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Add analysis about cube size

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Thomas Dehaeze
2020-03-12 18:06:56 +01:00
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@@ -4,7 +4,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2020-03-02 lun. 17:57 -->
<!-- 2020-03-12 jeu. 18:06 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Stewart Platform - Decentralized Active Damping</title>
@@ -249,25 +249,25 @@
<li><a href="#orgd59c804">1. Inertial Control</a>
<ul>
<li><a href="#org5f749c8">1.1. Identification of the Dynamics</a></li>
<li><a href="#orgd0f78f7">1.2. Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</a></li>
<li><a href="#org3f64d96">1.3. Obtained Damping</a></li>
<li><a href="#org8e1ece7">1.4. Conclusion</a></li>
<li><a href="#org81b6713">1.2. Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</a></li>
<li><a href="#orge328103">1.3. Obtained Damping</a></li>
<li><a href="#org48c963f">1.4. Conclusion</a></li>
</ul>
</li>
<li><a href="#org74c7eb4">2. Integral Force Feedback</a>
<ul>
<li><a href="#orgcd99b62">2.1. Identification of the Dynamics with perfect Joints</a></li>
<li><a href="#org1b7a953">2.2. Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</a></li>
<li><a href="#org1d362f0">2.3. Obtained Damping</a></li>
<li><a href="#org63f9110">2.4. Conclusion</a></li>
<li><a href="#org5364f58">2.1. Identification of the Dynamics with perfect Joints</a></li>
<li><a href="#org2656032">2.2. Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</a></li>
<li><a href="#org55bd5fb">2.3. Obtained Damping</a></li>
<li><a href="#org4e07d49">2.4. Conclusion</a></li>
</ul>
</li>
<li><a href="#org08917d6">3. Direct Velocity Feedback</a>
<ul>
<li><a href="#org5364f58">3.1. Identification of the Dynamics with perfect Joints</a></li>
<li><a href="#org81b6713">3.2. Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</a></li>
<li><a href="#orge328103">3.3. Obtained Damping</a></li>
<li><a href="#org48c963f">3.4. Conclusion</a></li>
<li><a href="#org693d6f2">3.1. Identification of the Dynamics with perfect Joints</a></li>
<li><a href="#org07bfe55">3.2. Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</a></li>
<li><a href="#org6f708ec">3.3. Obtained Damping</a></li>
<li><a href="#org12f722c">3.4. Conclusion</a></li>
</ul>
</li>
<li><a href="#org183f3f2">4. Compliance and Transmissibility Comparison</a>
@@ -366,8 +366,8 @@ The transfer function from actuator forces to force sensors is shown in Figure <
</div>
</div>
<div id="outline-container-orgd0f78f7" class="outline-3">
<h3 id="orgd0f78f7"><span class="section-number-3">1.2</span> Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</h3>
<div id="outline-container-org81b6713" class="outline-3">
<h3 id="org81b6713"><span class="section-number-3">1.2</span> Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</h3>
<div class="outline-text-3" id="text-1-2">
<p>
We add some stiffness and damping in the flexible joints and we re-identify the dynamics.
@@ -403,8 +403,8 @@ The new dynamics from force actuator to force sensor is shown in Figure <a href=
</div>
</div>
<div id="outline-container-org3f64d96" class="outline-3">
<h3 id="org3f64d96"><span class="section-number-3">1.3</span> Obtained Damping</h3>
<div id="outline-container-orge328103" class="outline-3">
<h3 id="orge328103"><span class="section-number-3">1.3</span> Obtained Damping</h3>
<div class="outline-text-3" id="text-1-3">
<p>
The control is a performed in a decentralized manner.
@@ -429,8 +429,8 @@ The root locus is shown in figure <a href="#org9af9e33">3</a>.
</div>
</div>
<div id="outline-container-org8e1ece7" class="outline-3">
<h3 id="org8e1ece7"><span class="section-number-3">1.4</span> Conclusion</h3>
<div id="outline-container-org48c963f" class="outline-3">
<h3 id="org48c963f"><span class="section-number-3">1.4</span> Conclusion</h3>
<div class="outline-text-3" id="text-1-4">
<div class="important">
<p>
@@ -461,8 +461,8 @@ To run the script, open the Simulink Project, and type <code>run active_damping_
</div>
</div>
<div id="outline-container-orgcd99b62" class="outline-3">
<h3 id="orgcd99b62"><span class="section-number-3">2.1</span> Identification of the Dynamics with perfect Joints</h3>
<div id="outline-container-org5364f58" class="outline-3">
<h3 id="org5364f58"><span class="section-number-3">2.1</span> Identification of the Dynamics with perfect Joints</h3>
<div class="outline-text-3" id="text-2-1">
<p>
We first initialize the Stewart platform without joint stiffness.
