New function argument validation method
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@ -20,7 +20,7 @@
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#+PROPERTY: header-args:matlab+ :output-dir figs
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:END:
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* Introduction :ignore:
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* Introduction :ignore:
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Stewart platforms are generated in multiple steps.
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We define 4 important *frames*:
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@ -80,7 +80,7 @@ The procedure to define the Stewart platform is the following:
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By following this procedure, we obtain a Matlab structure =stewart= that contains all the information for the Simscape model and for further analysis.
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* Matlab Code
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** Matlab Init :noexport:ignore:
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** Matlab Init :noexport:ignore:
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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<<matlab-dir>>
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#+end_src
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@ -89,6 +89,10 @@ By following this procedure, we obtain a Matlab structure =stewart= that contain
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<<matlab-init>>
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#+end_src
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#+begin_src matlab
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addpath('./src/')
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#+end_src
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** Simscape Model
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#+begin_src matlab
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open('stewart_platform.slx')
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@ -96,10 +100,10 @@ By following this procedure, we obtain a Matlab structure =stewart= that contain
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** Test the functions
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#+begin_src matlab
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stewart = initializeFramesPositions(struct('H', 90e-3, 'MO_B', 50e-3));
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stewart = generateCubicConfiguration(stewart, struct('Hc', 60e-3, 'FOc', 50e-3, 'FHa', 15e-3, 'MHb', 15e-3));
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stewart = initializeFramesPositions('H', 90e-3, 'MO_B', 50e-3);
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stewart = generateCubicConfiguration(stewart, 'Hc', 60e-3, 'FOc', 50e-3, 'FHa', 15e-3, 'MHb', 15e-3);
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stewart = computeJointsPose(stewart);
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stewart = initializeStrutDynamics(stewart, struct('Ki', 1e6*ones(6,1), 'Ci', 1e2*ones(6,1)));
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stewart = initializeStrutDynamics(stewart, 'Ki', 1e6*ones(6,1), 'Ci', 1e2*ones(6,1));
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#+end_src
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* =initializeFramesPositions=: Initialize the positions of frames {A}, {B}, {F} and {M}
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@ -113,13 +117,13 @@ This Matlab function is accessible [[file:src/initializeFramesPositions.m][here]
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** Function description
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#+begin_src matlab
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function [stewart] = initializeFramesPositions(opts_param)
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function [stewart] = initializeFramesPositions(args)
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% initializeFramesPositions - Initialize the positions of frames {A}, {B}, {F} and {M}
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%
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% Syntax: [stewart] = initializeFramesPositions(H, MO_B)
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% Syntax: [stewart] = initializeFramesPositions(args)
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%
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% Inputs:
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% - opts_param - Structure with the following fields:
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% - args - Can have the following fields:
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% - H [1x1] - Total Height of the Stewart Platform [m]
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% - MO_B [1x1] - Height of the frame {B} with respect to {M} [m]
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%
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@ -132,20 +136,10 @@ This Matlab function is accessible [[file:src/initializeFramesPositions.m][here]
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#+end_src
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** Optional Parameters
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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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'H', 90e-3, ... % [m]
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'MO_B', 50e-3 ... % [m]
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);
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#+end_src
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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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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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arguments
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args.H (1,1) double {mustBeNumeric, mustBePositive} = 90e-3
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args.MO_B (1,1) double {mustBeNumeric, mustBePositive} = 50e-3
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end
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#+end_src
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@ -156,11 +150,11 @@ Populate opts with input parameters
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** Compute the position of each frame
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#+begin_src matlab
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stewart.H = opts.H; % Total Height of the Stewart Platform [m]
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stewart.H = args.H; % Total Height of the Stewart Platform [m]
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stewart.FO_M = [0; 0; stewart.H]; % Position of {M} with respect to {F} [m]
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stewart.MO_B = [0; 0; opts.MO_B]; % Position of {B} with respect to {M} [m]
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stewart.MO_B = [0; 0; args.MO_B]; % Position of {B} with respect to {M} [m]
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stewart.FO_A = stewart.MO_B + stewart.FO_M; % Position of {A} with respect to {F} [m]
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#+end_src
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@ -176,15 +170,15 @@ This Matlab function is accessible [[file:src/generateCubicConfiguration.m][here
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** Function description
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#+begin_src matlab
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function [stewart] = generateCubicConfiguration(stewart, opts_param)
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function [stewart] = generateCubicConfiguration(stewart, args)
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% generateCubicConfiguration - Generate a Cubic Configuration
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%
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% Syntax: [stewart] = generateCubicConfiguration(stewart, opts_param)
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% Syntax: [stewart] = generateCubicConfiguration(stewart, args)
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%
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% Inputs:
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% - stewart - A structure with the following fields
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% - H [1x1] - Total height of the platform [m]
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% - opts_param - Structure with the following fields:
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% - args - Can have the following fields:
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% - Hc [1x1] - Height of the "useful" part of the cube [m]
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% - FOc [1x1] - Height of the center of the cute with respect to {F} [m]
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% - FHa [1x1] - Height of the plane joining the points ai with respect to the frame {F} [m]
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@ -197,22 +191,13 @@ This Matlab function is accessible [[file:src/generateCubicConfiguration.m][here
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#+end_src
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** Optional Parameters
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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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'Hc', 60e-3, ... % [m]
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'FOc', 50e-3, ... % [m]
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'FHa', 15e-3, ... % [m]
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'MHb', 15e-3 ... % [m]
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);
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#+end_src
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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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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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arguments
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stewart
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args.Hc (1,1) double {mustBeNumeric, mustBePositive} = 60e-3
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args.FOc (1,1) double {mustBeNumeric, mustBePositive} = 50e-3
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args.FHa (1,1) double {mustBeNumeric, mustBePositive} = 15e-3
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args.MHb (1,1) double {mustBeNumeric, mustBePositive} = 15e-3
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end
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#+end_src
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@ -226,9 +211,9 @@ ${}^{C}C$ are the 6 vertices of the cubes expressed in a frame {C} which is loca
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R = [sx, sy, sz]./vecnorm([sx, sy, sz]);
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L = opts.Hc*sqrt(3);
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L = args.Hc*sqrt(3);
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Cc = R'*[[0;0;L],[L;0;L],[L;0;0],[L;L;0],[0;L;0],[0;L;L]] - [0;0;1.5*opts.Hc];
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Cc = R'*[[0;0;L],[L;0;L],[L;0;0],[L;L;0],[0;L;0],[0;L;L]] - [0;0;1.5*args.Hc];
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CCf = [Cc(:,1), Cc(:,3), Cc(:,3), Cc(:,5), Cc(:,5), Cc(:,1)]; % CCf(:,i) corresponds to the bottom cube's vertice corresponding to the i'th leg
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CCm = [Cc(:,2), Cc(:,2), Cc(:,4), Cc(:,4), Cc(:,6), Cc(:,6)]; % CCm(:,i) corresponds to the top cube's vertice corresponding to the i'th leg
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@ -242,8 +227,8 @@ We can compute the vector of each leg ${}^{C}\hat{\bm{s}}_{i}$ (unit vector from
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We now which to compute the position of the joints $a_{i}$ and $b_{i}$.
