Add DRAWER to index.org
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#+TITLE: Stewart Platform with Simscape
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#+TITLE: Stewart Platform with Simscape
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:DRAWER:
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#+STARTUP: overview
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="css/htmlize.css"/>
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="css/readtheorg.css"/>
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#+HTML_HEAD: <script src="js/jquery.min.js"></script>
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#+HTML_HEAD: <script src="js/bootstrap.min.js"></script>
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#+HTML_HEAD: <script type="text/javascript" src="js/jquery.stickytableheaders.min.js"></script>
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#+HTML_HEAD: <script type="text/javascript" src="js/readtheorg.js"></script>
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#+LATEX_CLASS: cleanreport
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#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
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#+LaTeX_HEADER: \newcommand{\authorFirstName}{Thomas}
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#+LaTeX_HEADER: \newcommand{\authorLastName}{Dehaeze}
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#+LaTeX_HEADER: \newcommand{\authorEmail}{dehaeze.thomas@gmail.com}
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#+PROPERTY: header-args:matlab :session *MATLAB*
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#+PROPERTY: header-args:matlab+ :comments org
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#+PROPERTY: header-args:matlab+ :exports both
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#+PROPERTY: header-args:matlab+ :eval no-export
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#+PROPERTY: header-args:matlab+ :output-dir figs
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#+PROPERTY: header-args:matlab+ :mkdirp yes
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:END:
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#+begin_src matlab :results none
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<<matlab-init>>
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addpath('src');
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addpath('library');
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#+end_src
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#+begin_src matlab :results none
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open stewart_identification
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#+end_src
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#+begin_src matlab :results output
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initializeSample(struct('mass', 50));
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initializeHexapod(struct('actuator', 'piezo'));
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#+end_src
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#+RESULTS:
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: initializeSample(struct('mass', 50));
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: initializeHexapod(struct('actuator', 'piezo'));
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#+begin_src matlab
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G = identifyPlant();
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#+end_src
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#+RESULTS:
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* Functions
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* Functions
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:PROPERTIES:
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:PROPERTIES:
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@ -122,54 +170,70 @@
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:PROPERTIES:
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:PROPERTIES:
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:HEADER-ARGS:matlab+: :tangle src/initializeHexapod.m
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:HEADER-ARGS:matlab+: :tangle src/initializeHexapod.m
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:END:
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:END:
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The =initializeHexapod= function takes one structure that contains configurations for the hexapod and returns one structure representing the hexapod.
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#+begin_src matlab
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#+begin_src matlab
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function [stewart] = initializeHexapod(opts_param)
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function [stewart] = initializeHexapod(opts_param)
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%% Default values for opts
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#+end_src
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Default values for opts
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#+begin_src matlab
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opts = struct(...
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opts = struct(...
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'height', 90, ... % Height of the platform [mm]
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'height', 90, ... % Height of the platform [mm]
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'jacobian', 150, ... % Jacobian offset [mm]
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'jacobian', 150, ... % Jacobian offset [mm]
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'density', 8000, ... % Density of hexapod [mm]
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'density', 8000, ... % Density of hexapod [mm]
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'name', 'stewart' ... % Name of the file
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'name', 'stewart' ... % Name of the file
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);
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);
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#+end_src
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%% Populate opts with input parameters
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Populate opts with input parameters
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#+begin_src matlab
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if exist('opts_param','var')
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if exist('opts_param','var')
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for opt = fieldnames(opts_param)'
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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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opts.(opt{1}) = opts_param.(opt{1});
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end
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end
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end
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end
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#+end_src
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%% Stewart Object
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Stewart Object
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#+begin_src matlab
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stewart = struct();
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stewart = struct();
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stewart.h = opts.height; % Total height of the platform [mm]
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stewart.h = opts.height; % Total height of the platform [mm]
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stewart.jacobian = opts.jacobian; % distance from the center of the top platform
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stewart.jacobian = opts.jacobian; % Distance from the center of the top platform
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% where the jacobian is computed [mm]
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% where the jacobian is computed [mm]
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#+end_src
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%% Bottom Plate
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Bottom Plate
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#+begin_src matlab
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BP = struct();
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BP = struct();
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BP.rad.int = 0; % Internal Radius [mm]
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BP.rad.int = 0; % Internal Radius [mm]
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BP.rad.ext = 150; % External Radius [mm]
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BP.rad.ext = 150; % External Radius [mm]
