:3, 1:3) = p.Q(1:3, 1:3) * 0.1; +% p.Q(10:12, 10:12) = p.Q(10:12, 10:12) * 0.1; +% p.Q(13:15, 13:15) = p.Q(13:15, 13:15) * 0.05; \ No newline at end of file diff --git a/Filtering/Kalman FIlter/constants_port.m b/Filtering/Kalman FIlter/constants_port.m new file mode 100644 index 0000000..0183e61 --- /dev/null +++ b/Filtering/Kalman FIlter/constants_port.m @@ -0,0 +1,65 @@ + +%Taken from example implementation +p2.est_cov = 1.0; +gyro_bias_cov = 0.005; +accel_proc_cov = 0.05; +accel_bias_cov = 0.02; +mag_proc_cov = 0.1; +mag_bias_cov = 0.1; + +gyro_cov = 0.01; +accel_obs_cov = 0.15; +mag_obs_cov = 0.1; + +%Init constants +dt = 0.005; + +%body vectors, defined from flight computer notation +p2.f_global_body = [0 0 -9.81]; %Expected gravity vector from 0 (standing upright) +p2.m_global_body = [1 0 0]; %Expected normalized field vector from 0 (standing upright) + +p2.obsv_cov_mat = eye(6); +p2.obsv_cov_mat(1:3,1:3) = accel_obs_cov * eye(3); +p2.obsv_cov_mat(4:6,4:6) = mag_obs_cov * eye(3); + +p2.gyro_cov_mat = gyro_cov*eye(3); +p2.gyro_bias_cov_mat = gyro_bias_cov*eye(3); +p2.accel_cov_mat = accel_proc_cov*eye(3); +p2.accel_bias_cov_mat = accel_bias_cov*eye(3); +p2.mag_cov_mat = mag_proc_cov*eye(3); +p2.mag_bias_cov_mat = mag_bias_cov*eye(3); + +p2.G = zeros(15); +p2.G(1:3,10:12) = -eye(3); +p2.G(7:9,4:6) = eye(3); + +% p2.Q = zeros(12); +% p2.Q(1:3, 1:3) = p2.gyro_cov_mat*dt + p2.gyro_bias_cov_mat*(dt^3)/3.0; +% p2.Q(1:3, 10:12) = -p2.gyro_bias_cov_mat*(dt^2)/2.0; +% p2.Q(4:6, 4:6) = p2.accel_cov_mat*dt; +% p2.Q(4:6, 7:9) = p2.accel_cov_mat*(dt^2)/2.0; +% p2.Q(7:9, 4:6) = p2.accel_cov_mat*(dt^2)/2.0; +% p2.Q(7:9, 7:9) = p2.accel_cov_mat*(dt^3)/3.0; +% p2.Q(10:12, 1:3) = -p2.gyro_bias_cov_mat*(dt^2)/2.0; +% p2.Q(10:12, 10:12) = p2.gyro_bias_cov_mat*dt; + +%Process noise covariance, statically defined for fixed timestep +p2.Q = zeros(12); +p2.Q(1:3, 1:3) = p2.gyro_cov_mat*dt + p2.gyro_bias_cov_mat*(dt^3)/3.0; +p2.Q(1:3, 10:12) = -p2.gyro_bias_cov_mat*(dt^2)/2.0 * 0.01; +p2.Q(7:9, 4:6) = p2.accel_cov_mat*dt; +p2.Q(7:9, 7:9) = p2.accel_cov_mat*(dt^2)/2.0; +p2.Q(4:6, 4:6) = p2.accel_cov_mat*(dt^2)/2.0; +p2.Q(4:6, 7:9) = p2.accel_cov_mat*(dt^3)/3.0; +p2.Q(10:12, 1:3) = -p2.gyro_bias_cov_mat*(dt^2)/2.0 * 0.01; +p2.Q(10:12, 10:12) = p2.gyro_bias_cov_mat*dt; + +%Hand tuning +p2.Q(1:3, 1:3) = p2.Q(1:3, 1:3) * 0.2; +p2.Q(10:12, 10:12) = p2.Q(10:12, 10:12) * 0.005; +%p2.Q(12,12) = p2.Q(12,12) * 0.01; +%p2.Q(3, 3) = p2.Q(3, 3) * 0.01; + +% busInfo = Simulink.Bus.createObject(p2); +% MyBus = eval(busInfo.busName); % Grab the created bus +% assignin('base','MyBus',MyBus); % Store as 'MyBus' in workspace \ No newline at end of file diff --git a/LoadSimulation.m b/LoadSimulation.m new file mode 100644 index 0000000..1635689 --- /dev/null +++ b/LoadSimulation.m @@ -0,0 +1,70 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% This file loads in all the constants and parameters for the Simulink into +% workspace. Please always run this file before running a full-scale +% simulation if you've made any changes to trajectory, controls, filtering, +% or others. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Initialize parameters and clear functions +% Initial conditions for state +% YOU CHANGED THE ACTUATORS DUMMY, IF IT DOESNT WORK IT'S CUZ OF THAT DONT +% GO INSANE THX -Pablo +clear; +clear ref_generator3; +clear inputfcn3; +clear EstimateStateFCN; +clear SensorSimulation; +clear GPS_Sim; + +addpath('.\Parameters'); +addpath('.\Filtering'); +addpath('.\Filtering\EMA Filter'); +addpath('.\Filtering\Kalman Filter'); +addpath('.\Filtering\ANF'); +addpath('.\Simulation'); +addpath('.\Trajectory'); +addpath('.\Actuators'); +addpath('.\Controls'); +addpath('.\Sensors'); +addpath('.\Plotting'); +constants_port; +constantsASTRA = constructConstants; +constantsASTRA.Q = p2.Q; +constantsASTRA.R = p2.obsv_cov_mat; +covar_vec = [accel_proc_cov; gyro_cov; mag_proc_cov]; + +%% +x0 = zeros(15,1); +u0 = [0; 0; constantsASTRA.g * constantsASTRA.m; 0]; + +%% Generate nominal dynamics function +% Documentation for the math available on Confluence. +[x, u2, x_dot] = EoMGenerator(constantsASTRA, 2); +[linSys, disLinSys] = dynamics(x, u2, x_dot, constantsASTRA); +matlabFunction(x_dot, 'File', './Simulation/nominalDynamics.m', 'Vars', [{x}, {u2}]); +linSys.A = linSys.A(1:12,1:12); +linSys.B = linSys.B(1:12,:); +constantsASTRA.mag = [cos(pi/6); 0; -sin(pi/6)]; +ASTRAv2 = Simulink.Bus.createObject(constantsASTRA); +% Simulink.Bus.createObject(linSys); + +%% Generate LQR Controller for Simulation +% Brysons Rule for Q and R. +a_weights = ones(12,1); +b_weights = ones(4,1); +a_weights = a_weights / norm(a_weights); +b_weights = b_weights / norm(b_weights); + +max_x = [5, 5, 0.08, 1000, 1000, 1000, 0.55, 0.55, 2, 1, 1, 2]; +max_u = [pi/45, pi/45, 6, 0.5]; + +Q = eye(size(linSys.A,1)) .* a_weights ./ max_x.^2; +R = eye(size(linSys.B,2)) .* b_weights ./ max_u.^2; + +[K, ~, ~] = lqr(linSys.A, linSys.B, Q, R); + +%% Checkpoints and HoldTimes for Trajectory +Checkpoints = [0, 0, 0, 3, 3, 0, 0, 0; + 0, 0, 3, 3, 0, 0, 0, 0; + 0, 3, 3, 3, 3, 3, 0, 0]; +HoldTimeReqs = [4, 3, 3, 3, 3, 3, 0, 0.2]; diff --git a/params/.empty b/Parameters/.empty similarity index 100% rename from params/.empty rename to Parameters/.empty diff --git a/params/constants.xlsx b/Parameters/constants.xlsx similarity index 54% rename from params/constants.xlsx rename to Parameters/constants.xlsx index 4d611b8..24df501 100644 Binary files a/params/constants.xlsx and b/Parameters/constants.xlsx differ diff --git a/params/constructConstants.m b/Parameters/constructConstants.m similarity index 100% rename from params/constructConstants.m rename to Parameters/constructConstants.m diff --git a/Plotting/Plot6DoF.m b/Plotting/Plot6DoF.m new file mode 100644 index 0000000..2ae882d --- /dev/null +++ b/Plotting/Plot6DoF.m @@ -0,0 +1,91 @@ +function Plot6DoF(Checkpoints) + % Load the Simulink model + load_system("SimulationLoop.slx"); + + % Run the simulation + simOut = sim("SimulationLoop.slx"); + + % Extract state timeseries + stateTimeSeries = simOut.state_log; + t = stateTimeSeries.Time; % Time vector + x = stateTimeSeries.Data; % State matrix (15 x time) + + % Extract states (q_vec is 3x1 vector part) + % q_vec = x(1:3, :)'; % [qx qy qz] + r = x(4:6, :)'; % Position [x y z] + % v = x(7:9, :)'; % Not plotted + % ang_rate = x(10:12, :)'; % Not plotted + % gyro_bias = x(13:15, :)'; % Not plotted + + % Compute scalar quaternion q0 (assuming unit norm and q0 >= 0) + % q0 = sqrt(1 - sum(q_vec.^2, 2)); + % q_full = [q0, q_vec(:,1), q_vec(:,2), q_vec(:,3)]; % [w x y z] + + % Plot 3D trajectory with color gradient by time (blue to red) + figure(1); + colormap('jet'); % Blue at start, red at end; adjust colormap if desired + surf([r(:,1) r(:,1)], [r(:,2) r(:,2)], [r(:,3) r(:,3)], [t t], ... + 'FaceColor', 'none', 'EdgeColor', 'interp', 'LineWidth', 2); + cb = colorbar; + cb.Label.String = 'Time (s)'; + hold on; + xlabel('X'); + ylabel('Y'); + zlabel('Z'); + title('3D Trajectory'); + grid on; + axis equal; + + % Plot checkpoints + for i = 1:1:size(Checkpoints, 2) + plot3(Checkpoints(1,i), Checkpoints(2,i), Checkpoints(3,i), "ro", 'MarkerSize',20); + end + zlim([0 6]); + hold off; + + % New separate figure with 3 2D plots for traces (using tiledlayout for reduced spacing) + fig = figure(2); + fig.Position = [50 100 700 400]; % Optional: Smaller figure size (adjust as needed) + colormap('jet'); % Same colormap + + tiledlayout(1, 3, 'TileSpacing', 'compact', 'Padding', 'compact'); % Tighter spacing with 'none' + + % XY trace + nexttile; + surf([r(:,1) r(:,1)], [r(:,2) r(:,2)], [zeros(size(t)) zeros(size(t))], [t t], ... + 'FaceColor', 'none', 'EdgeColor', 'interp', 'LineWidth', 2); + view(2); % 2D view + xlabel('X'); + ylabel('Y'); + title('XY Trace'); + grid on; + axis equal; + + % XZ trace + nexttile; + surf([r(:,1) r(:,1)], [r(:,3) r(:,3)], [zeros(size(t)) zeros(size(t))], [t t], ... + 'FaceColor', 'none', 'EdgeColor', 'interp', 'LineWidth', 2); + view(2); + xlabel('X'); + ylabel('Z'); + title('XZ Trace'); + grid on; + axis equal; + + % YZ trace + nexttile; + surf([r(:,2) r(:,2)], [r(:,3) r(:,3)], [zeros(size(t)) zeros(size(t))], [t t], ... + 'FaceColor', 'none', 'EdgeColor', 'interp', 'LineWidth', 2); + view(2); + xlabel('Y'); + ylabel('Z'); + title('YZ Trace'); + grid on; + axis equal; + + % Add shared colorbar for the figure (slimmer to save space) + cb = colorbar('Position', [0.93 0.15 0.015 0.7]); % Slimmer width (0.015 instead of 0.02) + cb.Label.String = 'Time (s)'; + + sgtitle('2D Trajectory Traces'); % Overall title +end diff --git a/Sensors/GPS_Sim.m b/Sensors/GPS_Sim.m new file mode 100644 index 0000000..10f5434 --- /dev/null +++ b/Sensors/GPS_Sim.m @@ -0,0 +1,32 @@ +function GPS = GPS_Sim(Pos, t) + +% Integrate rate limiting directly into GPS measurements instead of through +% SensorRates function. Keep Sensor Rates for IMU only. + +GPS_Rate = 15; %Hz +persistent error_pos lastGPS lastTime +if isempty(error_pos) + error_pos = 0; + lastGPS = zeros(6,1); + lastTime = 0; % Update last GPS timestamp +end + +dT = t - lastTime; + +if t - lastTime > 1 / GPS_Rate + % Correlated noise measurements (GMP) + RTK = 1; + gps_pos_covar = 0.01 * RTK + 0.14 * (1 - RTK); + decay = 15; + beta = exp(-dT / decay); + error_pos = beta * error_pos + sqrt(1 - beta^2) * gps_pos_covar * randn; + + % Fake GPS Measurements (derivate velocity from GPS_Pos) + GPS = zeros(6,1); + GPS(1:3) = Pos + error_pos; + GPS(4:6) = (GPS(1:3) - lastGPS(1:3)) / dT; + lastGPS = GPS; + lastTime = t; +else + GPS = lastGPS; +end diff --git a/Sensors/SensorRates.m b/Sensors/SensorRates.m new file mode 100644 index 0000000..e115276 --- /dev/null +++ b/Sensors/SensorRates.m @@ -0,0 +1,36 @@ +function z = SensorRates(Accel, Gyros, Mag, GPS, constantsASTRA, t) + +% Simulates magnetometer, accelerometer, and gyros given the true state and +% a covariance vector. No biases for now. + +% Update rates +IMU_Rate = 1000; %Hz +GPS_Rate = 15; %Hz +z = zeros(15,1); + +persistent lastGPS lastIMU lastZ + +if isempty(lastGPS) + lastGPS = 0; % Update last GPS timestamp + lastIMU = 0; % Update last IMU timestamp + lastZ = [0; 0; 9.81; zeros(3,1); constantsASTRA.mag; zeros(6,1)]; +end + +% Fake IMU measurements +if t - lastIMU > 1 / IMU_Rate + z(1:3) = Accel; + z(4:6) = Gyros; + z(7:9) = Mag; + lastIMU = t; +else + z(1:9) = lastZ(1:9); +end + +% Fake GPS measurements +if t - lastGPS > 1 / GPS_Rate + z(10:15) = GPS; + lastGPS = t; +else + z(10:15) = lastZ(10:15); +end +lastZ = z; \ No newline at end of file diff --git a/Simulation/.gitignore b/Simulation/.gitignore new file mode 100644 index 0000000..1e22209 --- /dev/null +++ b/Simulation/.gitignore @@ -0,0 +1,3 @@ +/MEKF_Sim/constants.asv +/MEKF_Sim/MEKF_Sim.slxc +/MEKF_Sim/slprj \ No newline at end of file diff --git a/Simulation/EoMGenerator.mlx b/Simulation/EoMGenerator.mlx new file mode 100644 index 0000000..7e00be2 Binary files /dev/null and b/Simulation/EoMGenerator.mlx differ diff --git a/Simulation/HamiltonianProd.m b/Simulation/HamiltonianProd.m new file mode 100644 index 0000000..25f71d1 --- /dev/null +++ b/Simulation/HamiltonianProd.m @@ -0,0 +1,6 @@ +function M = HamiltonianProd(q) +M = [q(1) -q(2) -q(3) -q(4); + q(2) q(1) -q(4) q(3); + q(3) q(4) q(1) -q(2); + q(4) -q(3) q(2) q(1)]; +end \ No newline at end of file diff --git a/Simulation/dynamics.m b/Simulation/dynamics.m new file mode 100644 index 0000000..17f7406 --- /dev/null +++ b/Simulation/dynamics.m @@ -0,0 +1,71 @@ +% Converts the EoMs into the Dynamics +% The dynamics function converts the manually derived EoM into the linear +% and discretized versions for other functions to use. This function also +% generates the nonlinear plant functions for x_dot & y that can be used by +% other functions and as simulink blocks. +% +% Outputs: +% lin - structure containing state space matrices (A,B,C,D) +% linDis - structure containing discrete state space matrices +% plantState - nonlinear plant state function +% plantOutput - nonlinear plant output function +% +% [NOT IMPLEMENTED YET! Need more info on ASTRA] +% w - not included in linearization +% y - currently uses y = eye(n)*x + +function [lin, linDis] = dynamics(x, u, x_dot, constants) + + % Linearized around static vertical position + delx = [0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0]; + delu = [0; 0; constants.m * constants.g; 0]; + + % Linear relations + % Takes the jacobian of the state dyanmics and output and subsitutes in + % the values at our desired point of linearization. + % NOTE: replace "[x; u], [delx; delu]" with "[x; u; w], [delx; delu; + % delw]" when disturbance is added + lin.A = double(subs(jacobian(x_dot, x), [x; u], [delx; delu])); % Jacobian of f with respect to x + lin.B = double(subs(jacobian(x_dot, u), [x; u], [delx; delu])); % Jacobian of f with respect to u + + % Numerical functions for Jacobians for Controls. + matlabFunction(jacobian(x_dot, x), 'File', './Controls/JacobianX.m', 'Vars', [{x}, {u}]); + matlabFunction(jacobian(x_dot, u), 'File', './Controls/JacobianU.m', 'Vars', [{x}, {u}]); + + % Assumes direct measurement of positions via GPS and angular velocity + % via gyroscope (In the future, could expand to measure quaterion + % directly via accelerometer data and DCM). + % Adds 6 due to bias augmentation + lin.C = eye(size(lin.A, 1)); + lin.C = lin.C([1:7 10:12], :); + lin.D = zeros(size(lin.C, 1), size(lin.B, 2)); + y = x; + + % Discrete Linear + % Creates a system object using continuous matrices and converts them to + % discrete form using the c2d function with time step T + sysLin = ss(lin.A, lin.B, lin.C, lin.D); + sysDis = c2d(sysLin, constants.T); + + linDis.Ad = sysDis.A; + linDis.Bd = sysDis.B; + linDis.Cd = sysDis.C; + linDis.Dd = sysDis.D; + + % Update the C matrix to augmented form + lin.C = eye(size(lin.A, 1) + 3); + lin.C = lin.C([1:7 10:12], :); + + % Output linear and discrete functions for matlab. Use matlabFunciton to + % get nonlinear plant model + % plantState = matlabFunction(x_dot, 'File', './sim/lib/plantfcn.m', "Vars",[{x}, {u}]); + % plantOutput = matlabFunction(y, "Vars", [{x}, {u}]); + + % Repeats function generation process for augmented system for EKF + % [xAUG, u, xAUG_dot] = EoMGenerator(constants, 2); + % matlabFunction(jacobian(xAUG_dot, xAUG), 'File', './sim/lib/AUG_JacobianX.m', 'Vars', [{xAUG}, {u}]); + % matlabFunction(jacobian(xAUG_dot, u), 'File', './sim/lib/AUG_JacobianU.m', 'Vars', [{xAUG}, {u}]); + % plantState = matlabFunction(xAUG_dot, 'File', './sim/lib/AUG_plantfcn.m', "Vars",[{xAUG}, {u}]); + + +end \ No newline at end of file diff --git a/Simulation/nominalDynamics.m b/Simulation/nominalDynamics.m new file mode 100644 index 0000000..012cb86 --- /dev/null +++ b/Simulation/nominalDynamics.m @@ -0,0 +1,58 @@ +function x_dot = nominalDynamics(in1,in2) +%nominalDynamics +% X_DOT = nominalDynamics(IN1,IN2) + +% This function was generated by the Symbolic Math Toolbox version 25.2. +% 05-Nov-2025 19:06:56 + +b4 = in1(13,:); +b5 = in1(14,:); +b6 = in1(15,:); +omega1 = in1(10,:); +omega2 = in1(11,:); +omega3 = in1(12,:); +phi = in2(2,:); +q1 = in1(1,:); +q2 = in1(2,:); +q3 = in1(3,:); +tau = in2(4,:); +theta = in2(1,:); +thrust = in2(3,:); +v1 = in1(7,:); +v2 = in1(8,:); +v3 = in1(9,:); +t2 = cos(phi); +t3 = cos(theta); +t4 = sin(phi); +t5 = sin(theta); +t6 = q1.^2; +t7 = q2.^2; +t8 = q3.^2; +t9 = q1.*q2.*2.0; +t10 = q1.*q3.*2.0; +t11 = q2.*q3.*2.0; +t12 = -omega1; +t13 = -omega2; +t14 = -omega3; +t24 = b4.*(5.3e+1./1.0e+3); +t25 = omega1.*(5.3e+1./1.0e+3); +t15 = t6.*2.0; +t16 = t7.*2.0; +t17 = t8.*2.0; +t18 = -t6; +t19 = -t7; +t20 = -t8; +t21 = b4+t12; +t22 = b5+t13; +t23 = b6+t14; +t26 = -t25; +t27 = t18+t19+t20+1.0; +t28 = t24+t26; +t29 = sqrt(t27); +t30 = q1.*t29.*2.0; +t31 = q2.*t29.*2.0; +t32 = q3.*t29.*2.0; +mt1 = [q2.*t23.*(-1.0./2.0)+(q3.*t22)./2.0-(t21.*t29)./2.0;(q1.*t23)./2.0-(q3.*t21)./2.0-(t22.*t29)./2.0;q1.*t22.*(-1.0./2.0)+(q2.*t21)./2.0-(t23.*t29)./2.0;v1;v2;v3;-t5.*thrust.*(t9-t32)-t3.*t4.*thrust.*(t16+t17-1.0)+t2.*t3.*thrust.*(t10+t31);t5.*thrust.*(t15+t17-1.0)+t3.*t4.*thrust.*(t9+t32)+t2.*t3.*thrust.*(t11-t30);-t5.*thrust.*(t11+t30)-t2.*t3.*thrust.*(t15+t16-1.0)+t3.*t4.*thrust.*(t10-t31)-9.81e+2./1.0e+2]; +mt2 = [t5.*thrust.*(1.2e+1./5.0)-t23.*(b5.*(5.3e+1./1.0e+3)-omega2.*(5.3e+1./1.0e+3)).*2.0e+1+t22.*(b6.*(5.3e+1./1.0e+3)-omega3.*(5.3e+1./1.0e+3)).*2.0e+1+t3.*t4.*tau.*2.0e+1;t23.*t28.*(1.0e+3./5.3e+1)-t5.*tau.*(1.0e+3./5.3e+1)-t21.*(b6./2.0e+1-omega3./2.0e+1).*(1.0e+3./5.3e+1)+t3.*t4.*thrust.*(1.2e+2./5.3e+1);t22.*t28.*(-1.0e+3./5.3e+1)+t21.*(b5./2.0e+1-omega2./2.0e+1).*(1.0e+3./5.3e+1)+t2.*t3.*tau.*(1.0e+3./5.3e+1);0.0;0.0;0.0]; +x_dot = [mt1;mt2]; +end diff --git a/sim/quatRot.m b/Simulation/quatRot.m similarity index 100% rename from sim/quatRot.m rename to Simulation/quatRot.m diff --git a/Simulation/wind.asv b/Simulation/wind.asv new file mode 100644 index 0000000..4e4728f --- /dev/null +++ b/Simulation/wind.asv @@ -0,0 +1,23 @@ +function final_xdot = wind(xdot, wind_vel) + +% Constants needed for force calculation +AREA = 0.07; % Lateral surface are of ASTRA - m/s +AIR_DENSITY = 1.246656; % Estimated air desnsity - kg/m^3 +% (plan to calculate more accuraately with sensor information like temperature) +mass = 0.9950; % ASTRA mass (couldn't figure out how to get it from constantsASTRA) - kg +Cd = 1; % Estimated Drag coefficient + +% Calculates component accelerations from drag equation and wind velocity +wind_acel = (1/2) * wind_vel.^2 * AREA * AIR_DENSITY * Cd / mass; + +% Turning South-West output of function to North-West coordinate system +WtE = [-1, 0; + 0, 1]; +acel_vect = transpose(wind_acel) * WtE; + +% Turns the acceleration into a 15 state ve +total_vect = [zeros(6,1); transpose(acel_vect); zeros(7,1)]; + +final_xdot = xdot + total_vect; + +end \ No newline at end of file diff --git a/Simulation/wind.m b/Simulation/wind.m new file mode 100644 index 0000000..f8591f0 --- /dev/null +++ b/Simulation/wind.m @@ -0,0 +1,39 @@ +function total_vect = wind(constantsASTRA, wind_vel, X) + +ASTRA_vel = X(7:9); % Lateral velocities +% Quaternion components +q1 = X(1); +q2 = X(2); +q3 = X(3); +q0 = sqrt(1 - q1^2 - q2^2 - q3^2); + +mass = constantsASTRA.m; +MoI = constantsASTRA.J; +moment = [0, 0, 0.120] * quatRot([q0, q1, q2, q3]); % Distance from CoM to CoP rotated by Earth to Body DCM + +rel_vel = wind_vel + ASTRA_vel; + +% Constants needed for force calculation +AREA = 0.07 * 0.8; % Lateral surface area of ASTRA - m^2 +AIR_DENSITY = 1.246656; % Estimated air desnsity - kg/m^3 +Cd = 0.95; % Estimated Drag coefficient + +% Calculates component accelerations from drag equation and wind velocity +wind_force = sign(rel_vel) .* (1/2) .* rel_vel.^2 * AREA * AIR_DENSITY * Cd; + + +% Turning South-West Earth coordinate output of function to North-West Earth coordinate system +WtE = [-1, 0, 0; + 0, 1, 0; + 0, 0, 0]; +force_vect = transpose(wind_force) * WtE; + +accel_vect = force_vect ./ mass; +torque_vect = cross(force_vect, moment); +ang_accel_vect = MoI\transpose(torque_vect); + + +% Turns the acceleration into a 15 state vector to add to xdot +total_vect = [zeros(6,1); transpose(accel_vect); ang_accel_vect; zeros(3,1)]; + +end \ No newline at end of file diff --git a/sim/zetaCross.m b/Simulation/zetaCross.m similarity index 100% rename from sim/zetaCross.m rename to Simulation/zetaCross.m diff --git a/SimulationLoop.slx b/SimulationLoop.slx new file mode 100644 index 0000000..ea21099 Binary files /dev/null and b/SimulationLoop.slx differ diff --git a/Trajectory/html/ref_generator3.pdf b/Trajectory/html/ref_generator3.pdf new file mode 100644 index 0000000..ea85f0c Binary files /dev/null and b/Trajectory/html/ref_generator3.pdf differ diff --git a/Trajectory/inputfcn3.m b/Trajectory/inputfcn3.m new file mode 100644 index 0000000..02cc424 --- /dev/null +++ b/Trajectory/inputfcn3.m @@ -0,0 +1,39 @@ +function u = inputfcn3(u, t) + u = u'; + thrust_max = 1.5 * 9.8; %N + maxU = [pi/24, pi/24, thrust_max, thrust_max * 10]; + minU = [-pi/24, -pi/24, thrust_max * 0.4, -thrust_max * 10]; + MaxDeltaThrottle = 2; %throttle change per sec + MaxDeltaAngle = pi/2; %rad/s + + % Input Saturation + u = max(minU, u); + u = min(maxU, u); + + + % Avoid rate limiter due to testing Actuator Models + + % persistent prevInput + % persistent prevTime + % if isempty(prevInput) + % prevInput = u; + % prevTime = 0; + % end + % dt = t - prevTime; + % prevTime = t; + % + % % Input Rate Limiter + % MaxAllowThrottle = prevInput(3) + MaxDeltaThrottle * dt * thrust_max; + % MinAllowThrottle = prevInput(3) - MaxDeltaThrottle * dt * thrust_max; + % + % MaxAllowGimbal = prevInput(1:2) + MaxDeltaAngle * dt; + % MinAllowGimbal = prevInput(1:2) - MaxDeltaAngle * dt; + % + % % Output + % u(3) = max(u(3), MinAllowThrottle); + % u(3) = min(u(3), MaxAllowThrottle); + % + % u(1:2) = max(MinAllowGimbal, u(1:2)); + % u(1:2) = min(MaxAllowGimbal, u(1:2)); + % prevInput = u; +end \ No newline at end of file diff --git a/Trajectory/ref_generator3.m b/Trajectory/ref_generator3.m new file mode 100644 index 0000000..ecf446e --- /dev/null +++ b/Trajectory/ref_generator3.m @@ -0,0 +1,64 @@ +function ref = ref_generator3(x, t, TargetPos, HoldTimeReqs) + + % Sets the time to execute an abort at + % A value of 0 result in no abort being run + ABORT = 0; + + x = x(1:12,1); + MaxAscentSpeed = 4; %m/s + MaxDescentSpeed = -4; %m/s + MaxLatSpeed = 1; %m/s + % HoldTimeReqs = [4, 3, 3, 3, 3, 3, 0.2]; % Time needed to hold at each checkpoint + + persistent timeFlag + persistent i + persistent timeCounter + persistent prevTime + persistent HoldMode + + if isempty(timeFlag) + timeFlag = 999; + i = 1; + timeCounter = 0; + prevTime = 0; + HoldMode = 0; + end + dt = t - prevTime; + prevTime = t; + + % Ignores lateral position gain if time is past set abort value + % ABORT MODE LOGIC: If artificial abort is triggered, enter abort mode + % loop. If the position hold mode is disabled, set lateral velocity + % references to zero by setting their gains to zero. If lateral + % velocities are below threshold, pick current position as hold and + % activate HoldMode. + + PosGain = [0.55; 0.55; 0.75]; + isABORT = ABORT > 0 && t >= ABORT; + if isABORT + if HoldMode == 0 + PosGain = [0; 0; 0.7]; + TargetPos(:,i) = zeros(3,1); + end + if norm(x(7:8)) < 0.2 && HoldMode == 0 + TargetPos(:,i) = [x(4:5); 0]; + HoldMode = 1; + end + end + + PosError = TargetPos(:, i) - x(4:6); + TargetVel = PosGain .* PosError; + TargetVel(1:2) = max(min(TargetVel(1:2), MaxLatSpeed), -MaxLatSpeed); + TargetVel(3) = max(min(TargetVel(3), MaxAscentSpeed), MaxDescentSpeed); + + TargetVec = [zeros(3,1); TargetPos(:, i); TargetVel; zeros(3,1)]; + + ref = x - TargetVec; + + if norm(ref(4:6,1)) < sqrt(3) && isABORT == 0 + timeCounter = timeCounter + dt; + end + if timeCounter > HoldTimeReqs(i) && i < size(HoldTimeReqs,2) + i = i + 1; + timeCounter = 0; + end \ No newline at end of file diff --git a/cpp/.gitignore b/cpp/.gitignore new file mode 100644 index 0000000..5f90e6e --- /dev/null +++ b/cpp/.gitignore @@ -0,0 +1,3 @@ +.pio +.vscode/* +logs \ No newline at end of file diff --git a/cpp/convert_m_cpp.py b/cpp/convert_m_cpp.py new file mode 100644 index 0000000..d182fde --- /dev/null +++ b/cpp/convert_m_cpp.py @@ -0,0 +1,162 @@ +import json +import os +import re # regex + +ml_vars: dict[str, str] = {} +has_been_init = set() +has_been_init_bk = set() + +def get_cpp_datatype(shortcode: str): + if shortcode == "1x1": + return "float" + if shortcode == "struct": + return "struct" + if shortcode.split('x')[1] == "1": + return "Vector" + shortcode.split('x')[0] + return "Matrix" + shortcode.split('x')[0] + "_" + shortcode.split('x')[1] + + + +def conv_func_header(line: str): + line = line.replace('function ', '') + line = line.replace(',', ', ') + for varname in line.split(): + varname = varname.removesuffix(',').removesuffix(')') + if varname in ml_vars: + data_type = get_cpp_datatype(ml_vars[varname]) + line = line.replace(varname, data_type + ' ' + varname) + + ret_name = line.split(' ')[1] + line = line.replace(ret_name, '', 1) + line = line.replace('=', '', 1) + line += ' {' + + return line + +def rep_segment(line): + matches = re.finditer(r"([a-zA-Z_]+)\((\d+):(\d+)\)", line) + for match in matches: + var, start, end = match.groups() + start = int(start) + end = int(end) + line = line.replace(match.group(), f"{var}.segment<{end - start + 1}>({start - 1})") + + return line + +def rep_block(line): + matches = re.finditer(r"([a-zA-Z_]+)\((\d):(\d),\s*(\d):(\d)\)", line) + for match in matches: + var, start1, end1, start2, end2 = match.groups() + start1 = int(start1) + end1 = int(end1) + start2 = int(start2) + end2 = int(end2) + line = line.replace(match.group(), f"{var}.block<{end1 - start1 + 1}, {end2 - start2 + 1}>({start1 - 1}, {start2 - 1})") + + return line + +def rep_eye(line): + matches = re.finditer(r"eye\((\d+)\)", line) + for match in matches: + size, = match.groups() + size = int(size) + line = line.replace(match.group(), f"Matrix{size}_{size}::Identity()") + + return line + +def rep_one_vec(line): + matches = re.finditer(r"ones\((\d+),\s*1\)", line) + for match in matches: + size, = match.groups() + size = int(size) + line = line.replace(match.group(), f"Vector{size}::Ones()") + + return line + +def rep_zero_vec(line): + matches = re.finditer(r"zeros\((\d+),\s*1\)", line) + for match in matches: + size, = match.groups() + size = int(size) + line = line.replace(match.group(), f"Vector{size}::Zero()") + + return line + +def rep_zero_matrix(line): + matches = re.finditer(r"zeros\((\d+),\s*(\d+)\)", line) + for match in matches: + size1, size2 = match.groups() + size1 = int(size1) + size2 = int(size2) + line = line.replace(match.group(), f"Matrix{size1}_{size2}::Zero()") + + return line + +def rep_norm(line): + matches = re.finditer(r"([a-zA-Z_]+)\s*=\s*[a-zA-Z_]+\s*/\s*norm\([a-zA-Z_]+\)", line) + for match in matches: + var, = match.groups() + line = line.replace(match.group(), f"{var}.normalize()") + + return line + + + +def convert_line(line: str): + global has_been_init + global has_been_init_bk + + line = line.replace('%', '//') + if line.strip().startswith('//'): + return line + line = line.replace("'", '.transpose()') + line = line.replace('expm', 'matrixExpPade6') + line = rep_segment(line) + line = rep_block(line) + line = rep_eye(line) + line = rep_one_vec(line) + line = rep_zero_vec(line) + line = rep_zero_matrix(line) + line = rep_norm(line) + + if line.strip().startswith('if'): + line = line + ' {' + has_been_init_bk = has_been_init.copy() + if line.strip() == 'end': + line = '}' + has_been_init = has_been_init_bk.copy() + # if line.strip().startswith('function'): + # return conv_func_header(line) + + if '=' in line: + first_var = line.split('=')[0].strip() + if first_var in ml_vars and first_var not in has_been_init: + line = get_cpp_datatype(ml_vars[first_var]) + " " + line.lstrip() + has_been_init.add(first_var) + + # special replacements: + line = line.replace("sum(lastZ.segment<9>(0) - z.segment<9>(0)) ~=0", "(new_imu_packet)") + line = line.replace("sum(lastZ.segment<6>(9) - z.segment<6>(9)) ~=0", "(new_gps_packet)") + + return line + + +def convert_file(fname): + global ml_vars + with open(fname) as f: + lines = f.readlines() + + with open('vars.json') as f: + ml_vars = json.load(f) + + with open('auto_' + os.path.basename(fname).replace('.m', '.cpp'), 'w+') as f: + for line in lines: + f.write(convert_line(line.rstrip()) + '\n') + + +def main(): + fpath = r'State Estimation\Kalman FIlter\EstimateStateFCN.m' + convert_file(os.path.dirname(__file__) + '/../' + fpath) + +if __name__ == '__main__': + main() \ No newline at end of file diff --git a/cpp/get_datatypes.m b/cpp/get_datatypes.m new file mode 100644 index 0000000..31a0cbb --- /dev/null +++ b/cpp/get_datatypes.m @@ -0,0 +1,14 @@ +vars = whos; % Get info on all workspace variables +vars = vars(strcmp({vars.class}, 'double')); % Filter only doubles + +if isempty(vars) + disp('No double variables found in workspace.'); +else + fprintf('{'); + for k = 1:length(vars) + sz = sprintf('%dx', vars(k).size); + sz(end) = []; % remove trailing 'x' + fprintf('"%s": "%s",\n', vars(k).name, sz); + end + fprintf('}\n'); +end diff --git a/cpp/include/sample_data.hpp b/cpp/include/sample_data.hpp new file mode 100644 index 0000000..699cc7a --- /dev/null +++ b/cpp/include/sample_data.hpp @@ -0,0 +1,4010 @@ +#define MAX_IDX 1000 + +float z_arr[MAX_IDX][15] = { + {0.00000000, 0.00000000, 9.81000000, 0.00000000, 0.00000000, 0.00000000, 0.86602540, 0.00000000, -0.50000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.04466017, 0.04230682, 8.00253461, 0.00678194, 0.00287853, 0.00297521, 0.84177364, 0.01603690, -0.50052785, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.05193722, 0.05561228, 10.44999406, -0.00172811, 0.00436758, 0.00402506, 0.87157465, 0.02581549, -0.47969529, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.04756422, 0.05596645, 10.06676867, -0.00578050, 0.00815597, -0.00023125, 0.84000942, -0.06027703, -0.52408409, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.04703920, 0.05353442, 9.82753485, -0.00463306, 0.00614030, 0.00091822, 0.88234788, -0.00360572, -0.48919599, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.05181434, 0.05050254, 9.83855649, 0.00318064, 0.00100481, -0.00172828, 0.88048213, -0.04609736, -0.44509732, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.04643809, 0.04610216, 9.85931936, -0.00591759, -0.00647478, -0.00290894, 0.86210466, 0.01157913, -0.49005512, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000}, + {0.04697140, 0.04858531, 9.86066972, -0.00503882, -0.00236188, -0.00185425, 0.85140292, 0.01901973, -0.48067442, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.05256206, 0.04727688, 9.86347875, 0.00424915, -0.00451719, 0.00547450, 0.82228136, -0.06776062, -0.54797396, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.05455729, 0.04780967, 9.86837615, 0.00756028, -0.00363174, 0.01363012, 0.85387186, -0.00442533, -0.49251549, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.04600696, 0.05365735, 9.86461283, -0.00662297, 0.00606646, 0.00740007, 0.84230710, -0.02143659, -0.44303446, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.05064431, 0.05071772, 9.86090240, 0.00106860, 0.00119036, 0.00142391, 0.85236686, 0.01851258, -0.46259315, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.04916900, 0.04957931, 