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< body >
< div id = "content" >
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< h1 class = "title" > Stewart Platforms< / h1 >
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< div id = "table-of-contents" >
< h2 > Table of Contents< / h2 >
< div id = "text-table-of-contents" >
< ul >
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< li > < a href = "#orgff0bfd7" > Simulink Project (link)< / a > < / li >
< li > < a href = "#org38b9089" > Stewart Platform Architecture Definition (link)< / a > < / li >
< li > < a href = "#orgf1c7b3b" > Simscape Model of the Stewart Platform (link)< / a > < / li >
< li > < a href = "#org369c8bb" > Kinematic Analysis (link)< / a > < / li >
< li > < a href = "#org2e3169e" > Identification of the Stewart Dynamics (link)< / a > < / li >
< li > < a href = "#orgc3a4c87" > Active Damping (link)< / a > < / li >
< li > < a href = "#org5b4e9b0" > Motion Control of the Stewart Platform (link)< / a > < / li >
< li > < a href = "#org1f468b1" > Cubic Configuration (link)< / a > < / li >
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< / ul >
< / div >
< / div >
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< p >
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The goal of this project is to provide a Matlab/Simscape Toolbox to study Stewart platforms.
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< / p >
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< p >
The project is divided into several section listed below.
< / p >
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< div id = "outline-container-orgff0bfd7" class = "outline-2" >
< h2 id = "orgff0bfd7" > Simulink Project (< a href = "simulink-project.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-orgff0bfd7" >
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< 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 >
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< / div >
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< div id = "outline-container-org38b9089" class = "outline-2" >
< h2 id = "org38b9089" > Stewart Platform Architecture Definition (< a href = "stewart-architecture.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-org38b9089" >
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< 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 >
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< li > Size/inertia of the platforms and the limbs< / li >
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< / ul >
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< 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 >
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< / div >
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< div id = "outline-container-orgf1c7b3b" class = "outline-2" >
< h2 id = "orgf1c7b3b" > Simscape Model of the Stewart Platform (< a href = "simscape-model.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-orgf1c7b3b" >
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< 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 >
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< div id = "outline-container-org369c8bb" class = "outline-2" >
< h2 id = "org369c8bb" > Kinematic Analysis (< a href = "kinematic-study.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-org369c8bb" >
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< p >
From the defined geometry of the Stewart platform, we can perform static analysis such as:
< / p >
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< ul class = "org-ul" >
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< 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 >
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< / ul >
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< 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 >
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< / div >
< / div >
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< div id = "outline-container-org2e3169e" class = "outline-2" >
< h2 id = "org2e3169e" > Identification of the Stewart Dynamics (< a href = "identification.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-org2e3169e" >
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< p >
The Dynamics of the Stewart platform can be identified using the Simscape model.
< / p >
< p >
It is possible to:
< / p >
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< ul class = "org-ul" >
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< 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 >
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< / ul >
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< p >
The code that is used for identification is explained < a href = "identification.html" > here< / a > .
< / p >
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< / div >
< / div >
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< div id = "outline-container-orgc3a4c87" class = "outline-2" >
< h2 id = "orgc3a4c87" > Active Damping (< a href = "active-damping.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-orgc3a4c87" >
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< p >
The use of different sensors are compared for active damping:
< / p >
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< ul class = "org-ul" >
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< 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 >
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< / ul >
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< p >
The result of the analysis is accessible < a href = "active-damping.html" > here< / a > .
< / p >
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< / div >
< / div >
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< div id = "outline-container-org5b4e9b0" class = "outline-2" >
< h2 id = "org5b4e9b0" > Motion Control of the Stewart Platform (< a href = "control-study.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-org5b4e9b0" >
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< 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 >
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< / div >
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< div id = "outline-container-org1f468b1" class = "outline-2" >
< h2 id = "org1f468b1" > Cubic Configuration (< a href = "cubic-configuration.html" > link< / a > )< / h2 >
< div class = "outline-text-2" id = "text-org1f468b1" >
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< p >
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The cubic configuration is a special class of Stewart platform that has interesting properties.
< / p >
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< p >
These properties are studied in < a href = "cubic-configuration.html" > this< / a > document.
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< / p >
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< / div >
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< / div >
< / div >
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< div id = "postamble" class = "status" >
< p class = "author" > Author: Dehaeze Thomas< / p >
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< p class = "date" > Created: 2020-02-11 mar. 15:27< / p >
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< / div >
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< / body >
< / html >