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BP.thickness = 10; % Thickness [mm]
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BP.thickness = 10; % Thickness [mm]
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BP.leg.rad = 100; % Radius where the legs articulations are positionned [mm]
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BP.leg.rad = 100; % Radius where the legs articulations are positionned [mm]
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BP.leg.ang = 5; % Angle Offset [deg]
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BP.leg.ang = 45; % Angle Offset [deg]
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BP.density = opts.density; % Density of the material [kg/m3]
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BP.density = opts.density; % Density of the material [kg/m3]
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BP.color = [0.7 0.7 0.7]; % Color [rgb]
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BP.color = [0.7 0.7 0.7]; % Color [rgb]
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BP.shape = [BP.rad.int BP.thickness; BP.rad.int 0; BP.rad.ext 0; BP.rad.ext BP.thickness];
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BP.shape = [BP.rad.int BP.thickness; BP.rad.int 0; BP.rad.ext 0; BP.rad.ext BP.thickness];
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#+end_src
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%% Top Plate
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Top Plate
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#+begin_src matlab
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TP = struct();
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TP = struct();
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TP.rad.int = 0; % Internal Radius [mm]
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TP.rad.int = 0; % Internal Radius [mm]
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TP.rad.ext = 100; % Internal Radius [mm]
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TP.rad.ext = 100; % Internal Radius [mm]
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TP.thickness = 10; % Thickness [mm]
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TP.thickness = 10; % Thickness [mm]
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TP.leg.rad = 90; % Radius where the legs articulations are positionned [mm]
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TP.leg.rad = 90; % Radius where the legs articulations are positionned [mm]
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TP.leg.ang = 5; % Angle Offset [deg]
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TP.leg.ang = 45; % Angle Offset [deg]
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TP.density = opts.density; % Density of the material [kg/m3]
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TP.density = opts.density; % Density of the material [kg/m3]
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TP.color = [0.7 0.7 0.7]; % Color [rgb]
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TP.color = [0.7 0.7 0.7]; % Color [rgb]
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TP.shape = [TP.rad.int TP.thickness; TP.rad.int 0; TP.rad.ext 0; TP.rad.ext TP.thickness];
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TP.shape = [TP.rad.int TP.thickness; TP.rad.int 0; TP.rad.ext 0; TP.rad.ext TP.thickness];
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#+end_src
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%% Leg
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Leg
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#+begin_src matlab
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Leg = struct();
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Leg = struct();
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Leg.stroke = 80e-6; % Maximum Stroke of each leg [m]
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Leg.stroke = 80e-6; % Maximum Stroke of each leg [m]
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Leg.sphere.bottom = Leg.rad.bottom; % Size of the sphere at the end of the leg [mm]
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Leg.sphere.bottom = Leg.rad.bottom; % Size of the sphere at the end of the leg [mm]
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Leg.sphere.top = Leg.rad.top; % Size of the sphere at the end of the leg [mm]
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Leg.sphere.top = Leg.rad.top; % Size of the sphere at the end of the leg [mm]
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#+end_src
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%% Sphere
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Sphere
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#+begin_src matlab
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SP = struct();
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SP = struct();
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SP.height.bottom = 15; % [mm]
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SP.height.bottom = 15; % [mm]
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%%
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%%
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Leg.support.bottom = [0 SP.thickness.bottom; 0 0; SP.rad.bottom 0; SP.rad.bottom SP.height.bottom];
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Leg.support.bottom = [0 SP.thickness.bottom;
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Leg.support.top = [0 SP.thickness.top; 0 0; SP.rad.top 0; SP.rad.top SP.height.top];
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0 0;
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SP.rad.bottom 0;
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SP.rad.bottom SP.height.bottom];
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Leg.support.top = [0 SP.thickness.top;
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0 0;
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SP.rad.top 0;
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SP.rad.top SP.height.top];
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%%
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%%
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stewart.BP = BP;
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stewart.BP = BP;
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%%
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%%
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save('./mat/stewart.mat', 'stewart')
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save('./mat/stewart.mat', 'stewart')
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#+end_src
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%% ==============================================================
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Additional Functions
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% Additional Functions
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#+begin_src matlab
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% ===============================================================
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%% Initialize Parameters
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%% Initialize Parameters
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function [stewart] = initializeParameters(stewart)
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function [stewart] = initializeParameters(stewart)
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%% Connection points on base and top plate w.r.t. World frame at the center of the base plate
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%% Connection points on base and top plate w.r.t. World frame at the center of the base plate
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stewart.K = stewart.Leg.k.ax*stewart.J'*stewart.J;
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stewart.K = stewart.Leg.k.ax*stewart.J'*stewart.J;
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end
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end
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#+end_src
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%% Compute the Jacobian Matrix
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Compute the Jacobian Matrix
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#+begin_src matlab
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function J = getJacobianMatrix(RM, M_pos_base)
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function J = getJacobianMatrix(RM, M_pos_base)
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% RM - [3x6] unit vector of each leg in the fixed frame
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% RM - [3x6] unit vector of each leg in the fixed frame
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% M_pos_base - [3x6] vector of the leg connection at the top platform location in the fixed frame
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% M_pos_base - [3x6] vector of the leg connection at the top platform location in the fixed frame
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