9.85517698, -0.00137837, -0.00069780, -0.00771260, 0.85997742, -0.00999214, -0.51303946, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.04326622, 0.05529775, 9.85971352, -0.01116906, 0.00878718, -0.00045664, 0.86810619, 0.03647576, -0.48083946, 0.00612964, 0.00612964, 0.00612964, 0.09014175, 0.09014175, 0.09014175}, + {0.04473700, 0.04637272, 9.86099077, -0.00872954, -0.00601643, 0.00158401, 0.88780235, 0.04122257, -0.46212411, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.05250929, 0.05158440, 9.86110254, 0.00416207, 0.00262799, 0.00176215, 0.84944182, 0.00370126, -0.52236651, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.04813743, 0.05551407, 9.86301159, -0.00308937, 0.00914599, 0.00481347, 0.85937686, -0.00108442, -0.48760874, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.05273323, 0.04820380, 9.86114517, 0.00453350, -0.00297930, 0.00183035, 0.92672811, -0.01849968, -0.53654622, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.05244886, 0.04755130, 9.85793559, 0.00406184, -0.00406157, -0.00329959, 0.84685451, -0.03141956, -0.49159774, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.05029325, 0.05006582, 9.86056213, 0.00048640, 0.00010918, 0.00089847, 0.86173845, -0.01571387, -0.54014834, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.04910221, 0.04997034, 9.85821591, -0.00148912, -0.00004919, -0.00285156, 0.85839846, -0.02530922, -0.47382099, 0.02700900, 0.02700900, 0.02700900, 0.30704944, 0.30704944, 0.30704944}, + {0.04503881, 0.05098492, 9.87008443, -0.00822895, 0.00163365, 0.01611822, 0.84020916, -0.02740511, -0.48022042, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.05066955, 0.04856792, 9.85926450, 0.00111056, -0.00237534, -0.00117556, 0.89890910, 0.04484373, -0.46836518, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.04919184, 0.04749461, 9.85628069, -0.00134046, -0.00415561, -0.00594467, 0.89211038, 0.05738437, -0.48201921, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.05047609, 0.05153468, 9.86558140, 0.00078967, 0.00254551, 0.00892091, 0.86527682, 0.01198109, -0.50476397, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.04697745, 0.04571481, 9.85691287, -0.00501338, -0.00710769, -0.00493424, 0.81966339, -0.02363696, -0.46916968, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.05107205, 0.04968532, 9.86226578, 0.00177816, -0.00052195, 0.00362146, 0.87732975, 0.01159930, -0.47837569, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.05038263, 0.04549667, 9.85938491, 0.00063465, -0.00746951, -0.00098311, 0.89902842, 0.00233126, -0.46345309, 0.00113500, 0.00113500, 0.00113500, -0.38050000, -0.38050000, -0.38050000}, + {0.05032046, 0.05440151, 9.86229401, 0.00053154, 0.00730062, 0.00366657, 0.85480387, -0.03417021, -0.50905237, 0.01095902, 0.01095902, 0.01095902, 0.14447084, 0.14447084, 0.14447084}, + {0.05103104, 0.05446005, 9.85458650, 0.00171015, 0.00739772, -0.00865254, 0.88446111, -0.01868607, -0.50723766, 0.01095902, 0.01095902, 0.01095902, 0.14447084, 0.14447084, 0.14447084}, + {0.04905071, 0.05213692, 9.86189689, -0.00157455, 0.00354444, 0.00303185, 0.89034762, 0.04576423, -0.53319284, 0.01095902, 0.01095902, 0.01095902, 0.14447084, 0.14447084, 0.14447084}, + {0.04515593, 0.05027555, 9.85286403, -0.00803468, 0.00045705, -0.01140561, 0.88327366, -0.03749049, -0.54878096, 0.01095902, 0.01095902, 0.01095902, 0.14447084, 0.14447084, 0.14447084}, + {0.04393720, 0.04684070, 9.86025821, -0.01005615, -0.00524021, 0.00041271, 0.86980722, 0.03450095, -0.46250401, 0.01095902, 0.01095902, 0.01095902, 0.14447084, 0.14447084, 0.14447084}, + {0.04685456, 0.04928103, 9.86182463, -0.00521723, -0.00119254, 0.00291635, 0.83783565, -0.01753665, -0.46343622, 0.01095902, 0.01095902, 0.01095902, 0.14447084, 0.14447084, 0.14447084}, + {0.05302870, 0.05102510, 9.85642122, 0.00502359, 0.00170029, -0.00572006, 0.82364526, 0.01768530, -0.49450046, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.05169063, 0.04594465, 9.86029506, 0.00280419, -0.00672646, 0.00047161, 0.85239450, -0.03547643, -0.48930180, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.04891948, 0.04497400, 9.85839840, -0.00179221, -0.00833644, -0.00255987, 0.88186338, 0.03402661, -0.48474188, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.04673758, 0.05460741, 9.85607954, -0.00541126, 0.00764214, -0.00626618, 0.88424507, -0.05091683, -0.46344289, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.05099361, 0.05240382, 9.85866047, 0.00164807, 0.00398713, -0.00214101, 0.95347705, 0.02588536, -0.54294900, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.05632259, 0.05237206, 9.85612926, 0.01048705, 0.00393445, -0.00618671, 0.89750142, 0.00416315, -0.49860017, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.05139416, 0.05312306, 9.86230472, 0.00231244, 0.00518011, 0.00368369, 0.88744392, 0.01126441, -0.49907984, 0.01454351, 0.01454351, 0.01454351, 0.05271315, 0.05271315, 0.05271315}, + {0.05005865, 0.05051013, 9.86019708, 0.00009728, 0.00084614, 0.00031500, 0.82768058, 0.01028569, -0.50759323, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.05241762, 0.04205637, 9.86132466, 0.00401001, -0.01317580, 0.00211724, 0.87253341, -0.00331102, -0.49059469, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.04815603, 0.05175896, 9.85655476, -0.00305853, 0.00291753, -0.00550662, 0.94565325, -0.02874315, -0.47547200, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.04930334, 0.05136192, 9.86371391, -0.00115552, 0.00225897, 0.00593605, 0.86764075, 0.00136387, -0.49621676, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.05388166, 0.04986710, 9.86504691, 0.00643837, -0.00022044, 0.00806661, 0.84901956, 0.03293229, -0.47977203, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.05193362, 0.05010323, 9.85825423, 0.00320723, 0.00017122, -0.00279031, 0.86631778, -0.01360956, -0.43476330, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.04898257, 0.04681475, 9.86165691, -0.00168758, -0.00528325, 0.00264829, 0.84148139, -0.03449747, -0.48248211, -0.00043048, -0.00043048, -0.00043048, -0.22020583, -0.22020583, -0.22020583}, + {0.05171172, 0.04511735, 9.86345194, 0.00283916, -0.00809867, 0.00551733, 0.84122292, -0.02140960, -0.49909290, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.04691886, 0.04637402, 9.86398233, -0.00511058, -0.00601428, 0.00636507, 0.84091474, 0.02803751, -0.54067642, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.05037160, 0.05079385, 9.85924998, 0.00061636, 0.00131672, -0.00119878, 0.92761905, -0.00478837, -0.49172110, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.05290047, 0.05079521, 9.85795959, 0.00481091, 0.00131898, -0.00326125, 0.88087634, 0.02359699, -0.53254561, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.04959502, 0.05190330, 9.86163117, -0.00067172, 0.00315694, 0.00260715, 0.85982455, 0.03696413, -0.45064286, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.04644734, 0.04989604, 9.86543308, -0.00589267, -0.00017243, 0.00868385, 0.91634095, -0.05205614, -0.49035102, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.04900938, 0.04898527, 9.86235266, -0.00164311, -0.00168310, 0.00376032, 0.86299348, -0.03457944, -0.52405558, -0.00537168, -0.00537168, -0.00537168, -0.07266457, -0.07266457, -0.07266457}, + {0.05213442, 0.05156289, 9.86277647, 0.00354029, 0.00259230, 0.00443772, 0.86240828, 0.00967868, -0.51776842, -0.00144131, -0.00144131, -0.00144131, 0.05779948, 0.05779948, 0.05779948}, + {0.04929537, 0.05255286, 9.85685114, -0.00116875, 0.00423434, -0.00503291, 0.86331758, 0.01964784, -0.50001182, -0.00144131, -0.00144131, -0.00144131, 0.05779948, 0.05779948, 0.05779948}, + {0.04420652, 0.05201763, 9.86116531, -0.00960943, 0.00334657, 0.00186255, 0.92700708, 0.01010324, -0.52139126, -0.00144131, -0.00144131, -0.00144131, 0.05779948, 0.05779948, 0.05779948}, + {0.05105362, 0.04954762, 9.86315674, 0.00174760, -0.00075034, 0.00504550, 0.79825084, 0.01237132, -0.49377916, -0.00144131, -0.00144131, -0.00144131, 0.05779948, 0.05779948, 0.05779948}, + {0.04805915, 0.05416803, 9.85984090, -0.00321921, 0.00691337, -0.00025430, 0.86308067, -0.01855314, -0.51552097, -0.00144131, -0.00144131, -0.00144131, 0.05779948, 0.05779948, 0.05779948}, + {0.04867253, 0.04996686, 9.85758914, -0.00220183, -0.00005497, -0.00385334, 0.89380295, 0.05691002, -0.50364612, -0.00144131, -0.00144131, 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-0.00078911, 0.00104268}, + {0.99895115, -0.04485283, 0.00902325, -0.00184305, -0.09806749, 0.05950850, 4.92931062, -0.02688272, 0.21355268, 0.02819754, -0.00069125, -0.00079101, 0.00098076}, + {0.99889177, -0.04617822, 0.00890474, -0.00187402, -0.09839286, 0.06168012, 4.92959842, -0.02509045, 0.22046443, 0.02883087, -0.00058886, -0.00095948, 0.00125360}, +}; \ No newline at end of file diff --git a/cpp/lib/matlab_funcs/EstimateStateFCN.cpp b/cpp/lib/matlab_funcs/EstimateStateFCN.cpp new file mode 100644 index 0000000..f5b7963 --- /dev/null +++ b/cpp/lib/matlab_funcs/EstimateStateFCN.cpp @@ -0,0 +1,117 @@ +#include "matlab_funcs.hpp" + +#define FILTER_MODE 1 +#define RTK 1 + +Vector13 EstimateStateFCN(Vector13 x_est, t_constantsASTRA constantsASTRA, Vector15 z, float dT, float GND, Matrix12_12 &P, bool new_imu_packet, bool new_gps_packet) { + //// M-EKF Implementation + // Filter mode (1 for full INS when GPS signals available, 0 for pure + // integration after launch when no GPS available | limit flight time) + + // Remove bias from gyro + z.segment<3>(3) = z.segment<3>(3) - x_est.segment<3>(10) * (FILTER_MODE == 1 || GND == 1); + + // Extract quaternion + Vector12 dx = Vector12::Zero(); + Vector4 q = x_est.segment<4>(0); + Vector4 t_zseg; + t_zseg << 0, z.segment<3>(3); + Vector4 qdot = 0.5 * HamiltonianProd(q) * t_zseg; + x_est.segment<4>(0) = q + qdot * dT; + q = x_est.segment<4>(0); + + // A-priori quaternion estimate and rotation matrix + q.normalize(); + Matrix3_3 R_b2i = quatRot(q).transpose(); + + // State Transition Matrix + Matrix12_12 F = StateTransitionMat(z.segment<3>(0), z.segment<3>(3), R_b2i); + + Vector3 g_vec3; + g_vec3 << 0, 0, constantsASTRA.g; + + // Propagate rest of state using IMU + x_est.segment<3>(7) = x_est.segment<3>(7) + (R_b2i * z.segment<3>(0) - g_vec3) * dT; + x_est.segment<3>(4) = x_est.segment<3>(4) + x_est.segment<3>(7) * dT; + + // Discrete STM + Matrix12_12 Phi = matrixExpPade6(F * dT); + + // Extract Matrices + Matrix12_12 Q = constantsASTRA.Q; + Matrix6_6 R = constantsASTRA.R; + + // Process Noise Covariance and a-priori propagation step + Q = 0.4 * Q; + P = Phi * P * Phi.transpose() + Q; + + if (new_imu_packet && (FILTER_MODE == 1 || GND == 1)) { + + // Measurement matrix + Matrix6_12 H = Matrix6_12::Zero(); + H.block<3, 3>(0, 0) = zetaCross(R_b2i.transpose() * g_vec3); + H.block<3, 3>(3, 0) = zetaCross(R_b2i.transpose() * constantsASTRA.mag); + + // Measurement Noise Covariance + float w = 1 + 1e5 * (1 - GND); + R.block<3, 3>(0, 0) = R.block<3, 3>(0, 0) * w; + + // A priori covariance and Kalman gain + + Matrix12_6 L = P * H.transpose() * (H * P * H.transpose() + R).inverse(); + + // Predicted measurements + Vector6 z_hat; + z_hat << R_b2i.transpose() * g_vec3, R_b2i.transpose() * constantsASTRA.mag; + + // Kalman Gain Weighting based on predicted acceleration + Matrix12_12 ILH = (Matrix12_12::Identity() - L * H); + P = ILH * P * ILH.transpose() + L * R * L.transpose(); + Vector6 z_slice; + z_slice << z.segment<3>(0), z.segment<3>(6); + Vector6 residual = (z_slice - z_hat); + dx = dx + L * residual; + } + if (new_gps_packet && (FILTER_MODE == 1 || GND == 1)) { + + // Measurement matrix + Matrix6_12 H = Matrix6_12::Zero(); + H.block<3, 3>(0, 3) = Matrix3_3::Identity(); + H.block<3, 3>(3, 6) = Matrix3_3::Identity(); + + // Measurement Covariance Matrix + float gps_pos_covar = 1 * RTK + 5 * (1 - RTK); + float gps_vel_covar = gps_pos_covar; + Vector6 R_vec; + R_vec << gps_pos_covar * gps_pos_covar * Vector3::Ones(), gps_vel_covar * gps_vel_covar * Vector3::Ones(); + Matrix6_6 R = R_vec.asDiagonal(); + + // A priori covariance and Kalman gain + Matrix12_6 L = P * H.transpose() * (H * P * H.transpose() + R).inverse(); + + // Predicted measurements + Vector6 z_hat; + z_hat << x_est.segment<3>(4), x_est.segment<3>(7); + + // Kalman Gain Weighting based on predicted acceleration + Matrix12_12 ILH = (Matrix12_12::Identity() - L * H); + P = ILH * P * ILH.transpose() + L * R * L.transpose(); + Vector6 residual = (z.segment<6>(9) - z_hat); + Vector12 inn = L * residual; + dx = dx + inn; + } + + if (FILTER_MODE == 1 || GND == 1) { + // Update full-state estimates + Vector4 dq; + dq << 1, dx.segment<3>(0) / 2; + dq.normalize(); + + Vector4 q_nom = HamiltonianProd(q) * dq; + q_nom.normalize(); + x_est.segment<4>(0) = q_nom; + x_est.segment<9>(4) = x_est.segment<9>(4) + dx.segment<9>(3); + } + x_est.segment<6>(4) = x_est.segment<6>(4) * (1 - GND); + return x_est; +} diff --git a/cpp/lib/matlab_funcs/matlab_funcs.hpp b/cpp/lib/matlab_funcs/matlab_funcs.hpp new file mode 100644 index 0000000..4cc514a --- /dev/null +++ b/cpp/lib/matlab_funcs/matlab_funcs.hpp @@ -0,0 +1,33 @@ +#include + +using Vector3 = Eigen::Matrix; +using Vector4 = Eigen::Matrix; +using Vector6 = Eigen::Matrix; +using Vector12 = Eigen::Matrix; +using Vector13 = Eigen::Matrix; +using Vector15 = Eigen::Matrix; +using Matrix3_3 = Eigen::Matrix; +using Matrix4_4 = Eigen::Matrix; +using Matrix4_12 = Eigen::Matrix; +using Matrix6_6 = Eigen::Matrix; +using Matrix6_12 = Eigen::Matrix; +using Matrix12_6 = Eigen::Matrix; +using Matrix12_12 = Eigen::Matrix; + +typedef struct { + float g; + Vector3 mag; + Matrix12_12 Q; + Matrix6_6 R; +} t_constantsASTRA; + +Matrix3_3 zetaCross(Vector3 zeta); +Matrix3_3 quatRot(Vector4 q); +Matrix12_12 StateTransitionMat(Vector3 accel, Vector3 gyro, Matrix3_3 R_b2i); +Matrix4_4 HamiltonianProd(Vector4 q); +Matrix12_12 matrixExpPade6(Matrix12_12 A); +Vector13 EstimateStateFCN(Vector13 x_est, t_constantsASTRA constantsASTRA, Vector15 z, float dT, float GND, Matrix12_12 &P, bool new_imu_packet, bool new_gps_packet); +Vector3 EMA_Gyros(Vector15 Y, Vector3 &lastEMA); +Vector15 StateAUG(Vector13 XKF, Vector3 G); +Vector12 ref_generator3(Vector15 full_x, Vector3 TargetPos); +Vector4 output_clamp(Vector4 U); diff --git a/cpp/lib/matlab_funcs/matlab_helpers.cpp b/cpp/lib/matlab_funcs/matlab_helpers.cpp new file mode 100644 index 0000000..e1dd1c3 --- /dev/null +++ b/cpp/lib/matlab_funcs/matlab_helpers.cpp @@ -0,0 +1,110 @@ +#include "matlab_funcs.hpp" + +Matrix3_3 zetaCross(Vector3 zeta) { + Matrix3_3 zc; + zc << 0, -zeta[2], zeta[1], zeta[2], 0, -zeta[0], -zeta[1], zeta[0], 0; + return zc; +} + +Matrix3_3 quatRot(Vector4 q) { + Matrix3_3 CIB; + CIB << 1 - 2 * (q[2] * q[2] + q[3] * q[3]), 2 * (q[1] * q[2] + q[0] * q[3]), 2 * (q[1] * q[3] - q[0] * q[2]), 2 * (q[1] * q[2] - q[0] * q[3]), 1 - 2 * (q[1] * q[1] + q[3] * q[3]), + 2 * (q[2] * q[3] + q[0] * q[1]), 2 * (q[1] * q[3] + q[0] * q[2]), 2 * (q[2] * q[3] - q[0] * q[1]), 1 - 2 * (q[1] * q[1] + q[2] * q[2]); + return CIB; +} + +Matrix4_4 HamiltonianProd(Vector4 q) { + Matrix4_4 M; + M << q(0), -q(1), -q(2), -q(3), q(1), q(0), -q(3), q(2), q(2), q(3), q(0), -q(1), q(3), -q(2), q(1), q(0); + return M; +} + +Matrix12_12 StateTransitionMat(Vector3 accel, Vector3 gyro, Matrix3_3 R_b2i) { + // Remove angular rates from error-state. Make safety copies of all relevant + // files into Archive + Matrix12_12 F = Matrix12_12::Zero(); + F.block<3, 3>(0, 0) = -zetaCross(gyro); + F.block<3, 3>(0, 9) = -Matrix3_3::Identity(); + F.block<3, 3>(3, 6) = Matrix3_3::Identity(); + F.block<3, 3>(6, 0) = -R_b2i * zetaCross(accel); + + return F; +} + +Matrix12_12 matrixExpPade6(Matrix12_12 A) { + using Scalar = typename Matrix12_12::Scalar; + const Scalar b[] = {1.0, 0.5, 0.12, 0.0183333333333, 0.00199275362319, 0.000160590438368, 0.00000939085239292}; + + Matrix12_12 A2 = A * A; + Matrix12_12 A4 = A2 * A2; + Matrix12_12 A6 = A4 * A2; + + Matrix12_12 U = A * (b[1] * Matrix12_12::Identity(A.rows(), A.cols()) + b[3] * A2 + b[5] * A4); + U += A6 * b[6]; + + Matrix12_12 V = b[0] * Matrix12_12::Identity(A.rows(), A.cols()) + b[2] * A2 + b[4] * A4 + b[6] * A6; + + Matrix12_12 numer = V + U; + Matrix12_12 denom = V - U; + + return denom.inverse() * numer; +} + +// Basic Exponential Moving Average Implementation to pre - process % measurements. +Vector3 ExpMovingAvg(Vector3 Input, Vector3 Last, float Alpha) { + // Filter difference equation + return Alpha * Input + (1 - Alpha) * Last; +} + +Vector3 EMA_Gyros(Vector15 Y, Vector3 &lastEMA) { + + // Extract Gyros + Vector3 gyros = Y.segment<3>(3); + + // Exponential Moving Avg Step + Vector3 EMA_G = ExpMovingAvg(gyros, lastEMA, 0.6); + lastEMA = EMA_G; + return EMA_G; +} + +Vector15 StateAUG(Vector13 XKF, Vector3 G) { + // Change Filter State to Controls State + Vector15 X; + X << XKF.segment<3>(1), XKF.segment<3>(4), XKF.segment<3>(7), G - XKF.segment<3>(10), XKF.segment<3>(10); + return X; +} + +Vector12 ref_generator3(Vector15 full_x, Vector3 TargetPos) { + Vector12 x = full_x.segment<12>(0); + Vector3 PosError = TargetPos - x.segment<3>(3); + Vector3 PosGain; + PosGain << 0.55, 0.55, 0.75; + Vector3 TargetVel = PosGain.cwiseProduct(PosError); + + float MaxAscentSpeed = 4; // m/s + float MaxDescentSpeed = -4; // m/s + float MaxLatSpeed = 1; // m/s + + Vector3 MaxVel; + MaxVel << MaxLatSpeed, MaxLatSpeed, MaxAscentSpeed; + Vector3 MinVel; + MinVel << -MaxLatSpeed, -MaxLatSpeed, MaxDescentSpeed; + + TargetVel = TargetVel.cwiseMin(MaxVel).cwiseMax(MinVel); + + Vector12 TargetVec; + TargetVec << Vector3::Zero(), TargetPos, TargetVel, Vector3::Zero(); + Vector12 ref = x - TargetVec; + return ref; +} + +Vector4 output_clamp(Vector4 U) { + float thrust_max = 1.5 * 9.8; // N + Vector4 maxU; + maxU << M_PI / 24, M_PI / 24, thrust_max, thrust_max * 10; + Vector4 minU; + minU << -M_PI / 24, -M_PI / 24, thrust_max * 0.4, -thrust_max * 10; + + U = U.cwiseMin(maxU).cwiseMax(minU); + return U; +} diff --git a/cpp/pio_scripts/wait_before_monitor.py b/cpp/pio_scripts/wait_before_monitor.py new file mode 100644 index 0000000..7436fe6 --- /dev/null +++ b/cpp/pio_scripts/wait_before_monitor.py @@ -0,0 +1,9 @@ +import time + +Import("env") + +def after_upload(source, target, env): + print("Waiting 3 seconds for portenta to restart...") + time.sleep(3) + +env.AddPostAction("upload", after_upload) \ No newline at end of file diff --git a/cpp/platformio.ini b/cpp/platformio.ini new file mode 100644 index 0000000..cc3c008 --- /dev/null +++ b/cpp/platformio.ini @@ -0,0 +1,37 @@ +; PlatformIO Project Configuration File +; +; Build options: build flags, source filter +; Upload options: custom upload port, speed and extra flags +; Library options: dependencies, extra library storages +; Advanced options: extra scripting +; +; Please visit documentation for the other options and examples +; https://docs.platformio.org/page/projectconf.html + +[env:portenta_h7_m7] +platform = ststm32 +board = portenta_h7_m7 +framework = arduino +extra_scripts = pio_scripts/wait_before_monitor.py +lib_ldf_mode = chain+ +monitor_speed=115200 +monitor_echo = yes +monitor_filters = + send_on_enter + log2file +lib_deps = + hideakitai/ArduinoEigen@^0.3.0 + +build_unflags = + -mfloat-abi=soft + ;-mfpu=fpv5-sp-d16 + ;-mfpu=fpv4-sp-d16 + ;-O0 + ;-O1 + ;-O2 + -Os + +build_flags = + ;-mfpu=fpv5-d16 + -mfloat-abi=hard ; use hardware, not software FP + -O3 diff --git a/cpp/src/main.cpp b/cpp/src/main.cpp new file mode 100644 index 0000000..4a26fce --- /dev/null +++ b/cpp/src/main.cpp @@ -0,0 +1,94 @@ +#include +#include "matlab_funcs.hpp" +#include "sample_data.hpp" //contains Z, TargetPos, GND, and expected controller output + +void setup() { + extern uint8_t SetSysClock_PLL_HSE(uint8_t bypass, bool lowspeed); + SetSysClock_PLL_HSE(1, (bool)false); + + delay(5000); + Serial.begin(115200); + Serial.println("Connected - starting astra sim"); + + t_constantsASTRA constantsASTRA; + constantsASTRA.g = 9.8100; + constantsASTRA.mag << 0.8660, 0, -0.5000; + constantsASTRA.Q << 1.000004e-05, 0, 0, 0, 0, 0, 0, 0, 0, -6.250000e-10, 0, 0, 0, 1.000004e-05, 0, 0, 0, 0, 0, 0, 0, 0, -6.250000e-10, 0, 0, 0, 1.000004e-05, 0, 0, 0, 0, 0, 0, 0, 0, -6.250000e-10, + 0, 0, 0, 6.250000e-07, 0, 0, 2.500000e-04, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6.250000e-07, 0, 0, 