thesis/tesi.m

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clc
clear all
close all
%TESTS = ["sin_faster", "sin", "circle", "straightline", "reverse_straightline"]
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TESTS = ["square"]
s_ = size(TESTS);
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for i = 1:s_(1)
clear data sim_data
close all
%for i = 1:1
TEST = convertStringsToChars(TESTS(i))
sim_data = load(['tests/' TEST '/common.mat']);
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sim_data.tfin=15
sim_data.r=0.08;
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sim_data.b=0.12;
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sim_data.d=0.15;
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sim_data.SATURATION=[2.85;2.85];
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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;
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spmd (3)
worker_index = spmdIndex;
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data = load(['tests/' TEST '/' num2str(worker_index) '.mat']);
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for fn = fieldnames(data)'
sim_data.(fn{1}) = data.(fn{1});
end
sim_data.U_corr_history = zeros(2,1,sim_data.PREDICTION_HORIZON);
sim_data
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[t, q, ref_t, U, U_track, U_corr, Q_pred] = simulate_discr(sim_data);
disp('Done')
end
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h = [];
s1_ = size(worker_index);
for n = 1:s1_(2)
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h = [h, figure('Name', [TEST ' ' num2str(n)] )];
plot_results(t{n}, q{n}, ref_t{n}, U{n}, U_track{n}, U_corr{n});
end
f1 = [ TEST '-' datestr(datetime)];
f = ['results/' f1];
mkdir(f)
savefig(h, [f '/' f1 '.fig']);
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clear h
dsave([f '/workspace_composite.mat']);
copyfile(['tests/' TEST], f);
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%video(q{1}', ref_t{1}', 0.1, t{1}, 2, sim_data{1}.tc*0.05, "aa");
%video(q{2}', ref_t{2}', 0.1, t{2}, 2, sim_data{1}.tc*0.05, "aa");
%video(q{3}', ref_t{3}', 0.1, t{3}, 2, sim_data{1}.tc*0.05, "aa");
end
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%% FUNCTION DECLARATIONS
% Discrete-time simulation
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function [t, q, ref_t, U, U_track, U_corr, Q_pred] = simulate_discr(sim_data)
tc = sim_data.tc;
steps = sim_data.tfin/tc
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q = sim_data.q0';
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t = 0;
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Q_pred = zeros(sim_data.PREDICTION_HORIZON,3,sim_data.tfin/sim_data.tc + 1);
[u_discr, u_track, u_corr, U_corr_history, q_pred] = control_act(t, q, sim_data);
sim_data.U_corr_history = U_corr_history;
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U = u_discr';
U_corr = u_corr';
U_track = u_track';
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Q_pred(:, :, 1) = q_pred;
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for n = 1:steps
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sim_data.old_u_corr = u_corr;
sim_data.old_u_track = u_track;
sim_data.old_u = u_discr;
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tspan = [(n-1)*tc n*tc];
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z0 = q(end, :);
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%[v, z] = ode45(@sistema_discr, tspan, z0, u_discr);
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[v, z] = ode45(@(v, z) sistema_discr(v, z, u_discr, sim_data), tspan, z0);
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q = [q; z];
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t = [t; v];
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[u_discr, u_track, u_corr, U_corr_history, q_pred] = control_act(t(end), q(end, :), sim_data);
sim_data.U_corr_history = U_corr_history;
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U = [U; ones(length(v), 1)*u_discr'];
U_corr = [U_corr; ones(length(v), 1)*u_corr'];
U_track = [U_track; ones(length(v), 1)*u_track'];
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Q_pred(:, :, 1+n) = q_pred;
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end
ref_t = double(subs(sim_data.ref, t'))';
end
%%
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% Plots
function plot_results(t, x, ref, U, U_track, U_corr)
subplot(4,2,1)
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hold on
title("trajectory / state")
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plot(ref(:, 1), ref(:, 2), "DisplayName", "Ref")
plot(x(:, 1), x(:, 2), "DisplayName", "state")
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rectangle('Position', [x(1,1)-0.075, x(1,2)-0.075, 0.15, 0.15], 'Curvature', [1,1])
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xlabel('x')
ylabel('y')
legend()
subplot(4,2,3)
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plot(t, U(:, 1))
xlabel('t')
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ylabel('input wr')
subplot(4,2,4)
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plot(t, U(:, 2))
xlabel('t')
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ylabel('input wl')
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hold off
subplot(4,2,5)
plot(t, U_corr(:, 1))
xlabel('t')
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ylabel('correction input wr')
subplot(4,2,6)
plot(t, U_corr(:, 2))
xlabel('t')
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ylabel('correction input wl')
subplot(4,2,7)
plot(t, U_track(:, 1))
xlabel('t')
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ylabel('tracking input wr')
subplot(4,2,8)
plot(t, U_track(:, 2))
xlabel('t')
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ylabel('tracking input wl')
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ex = ref(:, 1) - x(:, 1);
ey = ref(:, 2) - x(:, 2);
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subplot(8,8,5)
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hold on
xlabel('t')
ylabel('x')
plot(t, ref(:, 1), "DisplayName", "X_{ref}");
plot(t, x(:, 1), "DisplayName", "X");
legend()
hold off
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subplot(8,8,6)
plot(t, ex);
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xlabel('t')
ylabel('x error')
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subplot(8,8,13)
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hold on
xlabel('t')
ylabel('y')
plot(t, ref(:, 2), "DisplayName", "Y_{ref}");
plot(t, x(:, 2), "DisplayName", "Y");
legend()
hold off
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subplot(8,8,14)
plot(t, ey);
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xlabel('t')
ylabel('y error')
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subplot(4, 4, 4);
error_norm = sqrt(ex.*ex + ey.*ey);
plot(t, error_norm );
xlabel("t")
ylabel("error norm")
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end