diff --git a/build/debug/main.exe b/build/debug/main.exe index 4708f92..26e4c04 100644 Binary files a/build/debug/main.exe and b/build/debug/main.exe differ diff --git a/build/release/gainCalc.m b/build/release/gainCalc.m new file mode 100644 index 0000000..4301efe --- /dev/null +++ b/build/release/gainCalc.m @@ -0,0 +1,66 @@ +clear all; clc; +%% User Defined Values +M0 = 1.2; % [kg] +vehicleHeight = 0.5318; % [m] +vehicleRadius = 0.05105; % [m] + +%% Calcs +I11 = (1/12) * vehicleHeight^2 + 0.25 * vehicleRadius^2; % (1/12) * h^2 + 0.25 * r^2 +I22 = (1/12) * vehicleHeight^2 + 0.25 * vehicleRadius^2; % (1/12) * h^2 + 0.25 * r^2 +I33 = 0.5 * vehicleRadius^2; % 0.5 * r^2 +I = M0 * [I11 0 0; 0 I22 0; 0 0 I33]; + +Q = eye(6) * I(3, 3); +Mu = 398600; +r0 = [6678; 0; 0]; + +k1 = (I(2,2) - I(3,3)) / I(1,1); +k2 = (I(1,1) - I(3,3)) / I(2,2); +k3 = (I(2,2) - I(1,1)) / I(3,3); + +n = sqrt(Mu/(norm(r0)^3)); + +F = -2 * n^2 * [4 * k1, 0, 0; 0, 3 * k2, 0; 0, 0, k3]; +G = n * [0, 0, (1 - k1); 0, 0, 0; (k3 - 1), 0, 0]; + +Iinv = [1 / I(1,1), 0, 0; 0, 1 / I(2,2), 0; 0, 0, 1 / I(3,3)]; + +A = [zeros(3,3), 0.5 * eye(3); F, G]; +B = [zeros(3,3); Iinv]; + +R = eye(3)*10^-6; +Rinv = R^-1; + +S = icare(A, B, Q, R); + +K = Rinv * B' * S; + +%% Outputs +% Copy results in command window to LQRcalc function in C++ +fprintf("double K11 = %3.5f;\n", K(1, 1)) +fprintf("double K12 = %3.5f;\n", K(1, 2)) +fprintf("double K13 = %3.5f;\n", K(1, 3)) +fprintf("double K14 = %3.5f;\n", K(1, 4)) +fprintf("double K15 = %3.5f;\n", K(1, 5)) +fprintf("double K16 = %3.5f;\n", K(1, 6)) +fprintf("double K21 = %3.5f;\n", K(2, 1)) +fprintf("double K22 = %3.5f;\n", K(2, 2)) +fprintf("double K23 = %3.5f;\n", K(2, 3)) +fprintf("double K24 = %3.5f;\n", K(2, 4)) +fprintf("double K25 = %3.5f;\n", K(2, 5)) +fprintf("double K26 = %3.5f;\n", K(2, 6)) +fprintf("double K31 = %3.5f;\n", K(3, 1)) +fprintf("double K32 = %3.5f;\n", K(3, 2)) +fprintf("double K33 = %3.5f;\n", K(3, 3)) +fprintf("double K34 = %3.5f;\n", K(3, 4)) +fprintf("double K35 = %3.5f;\n", K(3, 5)) +fprintf("double K36 = %3.5f;\n", K(3, 6)) + +syms yaw pitch roll yawdot pitchdot rolldot gain +w = [0.5*yaw 0.5*pitch 0.5*roll yawdot pitchdot rolldot]'; + +syms K11 K12 K13 K14 K15 K16 K21 K22 K23 K24 K25 K26 K31 K32 K33 K34 K35 K36 +K = gain * [K11 K12 K13 K14 K15 K16; K21 K22 K23 K24 K25 K26; K31 K32 K33 K34 K35 K36]; + +simplify(K*w) +