2.500000e-04, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6.250000e-07, 0, 0, 2.500000e-04, 0, 0, 0, 0, 0, 0, + 2.083333e-09, 0, 0, 6.250000e-07, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.083333e-09, 0, 0, 6.250000e-07, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.083333e-09, 0, 0, 6.250000e-07, 0, 0, 0, -6.250000e-10, 0, 0, 0, 0, 0, + 0, 0, 0, 1.250000e-07, 0, 0, 0, -6.250000e-10, 0, 0, 0, 0, 0, 0, 0, 0, 1.250000e-07, 0, 0, 0, -6.250000e-10, 0, 0, 0, 0, 0, 0, 0, 0, 1.250000e-07; + constantsASTRA.R = Matrix6_6::Zero(); + constantsASTRA.R.block<3, 3>(0, 0) = Matrix3_3::Identity() * 0.1500; + constantsASTRA.R.block<3, 3>(3, 3) = Matrix3_3::Identity() * 0.1000; + + Matrix4_12 K; + K << 1.221739e+00, 2.656070e-16, 1.605792e-14, 5.754042e-14, 1.138010e-15, 1.240890e+00, -6.956013e-14, 1.577365e-14, -3.842269e-15, -5.030489e-16, -1.047017e-14, 4.748973e+00, -1.776182e-18, + 5.304654e-05, -5.286303e-17, 1.334778e-18, -5.304654e-05, -1.777516e-19, -1.077854e-17, 9.473637e-18, -4.322925e-18, 7.801908e-19, 4.559014e-03, 6.725418e-19, 2.964490e-17, 9.648303e-02, + -1.028685e-15, 2.688724e-15, -9.648249e-02, 6.718166e-17, -4.583739e-15, -7.161693e-15, -1.793211e-17, -9.218939e-18, 2.281506e+00, 1.992377e-17, 1.971226e-01, 1.725272e-16, 3.380334e-16, + 5.853777e-15, 1.182562e-16, 2.033502e-01, -1.370787e-14, -5.543101e-16, -3.093029e-16, -4.973344e-17, -4.785263e-16, 5.364513e-01; + + long long start_t = millis(); + Matrix12_12 P = 1 * Matrix12_12::Identity(); + Vector15 lastZ = Vector15::Zero(); + Vector13 x_est = Vector13::Zero(); + x_est[0] = 1; + Vector3 lastEMA = Vector3::Zero(); + + // Loop over all timesteps + for (int idx = 0; idx < MAX_IDX; idx++) { + + // Construct Eigen vectors directly from arrays + Vector15 z(z_arr[idx]); + float dT_val = 0.001; + float GND_val = GND_arr[idx]; + Vector3 TargetPos(target_pos_arr[idx]); + + Vector15 temp_z = z; + temp_z.segment<3>(3) = temp_z.segment<3>(3) - x_est.segment<3>(10); + bool new_imu_packet = (lastZ.segment<9>(0) - temp_z.segment<9>(0)).sum() != 0; + bool new_gps_packet = (lastZ.segment<6>(9) - temp_z.segment<6>(9)).sum() != 0; + + x_est = EstimateStateFCN(x_est, constantsASTRA, z, dT_val, GND_val, P, new_imu_packet, new_gps_packet); + Vector3 EMA_G = EMA_Gyros(z, lastEMA); + Vector15 X = StateAUG(x_est, EMA_G); + Vector12 error = ref_generator3(X, TargetPos); + Vector4 raw_co = -K * error; + raw_co = output_clamp(raw_co); + + lastZ = z; + + // comparison with expected output + for (int i = 0; i < 4; i++) { + if (abs(raw_co(i) - exp_controller_output[idx][i]) > 0.0002) { + Serial.print("Mismatch at idx: "); + Serial.print(idx); + Serial.print(" element: "); + Serial.print(i); + Serial.print(" expected controller output: "); + Serial.print(exp_controller_output[idx][i], 6); + Serial.print(" got: "); + Serial.println(raw_co(i), 6); + } + } + } + + long long end_t = millis(); + + Serial.print("Finished astra sim in "); + Serial.print(end_t - start_t); + Serial.println(" ms."); + Serial.println(SystemCoreClock); + Serial.println(HAL_RCC_GetHCLKFreq()); // Expect ~480000000 Hz + if (HAL_GetCurrentCPUID() == CM7_CPUID) { + Serial.println("Running on M7 core"); + } else { + Serial.println("Running on M4 core"); + } +} + +void loop() { + for (;;) { + Serial.println("Done!"); + delay(100000); + } +} diff --git a/cpp/src/system_clock_override.cpp b/cpp/src/system_clock_override.cpp new file mode 100644 index 0000000..e0d31f1 --- /dev/null +++ b/cpp/src/system_clock_override.cpp @@ -0,0 +1,324 @@ +/* + ****************************************************************************** + * @attention + * + *

© Copyright (c) 2019 STMicroelectronics. + *

© Copyright (c) 2020 Arduino SA. + * All rights reserved.

+ * + * SPDX-License-Identifier: BSD-3-Clause + * + * This software component is licensed by ST under BSD 3-Clause license, + * the "License"; You may not use this file except in compliance with the + * License. You may obtain a copy of the License at: + * opensource.org/licenses/BSD-3-Clause + * + ****************************************************************************** +*/ + +/** + * This file configures the system clock as follows: + *-------------------------------------------------------------------- + * System clock source | 1- USE_PLL_HSE_EXTC (external 8 MHz clock) + * | 2- USE_PLL_HSE_XTAL (external 8 MHz xtal) + * | 3- USE_PLL_HSI (internal 64 MHz clock) + *-------------------------------------------------------------------- + * SYSCLK(MHz) | 480 + * AHBCLK (MHz) | 240 + * APB1CLK (MHz) | 120 + * APB2CLK (MHz) | 120 + * APB3CLK (MHz) | 120 + * APB4CLK (MHz) | 120 + * USB capable (48 MHz) | YES + *-------------------------------------------------------------------- +**/ + +#include "stm32h7xx.h" +#include "nvic_addr.h" +#include "mbed_error.h" + +/*!< Uncomment the following line if you need to relocate your vector Table in + Internal SRAM. */ + /* #define VECT_TAB_SRAM */ +#define VECT_TAB_OFFSET 0x00 /*!< Vector Table base offset field. + This value must be a multiple of 0x200. */ + + // clock source is selected with CLOCK_SOURCE in json config +#define USE_PLL_HSE_EXTC 0x8 // Use external clock (ST Link MCO) +#define USE_PLL_HSE_XTAL 0x4 // Use external xtal (X3 on board - not provided by default) +#define USE_PLL_HSI 0x2 // Use HSI internal clock + +#define CLOCK_SOURCE USE_PLL_HSE_XTAL +#define DEVICE_USBDEVICE 1 + +#if ( ((CLOCK_SOURCE) & USE_PLL_HSE_XTAL) || ((CLOCK_SOURCE) & USE_PLL_HSE_EXTC) ) +uint8_t SetSysClock_PLL_HSE(uint8_t bypass, bool lowspeed); +#endif /* ((CLOCK_SOURCE) & USE_PLL_HSE_XTAL) || ((CLOCK_SOURCE) & USE_PLL_HSE_EXTC) */ + +#if ((CLOCK_SOURCE) & USE_PLL_HSI) +uint8_t SetSysClock_PLL_HSI(void); +#endif /* ((CLOCK_SOURCE) & USE_PLL_HSI) */ + +/** + * @brief Configures the System clock source, PLL Multiplier and Divider factors, + * AHB/APBx prescalers and Flash settings + * @note This function should be called only once the RCC clock configuration + * is reset to the default reset state (done in SystemInit() function). + * @param None + * @retval None + */ + +#if 0 +void SetSysClock(void) +{ + + bool lowspeed = false; +#if defined(LOWSPEED) && (LOWSPEED == 1) + lowspeed = true; +#endif + +#if ((CLOCK_SOURCE) & USE_PLL_HSE_EXTC) + /* 1- Try to start with HSE and external clock (MCO from STLink PCB part) */ + if (SetSysClock_PLL_HSE(1, lowspeed) == 0) +#endif + { +#if ((CLOCK_SOURCE) & USE_PLL_HSE_XTAL) + /* 2- If fail try to start with HSE and external xtal */ + if (SetSysClock_PLL_HSE(0, lowspeed) == 0) +#endif + { +#if ((CLOCK_SOURCE) & USE_PLL_HSI) + /* 3- If fail start with HSI clock */ + if (SetSysClock_PLL_HSI() == 0) +#endif + { + error("SetSysClock failed\n"); + } + } + } +} + +static const uint32_t _keep; +bool isBootloader() +{ + return ((uint32_t)&_keep < 0x8040000); +} + +bool isBetaBoard() +{ + uint8_t* bootloader_data = (uint8_t*)(0x801F000); + if (bootloader_data[0] != 0xA0 || bootloader_data[1] < 14) { + return true; + } + else { + return (bootloader_data[10] == 27); + } +} +#endif + +#if ( ((CLOCK_SOURCE) & USE_PLL_HSE_XTAL) || ((CLOCK_SOURCE) & USE_PLL_HSE_EXTC) ) +/******************************************************************************/ +/* PLL (clocked by HSE) used as System clock source */ +/******************************************************************************/ +uint8_t SetSysClock_PLL_HSE(uint8_t bypass, bool lowspeed) +{ + RCC_ClkInitTypeDef RCC_ClkInitStruct = { 0 }; + RCC_OscInitTypeDef RCC_OscInitStruct = { 0 }; + RCC_PeriphCLKInitTypeDef PeriphClkInitStruct = { 0 }; + + // If we are reconfiguring the clock, select CSI as system clock source to allow modification of the PLL configuration + if (__HAL_RCC_GET_PLL_OSCSOURCE() == RCC_PLLSOURCE_HSE) { + RCC_ClkInitStruct.ClockType = RCC_CLOCKTYPE_SYSCLK; + RCC_ClkInitStruct.SYSCLKSource = RCC_SYSCLKSOURCE_CSI; + if (HAL_RCC_ClockConfig(&RCC_ClkInitStruct, FLASH_LATENCY_1) != HAL_OK) { + return 0; + } + } + + /* Enable oscillator pin */ + __HAL_RCC_GPIOH_CLK_ENABLE(); + GPIO_InitTypeDef gpio_osc_init_structure; + gpio_osc_init_structure.Pin = GPIO_PIN_1; + gpio_osc_init_structure.Mode = GPIO_MODE_OUTPUT_PP; + gpio_osc_init_structure.Pull = GPIO_PULLUP; + gpio_osc_init_structure.Speed = GPIO_SPEED_FREQ_LOW; + HAL_GPIO_Init(GPIOH, &gpio_osc_init_structure); + HAL_Delay(10); + HAL_GPIO_WritePin(GPIOH, GPIO_PIN_1, GPIO_PIN_SET); + + /* Supply configuration update enable */ +#if HSE_VALUE == 27000000 + HAL_PWREx_ConfigSupply(PWR_SMPS_1V8_SUPPLIES_EXT); +#else + HAL_PWREx_ConfigSupply(PWR_SMPS_1V8_SUPPLIES_LDO); +#endif + /* Configure the main internal regulator output voltage */ + + if (lowspeed) { + __HAL_PWR_VOLTAGESCALING_CONFIG(PWR_REGULATOR_VOLTAGE_SCALE3); + } + else { + __HAL_PWR_VOLTAGESCALING_CONFIG(PWR_REGULATOR_VOLTAGE_SCALE1); + } + + while (!