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@@ -1,11 +1,10 @@
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<?xml version="1.0" encoding="utf-8"?>
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<?xml version="1.0" encoding="utf-8"?>
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<?xml version="1.0" encoding="utf-8"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2020-02-11 mar. 15:23 -->
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<!-- 2020-02-11 mar. 15:50 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>Stewart Platform - Control Study</title>
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@@ -269,13 +268,13 @@ for the JavaScript code in this tag.
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#orgc1805a8">First Control Architecture</a>
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<li><a href="#orgc1805a8">1. First Control Architecture</a>
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<ul>
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<li><a href="#org066d914">Control Schematic</a></li>
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<li><a href="#org64f6d6b">Initialize the Stewart platform</a></li>
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<li><a href="#org4493ec7">Identification of the plant</a></li>
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<li><a href="#org72dad5c">Plant Analysis</a></li>
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<li><a href="#orga9fb0f5">Controller Design</a></li>
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<li><a href="#org066d914">1.1. Control Schematic</a></li>
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<li><a href="#org64f6d6b">1.2. Initialize the Stewart platform</a></li>
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<li><a href="#org4493ec7">1.3. Identification of the plant</a></li>
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<li><a href="#org72dad5c">1.4. Plant Analysis</a></li>
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<li><a href="#orga9fb0f5">1.5. Controller Design</a></li>
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</ul>
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</li>
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</ul>
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@@ -283,30 +282,12 @@ for the JavaScript code in this tag.
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</div>
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<div id="outline-container-orgc1805a8" class="outline-2">
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<h2 id="orgc1805a8">First Control Architecture</h2>
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<div class="outline-text-2" id="text-orgc1805a8">
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<h2 id="orgc1805a8"><span class="section-number-2">1</span> First Control Architecture</h2>
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<div class="outline-text-2" id="text-1">
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</div>
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<div id="outline-container-org066d914" class="outline-3">
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<h3 id="org066d914">Control Schematic</h3>
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<div class="outline-text-3" id="text-org066d914">
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<div class="org-src-container">
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<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
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<span class="org-comment">% Blocs</span>
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<span class="org-font-latex-sedate">\node</span>[block] (J) at (0, 0) {<span class="org-font-latex-math">$J$</span>};
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<span class="org-font-latex-sedate">\node</span>[addb={+}{}{}{}{-}, right=1 of J] (subr) {};
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<span class="org-font-latex-sedate">\node</span>[block, right=0.8 of subr] (K) {<span class="org-font-latex-math">$K</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">{L}$</span>};
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<span class="org-font-latex-sedate">\node</span>[block, right=1 of K] (G) {<span class="org-font-latex-math">$G</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">{L}$</span>};
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<span class="org-comment">% Connections and labels</span>
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<span class="org-font-latex-sedate">\draw</span>[<-] (J.west)node[above left]{<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\bm</span></span><span class="org-font-latex-math">{r}</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">{n}$</span>} -- ++(-1, 0);
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<span class="org-font-latex-sedate">\draw</span>[->] (J.east) -- (subr.west) node[above left]{<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\bm</span></span><span class="org-font-latex-math">{r}</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">{L}$</span>};
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<span class="org-font-latex-sedate">\draw</span>[->] (subr.east) -- (K.west) node[above left]{<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\bm</span></span><span class="org-font-latex-math">{</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\epsilon</span></span><span class="org-font-latex-math">}</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">{L}$</span>};
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<span class="org-font-latex-sedate">\draw</span>[->] (K.east) -- (G.west) node[above left]{<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\bm</span></span><span class="org-font-latex-math">{</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\tau</span></span><span class="org-font-latex-math">}$</span>};
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<span class="org-font-latex-sedate">\draw</span>[->] (G.east) node[above right]{<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\bm</span></span><span class="org-font-latex-math">{L}$</span>} -| (<span class="org-font-latex-math">$(G.east)+(1, -1)$</span>) -| (subr.south);
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<span class="org-font-latex-sedate"><span class="org-keyword">\end</span></span>{<span class="org-function-name">tikzpicture</span>}
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</pre>
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</div>
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<h3 id="org066d914"><span class="section-number-3">1.1</span> Control Schematic</h3>
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<div class="outline-text-3" id="text-1-1">
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<div class="figure">
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<p><img src="figs/control_measure_rotating_2dof.png" alt="control_measure_rotating_2dof.png" />
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@@ -316,8 +297,8 @@ for the JavaScript code in this tag.
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</div>
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<div id="outline-container-org64f6d6b" class="outline-3">
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<h3 id="org64f6d6b">Initialize the Stewart platform</h3>
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<div class="outline-text-3" id="text-org64f6d6b">
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<h3 id="org64f6d6b"><span class="section-number-3">1.2</span> Initialize the Stewart platform</h3>
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<div class="outline-text-3" id="text-1-2">
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<div class="org-src-container">
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<pre class="src src-matlab">stewart = initializeStewartPlatform();
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stewart = initializeFramesPositions(stewart);
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@@ -334,8 +315,8 @@ stewart = initializeStewartPose(stewart);
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</div>
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<div id="outline-container-org4493ec7" class="outline-3">
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<h3 id="org4493ec7">Identification of the plant</h3>
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<div class="outline-text-3" id="text-org4493ec7">
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<h3 id="org4493ec7"><span class="section-number-3">1.3</span> Identification of the plant</h3>
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<div class="outline-text-3" id="text-1-3">
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<p>
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Let’s identify the transfer function from \(\bm{\tau}}\) to \(\bm{L}\).
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</p>
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@@ -362,8 +343,8 @@ G.OutputName = {<span class="org-string">'L1'</span>, <span class="org-string">'
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</div>
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<div id="outline-container-org72dad5c" class="outline-3">
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<h3 id="org72dad5c">Plant Analysis</h3>
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<div class="outline-text-3" id="text-org72dad5c">
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<h3 id="org72dad5c"><span class="section-number-3">1.4</span> Plant Analysis</h3>
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<div class="outline-text-3" id="text-1-4">
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<p>
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Diagonal terms
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Compare to off-diagonal terms
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@@ -371,8 +352,8 @@ Compare to off-diagonal terms
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</div>
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</div>
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<div id="outline-container-orga9fb0f5" class="outline-3">
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<h3 id="orga9fb0f5">Controller Design</h3>
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<div class="outline-text-3" id="text-orga9fb0f5">
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<h3 id="orga9fb0f5"><span class="section-number-3">1.5</span> Controller Design</h3>
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<div class="outline-text-3" id="text-1-5">
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<p>
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One integrator should be present in the controller.
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</p>
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@@ -401,7 +382,7 @@ Kl = Kl <span class="org-type">*</span> eye(6);
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2020-02-11 mar. 15:23</p>
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<p class="date">Created: 2020-02-11 mar. 15:50</p>
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</div>
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</body>
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</html>
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