@@ -520,8 +520,8 @@ The transfer function from actuator forces to force sensors is shown in Figure <
</div>
</div>
<div id="outline-container-org1b7a953" class="outline-3">
<h3 id="org1b7a953"><span class="section-number-3">2.2</span> Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</h3>
<div id="outline-container-org2656032" class="outline-3">
<h3 id="org2656032"><span class="section-number-3">2.2</span> Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</h3>
<div class="outline-text-3" id="text-2-2">
<p>
We add some stiffness and damping in the flexible joints and we re-identify the dynamics.
@@ -557,8 +557,8 @@ The new dynamics from force actuator to force sensor is shown in Figure <a href=
</div>
</div>
<div id="outline-container-org1d362f0" class="outline-3">
<h3 id="org1d362f0"><span class="section-number-3">2.3</span> Obtained Damping</h3>
<div id="outline-container-org55bd5fb" class="outline-3">
<h3 id="org55bd5fb"><span class="section-number-3">2.3</span> Obtained Damping</h3>
<div class="outline-text-3" id="text-2-3">
<p>
The control is a performed in a decentralized manner.
@@ -590,8 +590,8 @@ The root locus is shown in figure <a href="#orge21bbea">6</a> and the obtained p
</div>
</div>
<div id="outline-container-org63f9110" class="outline-3">
<h3 id="org63f9110"><span class="section-number-3">2.4</span> Conclusion</h3>
<div id="outline-container-org4e07d49" class="outline-3">
<h3 id="org4e07d49"><span class="section-number-3">2.4</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-4">
<div class="important">
<p>
@@ -623,8 +623,8 @@ To run the script, open the Simulink Project, and type <code>run active_damping_
</div>
</div>
<div id="outline-container-org5364f58" class="outline-3">
<h3 id="org5364f58"><span class="section-number-3">3.1</span> Identification of the Dynamics with perfect Joints</h3>
<div id="outline-container-org693d6f2" class="outline-3">
<h3 id="org693d6f2"><span class="section-number-3">3.1</span> Identification of the Dynamics with perfect Joints</h3>
<div class="outline-text-3" id="text-3-1">
<p>
We first initialize the Stewart platform without joint stiffness.
@@ -687,8 +687,8 @@ The transfer function from actuator forces to relative motion sensors is shown i
</div>
<div id="outline-container-org81b6713" class="outline-3">
<h3 id="org81b6713"><span class="section-number-3">3.2</span> Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</h3>
<div id="outline-container-org07bfe55" class="outline-3">
<h3 id="org07bfe55"><span class="section-number-3">3.2</span> Effect of the Flexible Joint stiffness and Actuator amplification on the Dynamics</h3>
<div class="outline-text-3" id="text-3-2">
<p>
We add some stiffness and damping in the flexible joints and we re-identify the dynamics.
@@ -724,8 +724,8 @@ The new dynamics from force actuator to relative motion sensor is shown in Figur
</div>
</div>
<div id="outline-container-orge328103" class="outline-3">
<h3 id="orge328103"><span class="section-number-3">3.3</span> Obtained Damping</h3>
<div id="outline-container-org6f708ec" class="outline-3">
<h3 id="org6f708ec"><span class="section-number-3">3.3</span> Obtained Damping</h3>
<div class="outline-text-3" id="text-3-3">
<p>
The control is a performed in a decentralized manner.
@@ -750,8 +750,8 @@ The root locus is shown in figure <a href="#org277d60d">10</a>.
</div>
</div>
<div id="outline-container-org48c963f" class="outline-3">
<h3 id="org48c963f"><span class="section-number-3">3.4</span> Conclusion</h3>
<div id="outline-container-org12f722c" class="outline-3">
<h3 id="org12f722c"><span class="section-number-3">3.4</span> Conclusion</h3>
<div class="outline-text-3" id="text-3-4">
<div class="important">
<p>
@@ -762,6 +762,7 @@ Joint stiffness does increase the resonance frequencies of the system but does n
</div>
</div>
</div>
<div id="outline-container-org183f3f2" class="outline-2">
<h2 id="org183f3f2"><span class="section-number-2">4</span> Compliance and Transmissibility Comparison</h2>
<div class="outline-text-2" id="text-4">
@@ -867,7 +868,7 @@ K_dvf = 1e4<span class="org-type">*</span>s<span class="org-type">/</span>(1<spa
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-03-02 lun. 17:57</p>
<p class="date">Created: 2020-03-12 jeu. 18:06</p>
</div>
</body>
</html>