__HAL_PWR_GET_FLAG(PWR_FLAG_VOSRDY)) {} + + /* Enable HSE Oscillator and activate PLL with HSE as source */ + RCC_OscInitStruct.OscillatorType = RCC_OSCILLATORTYPE_HSE | RCC_OSCILLATORTYPE_HSI48; + if (bypass) { + RCC_OscInitStruct.HSEState = RCC_HSE_BYPASS; + } + else { + RCC_OscInitStruct.HSEState = RCC_HSE_ON; + } + RCC_OscInitStruct.HSI48State = RCC_HSI48_ON; + RCC_OscInitStruct.PLL.PLLState = RCC_PLL_ON; + RCC_OscInitStruct.PLL.PLLSource = RCC_PLLSOURCE_HSE; + RCC_OscInitStruct.PLL.PLLM = 5; + if (lowspeed) { + RCC_OscInitStruct.PLL.PLLN = 40; + } + else { + // 400 MHz (25 / 5 * 160 / 2 = 400) + // 480 MHz (25 / 5 * 192 / 2 = 400) + RCC_OscInitStruct.PLL.PLLN = 192; //was 160; + } + +#if HSE_VALUE == 27000000 + RCC_OscInitStruct.PLL.PLLM = 9; + if (lowspeed) { + RCC_OscInitStruct.PLL.PLLN = 80; + } + else { + RCC_OscInitStruct.PLL.PLLN = 300; + } +#endif + + RCC_OscInitStruct.PLL.PLLFRACN = 0; + RCC_OscInitStruct.PLL.PLLP = 2; + RCC_OscInitStruct.PLL.PLLR = 2; + RCC_OscInitStruct.PLL.PLLQ = 10; + RCC_OscInitStruct.PLL.PLLVCOSEL = RCC_PLL1VCOWIDE; + RCC_OscInitStruct.PLL.PLLRGE = RCC_PLL1VCIRANGE_2; + if (HAL_RCC_OscConfig(&RCC_OscInitStruct) != HAL_OK) { + return 0; // FAIL + } + + /* Select PLL as system clock source and configure bus clocks dividers */ + RCC_ClkInitStruct.ClockType = RCC_CLOCKTYPE_SYSCLK | RCC_CLOCKTYPE_HCLK | + RCC_CLOCKTYPE_PCLK1 | RCC_CLOCKTYPE_PCLK2 | + RCC_CLOCKTYPE_D1PCLK1 | RCC_CLOCKTYPE_D3PCLK1; + RCC_ClkInitStruct.SYSCLKSource = RCC_SYSCLKSOURCE_PLLCLK; + RCC_ClkInitStruct.SYSCLKDivider = RCC_SYSCLK_DIV1; + RCC_ClkInitStruct.AHBCLKDivider = RCC_HCLK_DIV2; + RCC_ClkInitStruct.APB1CLKDivider = RCC_APB1_DIV2; + RCC_ClkInitStruct.APB2CLKDivider = RCC_APB2_DIV2; + RCC_ClkInitStruct.APB3CLKDivider = RCC_APB3_DIV2; + RCC_ClkInitStruct.APB4CLKDivider = RCC_APB4_DIV2; + if (lowspeed) { + if (HAL_RCC_ClockConfig(&RCC_ClkInitStruct, FLASH_LATENCY_0) != HAL_OK) { + return 0; // FAIL + } + } + else { + if (HAL_RCC_ClockConfig(&RCC_ClkInitStruct, FLASH_LATENCY_4) != HAL_OK) { + return 0; // FAIL + } + } + + // HAL_RCCEx_EnableBootCore(RCC_BOOT_C2); + +#if DEVICE_USBDEVICE + PeriphClkInitStruct.PeriphClockSelection = RCC_PERIPHCLK_USB; + PeriphClkInitStruct.UsbClockSelection = RCC_USBCLKSOURCE_HSI48; + if (HAL_RCCEx_PeriphCLKConfig(&PeriphClkInitStruct) != HAL_OK) { + return 0; // FAIL + } + + HAL_PWREx_EnableUSBVoltageDetector(); +#endif /* DEVICE_USBDEVICE */ + + __HAL_RCC_CSI_ENABLE(); + + __HAL_RCC_SYSCFG_CLK_ENABLE(); + + HAL_EnableCompensationCell(); + + return 1; // OK +} +#endif /* ((CLOCK_SOURCE) & USE_PLL_HSE_XTAL) || ((CLOCK_SOURCE) & USE_PLL_HSE_EXTC) */ + +#if ((CLOCK_SOURCE) & USE_PLL_HSI) +/******************************************************************************/ +/* PLL (clocked by HSI) used as System clock source */ +/******************************************************************************/ +uint8_t SetSysClock_PLL_HSI(void) +{ + RCC_ClkInitTypeDef RCC_ClkInitStruct; + RCC_OscInitTypeDef RCC_OscInitStruct; + + /* Supply configuration update enable */ +#if HSE_VALUE == 27000000 + HAL_PWREx_ConfigSupply(PWR_SMPS_1V8_SUPPLIES_EXT); +#else + HAL_PWREx_ConfigSupply(PWR_SMPS_1V8_SUPPLIES_LDO); +#endif + + /* The voltage scaling allows optimizing the power consumption when the device is + clocked below the maximum system frequency, to update the voltage scaling value + regarding system frequency refer to product datasheet. */ + __HAL_PWR_VOLTAGESCALING_CONFIG(PWR_REGULATOR_VOLTAGE_SCALE1); + while (!__HAL_PWR_GET_FLAG(PWR_FLAG_VOSRDY)) {} + + // Enable HSI oscillator and activate PLL with HSI as source + RCC_OscInitStruct.OscillatorType = RCC_OSCILLATORTYPE_HSI | RCC_OSCILLATORTYPE_HSE | RCC_OSCILLATORTYPE_CSI; + RCC_OscInitStruct.HSIState = RCC_HSI_ON; + RCC_OscInitStruct.HSEState = RCC_HSE_OFF; + RCC_OscInitStruct.CSIState = RCC_CSI_OFF; + RCC_OscInitStruct.PLL.PLLState = RCC_PLL_ON; + RCC_OscInitStruct.PLL.PLLSource = RCC_PLLSOURCE_HSI; + RCC_OscInitStruct.PLL.PLLM = 8; + RCC_OscInitStruct.PLL.PLLN = 100; + RCC_OscInitStruct.PLL.PLLP = 2; + RCC_OscInitStruct.PLL.PLLQ = 10; + RCC_OscInitStruct.PLL.PLLR = 2; + RCC_OscInitStruct.PLL.PLLVCOSEL = RCC_PLL1VCOWIDE; + RCC_OscInitStruct.PLL.PLLRGE = RCC_PLL1VCIRANGE_3; + RCC_OscInitStruct.HSICalibrationValue = RCC_HSICALIBRATION_DEFAULT; + if (HAL_RCC_OscConfig(&RCC_OscInitStruct) != HAL_OK) { + return 0; // FAIL + } + + /* Select PLL as system clock source and configure bus clocks dividers */ + RCC_ClkInitStruct.ClockType = (RCC_CLOCKTYPE_SYSCLK | RCC_CLOCKTYPE_HCLK | RCC_CLOCKTYPE_D1PCLK1 | RCC_CLOCKTYPE_PCLK1 | \ + RCC_CLOCKTYPE_PCLK2 | RCC_CLOCKTYPE_D3PCLK1); + RCC_ClkInitStruct.SYSCLKSource = RCC_SYSCLKSOURCE_PLLCLK; + RCC_ClkInitStruct.SYSCLKDivider = RCC_SYSCLK_DIV1; + RCC_ClkInitStruct.AHBCLKDivider = RCC_HCLK_DIV2; + RCC_ClkInitStruct.APB3CLKDivider = RCC_APB3_DIV2; + RCC_ClkInitStruct.APB1CLKDivider = RCC_APB1_DIV2; + RCC_ClkInitStruct.APB2CLKDivider = RCC_APB2_DIV2; + RCC_ClkInitStruct.APB4CLKDivider = RCC_APB4_DIV2; + if (HAL_RCC_ClockConfig(&RCC_ClkInitStruct, FLASH_LATENCY_4) != HAL_OK) { + return 0; // FAIL + } + + return 1; // OK +} +#endif /* ((CLOCK_SOURCE) & USE_PLL_HSI) */ + +#if 0 +#if defined (CORE_CM4) +void HSEM2_IRQHandler(void) +{ + HAL_HSEM_IRQHandler(); +} +#endif + +#if defined (CORE_CM7) +void HSEM1_IRQHandler(void) +{ + HAL_HSEM_IRQHandler(); +} +#endif +#endif diff --git a/cpp/vars.json b/cpp/vars.json new file mode 100644 index 0000000..6c46944 --- /dev/null +++ b/cpp/vars.json @@ -0,0 +1,31 @@ +{ + "x_est": "13x1", + "constantsASTRA": "struct", + "z": "15x1", + "covar_vec": "3x1", + "dT": "1x1", + "Q": "12x12", + "GND": "1x1", + "dx": "12x1", + "q0": "1x1", + "q": "4x1", + "M": "4x4", + "qdot": "4x1", + "q_123_dot": "3x1", + "R_b2i": "3x3", + "P": "12x12", + "F": "12x12", + "Phi": "12x12", + "H": "6x12", + "w": "1x1", + "R": "6x6", + "L": "12x6", + "z_hat": "6x1", + "ILH": "12x12", + "residual": "6x1", + "inn": "12x1", + "dq": "4x1", + "q_nom": "4x1", + "gps_pos_covar": "1x1", + "gps_vel_covar": "1x1" +} \ No newline at end of file diff --git a/export_constants.m b/export_constants.m new file mode 100644 index 0000000..72d0f4e --- /dev/null +++ b/export_constants.m @@ -0,0 +1,29 @@ +fprintf("constantsASTRA.Q << ") +for i = 1:1:143 + if constantsASTRA.Q(i) == 0 + fprintf("0, "); + else + fprintf("%.6e, ", constantsASTRA.Q(i)); + end +end + +if constantsASTRA.Q(144) == 0 + fprintf("0;\n"); +else + fprintf("%.6e;\n", constantsASTRA.Q(144)); +end + +fprintf("K << ") +for i = 1:1:47 + if K(i) == 0 + fprintf("0, "); + else + fprintf("%.6e, ", K(i)); + end +end + +if K(48) == 0 + fprintf("0;\n"); +else + fprintf("%.6e;\n", K(48)); +end diff --git a/export_data.m b/export_data.m new file mode 100644 index 0000000..c4c5509 --- /dev/null +++ b/export_data.m @@ -0,0 +1,50 @@ +data = load("C:\Users\rober\Purdue\Clubs\PSP-AC-GNC\model2\sim_run.mat"); +MAX = 10000; + +z_arr = data.data{5}.Values.Data; +GND_arr = data.data{3}.Values.Data; +x_est_arr = data.data{1}.Values.Data; +clear EstimateStateFCN + +fprintf("#define MAX_IDX %d\n\n", MAX/10); + +fprintf("double z_arr[MAX_IDX][15] = {\n") +for i = 1:10:MAX + fprintf(" {") + for col = 1:1:14 + fprintf("%.8f, ", z_arr(col,i)); + end + fprintf("%.8f", z_arr(15,i)); + fprintf("},\n") +end +fprintf("};\n"); + +fprintf("double GND_arr[MAX_IDX] = {\n") +for i = 1:10:MAX + fprintf("%.8f,\n", GND_arr(i)); +end +fprintf("};\n"); + +fprintf("double x_est_arr[MAX_IDX][13] = {\n") +for i = 1:10:MAX + fprintf(" {") + for col = 1:1:12 + fprintf("%.8f, ", x_est_arr(i,col)); + end + fprintf("%.8f", x_est_arr(i,13)); + fprintf("},\n") +end +fprintf("};\n"); + +fprintf("double exp_x_est_arr[MAX_IDX][13] = {\n") +for i = 1:10:MAX + out = EstimateStateFCN(x_est_arr(i,:)', constantsASTRA, z_arr(:,i), 0.001, GND_arr(i)); + + fprintf(" {") + for col = 1:1:12 + fprintf("%.8f, ", out(col)); + end + fprintf("%.8f", out(13)); + fprintf("},\n") +end +fprintf("};\n"); \ No newline at end of file diff --git a/filter_test.m b/filter_test.m new file mode 100644 index 0000000..13ed742 --- /dev/null +++ b/filter_test.m @@ -0,0 +1,15 @@ +%LoadSimulation; +data = load("C:\Users\rober\Purdue\Clubs\PSP-AC-GNC\model2\sim_run.mat"); +z_arr = data.data{5}.Values.Data; +GND_arr = data.data{3}.Values.Data; +exp_x_est_arr = data.data{4}.Values.Data; +x_est_arr = data.data{1}.Values.Data; + +clear EstimateStateFCN + + +for i = 1:1:69 + fprintf("Run %d\n", i); + out = EstimateStateFCN(x_est_arr(i,:)', constantsASTRA, z_arr(:,i), 0.001, GND_arr(i)); + t = out(1:13)' +end \ No newline at end of file diff --git a/genSym.slx b/genSym.slx deleted file mode 100644 index 7a8df98..0000000 Binary files a/genSym.slx and /dev/null differ diff --git a/run_sim.m b/run_sim.m deleted file mode 100644 index d2bde76..0000000 --- a/run_sim.m +++ /dev/null @@ -1,24 +0,0 @@ -% This is the main runtime function - -% Allows MATLAB to use functions across local file infrastructure -addpath('./params/'); -addpath('./sim/'); -addpath('./trajectory/'); - -open_system('genSym'); - -%% Constants -constants = constructConstants; % Creates constant structure - -%% Plant -[x, u, x_dot] = EoMGenerator(constants); - -[linSys, disLinSys, plantFn, outFn] = dynamics(x, u, x_dot, constants); - -%% Sensor Modeling - - -%% Estimator/Observer - - -%% Controller \ No newline at end of file diff --git a/sim/EOMS.mlx b/sim/EOMS.mlx deleted file mode 100644 index b856e7c..0000000 Binary files a/sim/EOMS.mlx and /dev/null differ diff --git a/sim/EoMGenerator.mlx b/sim/EoMGenerator.mlx deleted file mode 100644 index 7d85e29..0000000 Binary files a/sim/EoMGenerator.mlx and /dev/null differ diff --git a/sim/clib/.empty b/sim/clib/.empty deleted file mode 100644 index e69de29..0000000 diff --git a/sim/dynamics.asv b/sim/dynamics.asv deleted file mode 100644 index 71a6150..0000000 --- a/sim/dynamics.asv +++ /dev/null @@ -1,60 +0,0 @@ -% Converts the EoMs into the Dynamics -% The dynamics function converts the manually derived EoM into the linear -% and discretized versions for other functions to use. This function also -% generates the nonlinear plant functions for x_dot & y that can be used by -% other functions and as simulink blocks -% -% Outputs: -% lin - structure containing state space matrices (A,B,C,D) -% linDis - structure containing discrete state space matrices -% plantState - nonlinear plant state function -% plantOutput - nonlinear plant output function -% -% [NOT IMPLEMENTED YET! Need more info on ASTRA] -% w - not included in linearization -% y - currently uses y = eye(n)*x - -function [lin, linDis, plantState, plantOutput] = dynamics(x, u, x_dot, constants) - % Debateable - % linearization points - delx = [0; 0; 0; 0; 0; 0; 1; 0; 0; 0; 0; 0; 0]; - delu = [0; 0; 0; 0]; - - % Linear relations - % Takes the jacobian of the state dyanmics and output and subsitutes in - % the values at our desired point of linearization. - % NOTE: replace "[x; u], [delx; delu]" with "[x; u; w], [delx; delu; - % delw]" when disturbance is added - lin.A = eval(subs(jacobian(x_dot, x), [x; u], [delx; delu])); % Jacobian of f with respect to x - lin.B = eval(subs(jacobian(x_dot, u), [x; u], [delx; delu])); % Jacobian of f with respect to u - % lin.C = eval(subs(jacobian(y, x), [x; u], [delx; delu])); % Jacobian of g with respect to x - % lin.D = eval(subs(jacobian(y, u), [x; u], [delx; delu])); % Jacobian of g with respect to u - - - % Until Output is added we have modeled it as being able to directly - % observe the states - lin.C = eye(size(lin.A)); - lin.D = zeros(size(lin.B)); - y = x; - - - % Discrete Linear - % Creates a system object using continuous matrices and converts them to - % discrete form using the c2d function with time step T - sysLin = ss(lin.A, lin.B, lin.C, lin.D); - sysDis = c2d(sysLin, constants.T); - - linDis.Ad = sysDis.A; - linDis.Bd = sysDis.B; - linDis.Cd = sysDis.C; - linDis.Dd = sysDis.D; - - % Output linear and discrete functions for matlab. Use matlabFunciton to - % get nonlinear plant model - plantState = matlabFunction(x_dot, "Vars",[{x}, {u}]); - plantOutput = matlabFunction(y, "Vars", [{x}, {u}]); - - % Createas a MATLAB - matlabFunctionBlock("genSym/Plant/Plant State", x_dot, "Vars", [{x}, {u}], "Outputs", {'x_dot'}); - matlabFunctionBlock("genSym/Plant/Plant Output", y, "Vars", [{x}, {u}], "Outputs", {'y'}); -end \ No newline at end of file diff --git a/sim/dynamics.m b/sim/dynamics.m deleted file mode 100644 index 80d55b8..0000000 --- a/sim/dynamics.m +++ /dev/null @@ -1,59 +0,0 @@ -% Converts the EoMs into the Dynamics -% The dynamics function converts the manually derived EoM into the linear -% and discretized versions for other functions to use. This function also -% generates the nonlinear plant functions for x_dot & y that can be used by -% other functions and as simulink blocks. -% -% Outputs: -% lin - structure containing state space matrices (A,B,C,D) -% linDis - structure containing discrete state space matrices -% plantState - nonlinear plant state function -% plantOutput - nonlinear plant output function -% -% [NOT IMPLEMENTED YET! Need more info on ASTRA] -% w - not included in linearization -% y - currently uses y = eye(n)*x - -function [lin, linDis, plantState, plantOutput] = dynamics(x, u, x_dot, constants) - % Linearized around static vertical position - delx = [0; 0; 0; 0; 0; 0; 1; 0; 0; 0; 0; 0; 0]; - delu = [0; 0; constants.m * constants.g; 0]; - - % Linear relations - % Takes the jacobian of the state dyanmics and output and subsitutes in - % the values at our desired point of linearization. - % NOTE: replace "[x; u], [delx; delu]" with "[x; u; w], [delx; delu; - % delw]" when disturbance is added - lin.A = eval(subs(jacobian(x_dot, x), [x; u], [delx; delu])); % Jacobian of f with respect to x - lin.B = eval(subs(jacobian(x_dot, u), [x; u], [delx; delu])); % Jacobian of f with respect to u - % lin.C = eval(subs(jacobian(y, x), [x; u], [delx; delu])); % Jacobian of g with respect to x - % lin.D = eval(subs(jacobian(y, u), [x; u], [delx; delu])); % Jacobian of g with respect to u - - - % Until Output is added we have modeled it as being able to directly - % observe the states - lin.C = eye(size(lin.A)); - lin.D = zeros(size(lin.B)); - y = x; - - - % Discrete Linear - % Creates a system object using continuous matrices and converts them to - % discrete form using the c2d function with time step T - sysLin = ss(lin.A, lin.B, lin.C, lin.D); - sysDis = c2d(sysLin, constants.T); - - linDis.Ad = sysDis.A; - linDis.Bd = sysDis.B; - linDis.Cd = sysDis.C; - linDis.Dd = sysDis.D; - - % Output linear and discrete functions for matlab. Use matlabFunciton to - % get nonlinear plant model - plantState = matlabFunction(x_dot, "Vars",[{x}, {u}]); - plantOutput = matlabFunction(y, "Vars", [{x}, {u}]); - - % Createas a MATLAB - matlabFunctionBlock("genSym/Plant/Plant State", x_dot, "Vars", [{x}, {u}], "Outputs", {'x_dot'}); - matlabFunctionBlock("genSym/Plant/Plant Output", y, "Vars", [{x}, {u}], "Outputs", {'y'}); -end \ No newline at end of file diff --git a/sim/eoms_test_script.m b/sim/eoms_test_script.m deleted file mode 100644 index 87f2833..0000000 --- a/sim/eoms_test_script.m +++ /dev/null @@ -1,71 +0,0 @@ -clear; close all; - -C_vert = [0 0 1; 1 0 0; 0 1 0]; -q0 = dcm2quat(C_vert).'; -omega0 = [0; 0; 0]; - -t_list = linspace(0, 10, 10000); -[tout, x] = ode45(@(t,x) odefun(t,x), t_list, [x0; v0; q0; omega0]); - -plot(tout, x(:, 7:13)) -legend('q_0', 'q_1', 'q_2', 'q_3', 'omega_1', 'omega_2', 'omega_3') -grid on - -function dxdt = odefun(t, x) - theta = 0; - phi = 0; - thrust = 100; - tau = 0; - rTB = 1; - J1_1 = 100; - J1_2 = 0; - J1_3 = 0; - J2_1 = 0; - J2_2 = 500; - J2_3 = 0; - J3_1 = 0; - J3_2 = 0; - J3_3 = 500; - m = 10; - g = 9.81; - v1 = x(4); - v2 = x(5); - v3 = x(6); - q0 = x(7); - q1 = x(8); - q2 = x(9); - q3 = x(10); - omega1 = x(11); - omega2 = x(12); - omega3 = x(13); - - - dxdt = zeros(13, 1); - % dxdt(1) = v1; - % dxdt(2) = v2; - % dxdt(3) = v3; - % dxdt(4) = -(g*m + thrust*sin(theta)*(2*q0*q2 + 2*q1*q3) + thrust*cos(phi)*cos(theta)*(2*q2^2 + 2*q3^2 - 1) + thrust*cos(theta)*sin(phi)*(2*q0*q3 - 2*q1*q2))/m; - % dxdt(5) = (thrust*sin(theta)*(2*q0*q1 - 2*q2*q3) - thrust*cos(theta)*sin(phi)*(2*q1^2 + 2*q3^2 - 1) + thrust*cos(phi)*cos(theta)*(2*q0*q3 + 2*q1*q2))/m; - % dxdt(6) = (thrust*sin(theta)*(2*q1^2 + 2*q2^2 - 1) - thrust*cos(phi)*cos(theta)*(2*q0*q2 - 2*q1*q3) + thrust*cos(theta)*sin(phi)*(2*q0*q1 + 2*q2*q3))/m; - % dxdt(7) = 0.5000*omega1*q3 - 0.5000*omega2*q2 + 0.5000*omega3*q1; - % dxdt(8) = 0.5000*omega1*q2 - 0.5000*omega3*q0 + 0.5000*omega2*q3; - % dxdt(9) = 0.5000*omega2*q0 - 0.5000*omega1*q1 + 0.5000*omega3*q3; - % dxdt(10) = - 0.5000*omega1*q0 - 0.5000*omega2*q1 - 0.5000*omega3*q2; - % dxdt(11) = ((J1_2*J2_3 - J1_3*J2_2)*(omega1*(J1_1*omega2 - J2_1*omega1) + omega2*(J1_2*omega2 - J2_2*omega1) + omega3*(J1_3*omega2 - J2_3*omega1) + rTB*thrust*cos(theta)*sin(phi)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J1_2*J3_3 - J1_3*J3_2)*(omega1*(J1_1*omega3 - J3_1*omega1) + omega2*(J1_2*omega3 - J3_2*omega1) + omega3*(J1_3*omega3 - J3_3*omega1) - rTB*thrust*sin(theta)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J2_2*J3_3 - J2_3*J3_2)*(tau + omega1*(J2_1*omega3 - J3_1*omega2) + omega2*(J2_2*omega3 - J3_2*omega2) + omega3*(J2_3*omega3 - J3_3*omega2)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1); - % dxdt(12) = -((J1_1*J2_3 - J1_3*J2_1)*(omega1*(J1_1*omega2 - J2_1*omega1) + omega2*(J1_2*omega2 - J2_2*omega1) + omega3*(J1_3*omega2 - J2_3*omega1) + rTB*thrust*cos(theta)*sin(phi)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) - ((J1_1*J3_3 - J1_3*J3_1)*(omega1*(J1_1*omega3 - J3_1*omega1) + omega2*(J1_2*omega3 - J3_2*omega1) + omega3*(J1_3*omega3 - J3_3*omega1) - rTB*thrust*sin(theta)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) - ((J2_1*J3_3 - J2_3*J3_1)*(tau + omega1*(J2_1*omega3 - J3_1*omega2) + omega2*(J2_2*omega3 - J3_2*omega2) + omega3*(J2_3*omega3 - J3_3*omega2)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1); - % dxdt(13) = ((J1_1*J2_2 - J1_2*J2_1)*(omega1*(J1_1*omega2 - J2_1*omega1) + omega2*(J1_2*omega2 - J2_2*omega1) + omega3*(J1_3*omega2 - J2_3*omega1) + rTB*thrust*cos(theta)*sin(phi)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J1_1*J3_2 - J1_2*J3_1)*(omega1*(J1_1*omega3 - J3_1*omega1) + omega2*(J1_2*omega3 - J3_2*omega1) + omega3*(J1_3*omega3 - J3_3*omega1) - rTB*thrust*sin(theta)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J2_1*J3_2 - J2_2*J3_1)*(tau + omega1*(J2_1*omega3 - J3_1*omega2) + omega2*(J2_2*omega3 - J3_2*omega2) + omega3*(J2_3*omega3 - J3_3*omega2)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1); - - dxdt(1) = v1; - dxdt(2) = v2; - dxdt(3) = v3; - dxdt(4) = -(g*m + thrust*sin(theta)*(2*q0*q2 + 2*q1*q3) + thrust*cos(phi)*cos(theta)*(2*q2^2 + 2*q3^2 - 1) + thrust*cos(theta)*sin(phi)*(2*q0*q3 - 2*q1*q2))/m; - dxdt(5) = (thrust*sin(theta)*(2*q0*q1 - 2*q2*q3) - thrust*cos(theta)*sin(phi)*(2*q1^2 + 2*q3^2 - 1) + thrust*cos(phi)*cos(theta)*(2*q0*q3 + 2*q1*q2))/m; - dxdt(6) = (thrust*sin(theta)*(2*q1^2 + 2*q2^2 - 1) - thrust*cos(phi)*cos(theta)*(2*q0*q2 - 2*q1*q3) + thrust*cos(theta)*sin(phi)*(2*q0*q1 + 2*q2*q3))/m; - dxdt(7) = 0.5000*omega1*q3 + 0.5000*omega2*q2 - 0.5000*omega3*q1; - dxdt(8) = 0.5000*omega3*q0 - 0.5000*omega1*q2 + 0.5000*omega2*q3; - dxdt(9) = 0.5000*omega1*q1 - 0.5000*omega2*q0 + 0.5000*omega3*q3; - dxdt(10) = - 0.5000*omega1*q0 - 0.5000*omega2*q1 - 0.5000*omega3*q2; - dxdt(11) = ((J1_2*J2_3 - J1_3*J2_2)*(omega1*(J1_1*omega2 - J2_1*omega1) + omega2*(J1_2*omega2 - J2_2*omega1) + omega3*(J1_3*omega2 - J2_3*omega1) + rTB*thrust*cos(theta)*sin(phi)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J1_2*J3_3 - J1_3*J3_2)*(omega1*(J1_1*omega3 - J3_1*omega1) + omega2*(J1_2*omega3 - J3_2*omega1) + omega3*(J1_3*omega3 - J3_3*omega1) - rTB*thrust*sin(theta)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J2_2*J3_3 - J2_3*J3_2)*(tau + omega1*(J2_1*omega3 - J3_1*omega2) + omega2*(J2_2*omega3 - J3_2*omega2) + omega3*(J2_3*omega3 - J3_3*omega2)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1); - dxdt(12) = -((J1_1*J2_3 - J1_3*J2_1)*(omega1*(J1_1*omega2 - J2_1*omega1) + omega2*(J1_2*omega2 - J2_2*omega1) + omega3*(J1_3*omega2 - J2_3*omega1) + rTB*thrust*cos(theta)*sin(phi)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) - ((J1_1*J3_3 - J1_3*J3_1)*(omega1*(J1_1*omega3 - J3_1*omega1) + omega2*(J1_2*omega3 - J3_2*omega1) + omega3*(J1_3*omega3 - J3_3*omega1) - rTB*thrust*sin(theta)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) - ((J2_1*J3_3 - J2_3*J3_1)*(tau + omega1*(J2_1*omega3 - J3_1*omega2) + omega2*(J2_2*omega3 - J3_2*omega2) + omega3*(J2_3*omega3 - J3_3*omega2)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1); - dxdt(13) = ((J1_1*J2_2 - J1_2*J2_1)*(omega1*(J1_1*omega2 - J2_1*omega1) + omega2*(J1_2*omega2 - J2_2*omega1) + omega3*(J1_3*omega2 - J2_3*omega1) + rTB*thrust*cos(theta)*sin(phi)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J1_1*J3_2 - J1_2*J3_1)*(omega1*(J1_1*omega3 - J3_1*omega1) + omega2*(J1_2*omega3 - J3_2*omega1) + omega3*(J1_3*omega3 - J3_3*omega1) - rTB*thrust*sin(theta)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1) + ((J2_1*J3_2 - J2_2*J3_1)*(tau + omega1*(J2_1*omega3 - J3_1*omega2) + omega2*(J2_2*omega3 - J3_2*omega2) + omega3*(J2_3*omega3 - J3_3*omega2)))/(J1_1*J2_2*J3_3 - J1_1*J2_3*J3_2 - J1_2*J2_1*J3_3 + J1_2*J2_3*J3_1 + J1_3*J2_1*J3_2 - J1_3*J2_2*J3_1); -end \ No newline at end of file diff --git a/sim/lib/.empty b/sim/lib/.empty deleted file mode 100644 index e69de29..0000000 diff --git a/sim_run.mat b/sim_run.mat new file mode 100644 index 0000000..a011822 Binary files 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