Add controller to Simscape
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index.org
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@ -786,6 +786,13 @@ We load the Jacobian (previously computed from the geometry).
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load('./jacobian.mat', 'Aa', 'Ab', 'As', 'l', 'J');
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load('./jacobian.mat', 'Aa', 'Ab', 'As', 'l', 'J');
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#+end_src
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#+end_src
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We initialize other parameters:
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#+begin_src matlab
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U = eye(6);
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V = eye(6);
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Kc = tf(zeros(6));
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#+end_src
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** Identification of the plant
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** Identification of the plant
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<<sec:stewart_identification>>
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<<sec:stewart_identification>>
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@ -1121,7 +1128,7 @@ The controller $K$ is a diagonal controller consisting a low pass filters with a
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wc = 2*pi*0.1; % Crossover Frequency [rad/s]
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wc = 2*pi*0.1; % Crossover Frequency [rad/s]
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C_g = 50; % DC Gain
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C_g = 50; % DC Gain
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K = eye(6)*C_g/(s+wc);
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Kc = eye(6)*C_g/(s+wc);
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#+end_src
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#+end_src
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The control diagram for the centralized control is shown in Figure [[fig:centralized_control]].
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The control diagram for the centralized control is shown in Figure [[fig:centralized_control]].
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@ -1155,7 +1162,7 @@ The Jacobian is used to convert forces in the cartesian frame to forces applied
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The feedback system is computed as shown below.
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The feedback system is computed as shown below.
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#+begin_src matlab
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#+begin_src matlab
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G_cen = feedback(G, inv(J')*K, [7:12], [1:6]);
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G_cen = feedback(G, inv(J')*Kc, [7:12], [1:6]);
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#+end_src
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#+end_src
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The SVD control architecture is shown in Figure [[fig:svd_control]].
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The SVD control architecture is shown in Figure [[fig:svd_control]].
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@ -1188,7 +1195,7 @@ The matrices $U$ and $V$ are used to decoupled the plant $G$.
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The feedback system is computed as shown below.
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The feedback system is computed as shown below.
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#+begin_src matlab
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#+begin_src matlab
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G_svd = feedback(G, pinv(V')*K*pinv(U), [7:12], [1:6]);
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G_svd = feedback(G, pinv(V')*Kc*pinv(U), [7:12], [1:6]);
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#+end_src
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#+end_src
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** Closed-Loop system Performances
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** Closed-Loop system Performances
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