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Simulink Project (link)</a></li> <li><a href="#org38b9089">2. Stewart Platform Architecture Definition (link)</a></li> <li><a href="#orgf1c7b3b">3. Simscape Model of the Stewart Platform (link)</a></li> <li><a href="#org369c8bb">4. Kinematic Analysis (link)</a></li> <li><a href="#org2e3169e">5. Identification of the Stewart Dynamics (link)</a></li> <li><a href="#orgc3a4c87">6. Active Damping (link)</a></li> <li><a href="#org5b4e9b0">7. Motion Control of the Stewart Platform (link)</a></li> <li><a href="#org1f468b1">8. Cubic Configuration (link)</a></li> </ul> </div> </div> <p> The goal of this project is to provide a Matlab/Simscape Toolbox to study Stewart platforms. </p> <p> The project is divided into several section listed below. </p> <div id="outline-container-orgff0bfd7" class="outline-2"> <h2 id="orgff0bfd7"><span class="section-number-2">1</span> Simulink Project (<a href="simulink-project.html">link</a>)</h2> <div class="outline-text-2" id="text-1"> <p> The project is managed with a <b>Simulink Project</b>. Such project is briefly presented <a href="simulink-project.html">here</a>. </p> </div> </div> <div id="outline-container-org38b9089" class="outline-2"> <h2 id="org38b9089"><span class="section-number-2">2</span> Stewart Platform Architecture Definition (<a href="stewart-architecture.html">link</a>)</h2> <div class="outline-text-2" id="text-2"> <p> The way the Stewart Platform is defined <a href="stewart-architecture.html">here</a>. </p> <p> All the geometrical parameters are defined including: </p> <ul class="org-ul"> <li>Definition of the location of the frames</li> <li>Location/orientation of the limbs</li> <li>Size/inertia of the platforms and the limbs</li> </ul> <p> Other parameters are also defined such as: </p> <ul class="org-ul"> <li>Stiffness and damping of the struts</li> <li>Rest position of the Stewart platform</li> </ul> </div> </div> <div id="outline-container-orgf1c7b3b" class="outline-2"> <h2 id="orgf1c7b3b"><span class="section-number-2">3</span> Simscape Model of the Stewart Platform (<a href="simscape-model.html">link</a>)</h2> <div class="outline-text-2" id="text-3"> <p> The Stewart Platform is then modeled using <a href="https://www.mathworks.com/products/simscape.html">Simscape</a>. </p> <p> The way to model is build and works is explained <a href="simscape-model.html">here</a>. </p> </div> </div> <div id="outline-container-org369c8bb" class="outline-2"> <h2 id="org369c8bb"><span class="section-number-2">4</span> Kinematic Analysis (<a href="kinematic-study.html">link</a>)</h2> <div class="outline-text-2" id="text-4"> <p> From the defined geometry of the Stewart platform, we can perform static analysis such as: </p> <ul class="org-ul"> <li><b>Jacobian Analysis</b> that links the velocity of each limb to the velocity of the mobile platform</li> <li><b>Static Forces Analysis</b> that links the forces applied by each limb to the resulting force/torque applied to the mobile platform</li> </ul> <p> From the strut stiffness, we can also perform a <b>Stiffness Analysis</b> that consists of determining the Stiffness matrix and Compliance matrix of the Stewart platform from the geometry. </p> <p> All these analysis are described <a href="kinematic-study.html">here</a>. </p> </div> </div> <div id="outline-container-org2e3169e" class="outline-2"> <h2 id="org2e3169e"><span class="section-number-2">5</span> Identification of the Stewart Dynamics (<a href="identification.html">link</a>)</h2> <div class="outline-text-2" id="text-5"> <p> The Dynamics of the Stewart platform can be identified using the Simscape model. </p> <p> It is possible to: </p> <ul class="org-ul"> <li>Determine the dynamics from the actuators to the various sensors included in the Stewart platform</li> <li>Extract State Space models for further analysis / control synthesis</li> <li>Extract the Resonant Frequencies, Modal Damping, and associated Mode Shapes</li> </ul> <p> The code that is used for identification is explained <a href="identification.html">here</a>. </p> </div> </div> <div id="outline-container-orgc3a4c87" class="outline-2"> <h2 id="orgc3a4c87"><span class="section-number-2">6</span> Active Damping (<a href="active-damping.html">link</a>)</h2> <div class="outline-text-2" id="text-6"> <p> The use of different sensors are compared for active damping: </p> <ul class="org-ul"> <li>Inertial Sensor in each strut</li> <li>Inertial Sensor fixed to the mobile platform</li> <li>Force Sensor in each strut</li> <li>Relative Motion Sensor in each strut</li> </ul> <p> The result of the analysis is accessible <a href="active-damping.html">here</a>. </p> </div> </div> <div id="outline-container-org5b4e9b0" class="outline-2"> <h2 id="org5b4e9b0"><span class="section-number-2">7</span> Motion Control of the Stewart Platform (<a href="control-study.html">link</a>)</h2> <div class="outline-text-2" id="text-7"> <p> Some control architecture for motion control of the Stewart platform are applied on the Simscape model and compared in <a href="control-study.html">this</a> document. </p> </div> </div> <div id="outline-container-org1f468b1" class="outline-2"> <h2 id="org1f468b1"><span class="section-number-2">8</span> Cubic Configuration (<a href="cubic-configuration.html">link</a>)</h2> <div class="outline-text-2" id="text-8"> <p> The cubic configuration is a special class of Stewart platform that has interesting properties. </p> <p> These properties are studied in <a href="cubic-configuration.html">this</a> document. </p> </div> </div> </div> <div id="postamble" class="status"> <p class="author">Author: Dehaeze Thomas</p> <p class="date">Created: 2020-02-11 mar. 15:50</p> </div> </body> </html>