small tweaks
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@ -26,7 +26,7 @@ G_fullstate = uss(A, B, eye(4), zeros(4, 2));
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w = logspace(0, 3, 40);
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w = logspace(0, 3, 40);
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systems = usample(G, 40);
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systems = usample(G, 40);
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data = frd(systems, w) ;
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data = frd(systems, w) ;
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[G2, Info] = ucover(data, G.NominalValue, 4, []);
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[~, Info] = ucover(data, G.NominalValue, 4, []);
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Im = tf(Info.W1);
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Im = tf(Info.W1);
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%% Controller Definition
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%% Controller Definition
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@ -63,14 +63,14 @@ Ws = (s/Ms + omega_b)/(s+omega_b*eps_s);
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% state weight + integrators weight
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% state weight + integrators weight
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Q = blkdiag(1e3*eye(4), 1e7*eye(2));
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Q = blkdiag(1e3*eye(4), 1e7*eye(2));
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% input weight
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% input weight
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R = 1e-8*eye(2);
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R = 1e-3*eye(2);
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K = -lqi(Gn, Q, R, zeros(6, 2));
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K = lqi(Gn, Q, R, zeros(6, 2));
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K = ss(K);
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K = ss(K);
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K.InputName = {'x(1)', 'x(2)', 'x(3)', 'x(4)', 'e(1)', 'e(2)'};
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K.InputName = {'x(1)', 'x(2)', 'x(3)', 'x(4)', 'e(1)', 'e(2)'};
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K.OutputName = 'u';
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K.OutputName = 'u';
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G_fullstate.InputName = 'u';
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G_fullstate.InputName = 'u';
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G_fullstate.OutputName = 'x';
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G_fullstate.OutputName = 'x';
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G_feedback = connect(G_fullstate, K, 'e', 'x', 'u');
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G_feedback = connect(G_fullstate, -K, 'e', 'x', {'u', 'x'});
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% only select first and second output
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% only select first and second output
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G_feedback = G_feedback([1 2], [1 2]);
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G_feedback = G_feedback([1 2], [1 2]);
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G_feedback.OutputName = 'y';
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G_feedback.OutputName = 'y';
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@ -156,7 +156,7 @@ title('Multiplicative Uncertainty Magnitude');
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%% Simulation
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%% Simulation
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t = 0:0.001:3;
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t = 0:0.001:3;
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r1 = 0*t + 1;
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r1 = 0*t + 0.1; % 10 centimeters displacement
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r2 = 0*t;
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r2 = 0*t;
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% transfer function from reference to controller output
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% transfer function from reference to controller output
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