clc clear all close all %% global variables global K SATURATION PREDICTION_HORIZON PREDICTION_SATURATION_TOLERANCE; sim_data = load(['tests/sin/common.mat']); sim_data.q0 = set_initial_conditions(sim_data.INITIAL_CONDITIONS); [ref dref] = set_trajectory(sim_data.TRAJECTORY); sim_data.ref = ref; sim_data.dref = dref; spmd (3) worker_index = spmdIndex; data = load(['tests/sin/sin' num2str(spmdIndex) '.mat']); sim_data.PREDICTION_HORIZON = data.PREDICTION_HORIZON; sim_data [t, q, ref_t, U] = simulate_discr(sim_data); end s_ = size(worker_index); for n = 1:s_(2) figure(n) plot_results(t{n}, q{n}, ref_t{n}, U{n}); end %% FUNCTION DECLARATIONS % Discrete-time simulation function [t, q, ref_t, U] = simulate_discr(sim_data) tc = sim_data.tc; steps = sim_data.tfin/tc q = sim_data.q0'; t = 0; u_discr = control_act(t, q, sim_data); U = u_discr'; for n = 1:steps tspan = [(n-1)*tc n*tc]; z0 = q(end, :); %[v, z] = ode45(@sistema_discr, tspan, z0, u_discr); [v, z] = ode45(@(v, z) sistema_discr(v, z, u_discr), tspan, z0); q = [q; z]; t = [t; v]; u_discr = control_act(t(end), q(end, :), sim_data); U = [U; ones(length(v), 1)*u_discr']; end ref_t = double(subs(sim_data.ref, t'))'; end % Continuos-time simulation function [t, q, ref, U] = simulate_cont(tfin) global ref q0 % simulation time tspan = linspace(0, tfin); % execute simulation [t, q] = ode45(@sistema, tspan, q0); % recalc and save input at each timestep ts = size(t); rows = ts(1); U = zeros(rows, 2); for row = 1:rows U(row, :) = control_act(t(row), q(row, :)); end % plot results ref = double(subs(ref, t'))'; end % Plots function plot_results(t, x, ref, U) subplot(2,2,1) hold on plot(ref(:, 1), ref(:, 2), "DisplayName", "Ref") plot(x(:, 1), x(:, 2), "DisplayName", "state") xlabel('x') ylabel('y') legend() subplot(2,2,3) plot(t, U(:, 1)) xlabel('t') ylabel('input v') subplot(2,2,4) plot(t, U(:, 2)) xlabel('t') ylabel('input w') subplot(4,4,3) hold on xlabel('t') ylabel('x') plot(t, ref(:, 1), "DisplayName", "X_{ref}"); plot(t, x(:, 1), "DisplayName", "X"); legend() hold off subplot(4,4,4) plot(t, ref(:, 1) - x(:, 1)); xlabel('t') ylabel('x error') subplot(4,4,7) hold on xlabel('t') ylabel('y') plot(t, ref(:, 2), "DisplayName", "Y_{ref}"); plot(t, x(:, 2), "DisplayName", "Y"); legend() hold off subplot(4,4,8) plot(t, ref(:, 2) - x(:, 2)); xlabel('t') ylabel('y error') end