#include #include #include "utils.hpp" #include "FlyByWire.hpp" using std::cout; using std::endl; using FlyByWire::Real; using FlyByWire::Complex; void test_Filter1_step_response(); void test_Filter2_random_noise(); void test_PID_simple_system(); int main() { cout.precision(16); // test_Filter1_step_response(); // test_Filter2_random_noise(); test_PID_simple_system(); return 0; } void test_Filter1_step_response() { // step response of simple 1st order filter double tend = 10., dt = 0.1, t, y = 0.; FlyByWire::Filter1 filt1(1, 2, 3, 4, dt, y); for(int i = 0 ; i <= (tend/dt) ; i++) { t = i*dt; cout << t << " " << y << "\n"; y = filt1.Filter(1.); } } void test_Filter2_random_noise() { // Generate some uniform noise and filter it to see if the filter class works as expected uint32_t state[5] = {123456, 654897, 812656, 87913951, 0}; double tend = 10., dt = 0.025, omega = 2*M_PI*10, Q = 20., t, y = 0., y2; FlyByWire::Filter2 filt1 = FlyByWire::Filter2::Bandpass(omega, Q, dt); std::ofstream out("data_out.m", std::ios_base::out | std::ios_base::trunc); if(!out.is_open()) { std::cerr << "Could not open the file in writing mode.\n"; return; } out << "a = ["; for(int i = 0 ; i <= (tend/dt) ; i++) { t = i*dt; y = RAND_XORWOW_A_B(state, -1., 1.); y2 = filt1.Filter(y); out << t << " " << y << " " << y2 << "\n"; } out << "];\nplot(a(:,1), a(:,2), a(:,1), a(:,3), 'linewidth', 2.), grid on, legend('original', 'filtered')"; } void test_PID_simple_system() { // Simple mass system with gravity g and perturbation w // xdotdot = -g + u + w const Real tf = 10., dt = 1./50.; const Real g = 9.81, wMag = 1.; const Real Kp = 1., Ki = 0.1, Kd = 0.1; Real x = 0., xdot = 0., xdotdot = 0., u, w, t, xd, e; uint32_t state[5] = {123456, 654897, 812656, 87913951, 0};// noise generator state FlyByWire::PID pid( Kp, Ki, Kd, dt, -HUGE_VALUE_REAL,//output_lower_bound_ HUGE_VALUE_REAL,//output_upper_bound_ Real(0.01),//tau_filtered_derivative -HUGE_VALUE_REAL,//integrator_lower_bound_ HUGE_VALUE_REAL,//integrator_upper_bound_ true,// auto_anti_windup_ 1e-3);// anti_windup margin // Output to file std::ofstream out("data_out.m", std::ios_base::out | std::ios_base::trunc); if(!out.is_open()) { std::cerr << "Could not open the file in writing mode.\n"; return; } out << "a = ["; for(t = 0. ; t <= tf ; t += dt) { // compute system target xd = sin(2*M_PI*t/2); e = xd-x; // compute system Input // u = pid.Filter(e); // simulate system w = RAND_XORWOW_A_B(state, -wMag, wMag); xdotdot = -g + u + w; xdot += xdotdot*dt; // dirty Forward Euler x += xdot*dt; // dirty Forward Euler // write to file out << t << " " << xd << " " << x << " " << xdot << " " << xdotdot << " " << e << " " << u << " " << w << "\n"; } out << "];\nfigure(1), plot(a(:,1), a(:,2), a(:,1), a(:,3), 'linewidth', 2.), grid on, legend('xd', 'x')\n"; out << "figure(2), plot(a(:,1), a(:,6), a(:,1), a(:,7), 'linewidth', 2.), grid on, legend('e', 'u')\n"; }