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#+begin_src matlab
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stewart.Fa = CCf + [0; 0; opts.FOc] + ((opts.FHa-(opts.FOc-opts.Hc/2))./CSi(3,:)).*CSi;
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stewart.Mb = CCf + [0; 0; opts.FOc-stewart.H] + ((stewart.H-opts.MHb-(opts.FOc-opts.Hc/2))./CSi(3,:)).*CSi;
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stewart.Fa = CCf + [0; 0; args.FOc] + ((args.FHa-(args.FOc-args.Hc/2))./CSi(3,:)).*CSi;
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stewart.Mb = CCf + [0; 0; args.FOc-stewart.H] + ((stewart.H-args.MHb-(args.FOc-args.Hc/2))./CSi(3,:)).*CSi;
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#+end_src
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* =computeJointsPose=: Compute the Pose of the Joints
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@ -326,13 +311,13 @@ This Matlab function is accessible [[file:src/initializeStrutDynamics.m][here]].
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** Function description
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#+begin_src matlab
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function [stewart] = initializeStrutDynamics(stewart, opts_param)
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function [stewart] = initializeStrutDynamics(stewart, args)
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% initializeStrutDynamics - Add Stiffness and Damping properties of each strut
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%
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% Syntax: [stewart] = initializeStrutDynamics(opts_param)
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% Syntax: [stewart] = initializeStrutDynamics(args)
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%
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% Inputs:
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% - opts_param - Structure with the following fields:
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% - args - Structure with the following fields:
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% - Ki [6x1] - Stiffness of each strut [N/m]
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% - Ci [6x1] - Damping of each strut [N/(m/s)]
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%
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@ -343,27 +328,18 @@ This Matlab function is accessible [[file:src/initializeStrutDynamics.m][here]].
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#+end_src
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** Optional Parameters
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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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'Ki', 1e6*ones(6,1), ... % [N/m]
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'Ci', 1e2*ones(6,1) ... % [N/(m/s)]
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);
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#+end_src
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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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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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arguments
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stewart
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args.Ki (6,1) double {mustBeNumeric, mustBePositive} = 1e6*ones(6,1)
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args.Ci (6,1) double {mustBeNumeric, mustBePositive} = 1e2*ones(6,1)
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end
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#+end_src
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** Add Stiffness and Damping properties of each strut
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#+begin_src matlab
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stewart.Ki = opts.Ki;
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stewart.Ci = opts.Ci;
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stewart.Ki = args.Ki;
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stewart.Ci = args.Ci;
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#+end_src
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* OLD :noexport:
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@ -1,32 +1,28 @@
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function [stewart] = generateCubicConfiguration(stewart, opts_param)
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% generateCubicConfiguration -
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function [stewart] = generateCubicConfiguration(stewart, args)
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% generateCubicConfiguration - Generate a Cubic Configuration
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%
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% Syntax: [stewart] = generateCubicConfiguration(stewart, opts_param)
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% Syntax: [stewart] = generateCubicConfiguration(stewart, args)
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%
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% Inputs:
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% - stewart - the Stewart struct should have a parameter "H" corresponding to the total height of the platform
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% - opts_param - Structure with the following parameters
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% - stewart - A structure with the following fields
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% - H [1x1] - Total height of the platform [m]
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% - args - Can have the following fields:
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% - Hc [1x1] - Height of the "useful" part of the cube [m]
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% - FOc [1x1] - Height of the center of the cute with respect to {F} [m]
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% - FHa [1x1] - Height of the plane joining the points ai with respect to the frame {F} [m]
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% - MHb [1x1] - Height of the plane joining the points bi with respect to the frame {M} [m]
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%
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% Outputs:
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% - stewart - updated Stewart structure with the added parameters:
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% - Fa [3x6] - Its i'th column is the position vector of joint ai with respect to {F}
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% - Mb [3x6] - Its i'th column is the position vector of joint bi with respect to {M}
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% - stewart - updated Stewart structure with the added fields:
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% - Fa [3x6] - Its i'th column is the position vector of joint ai with respect to {F}
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% - Mb [3x6] - Its i'th column is the position vector of joint bi with respect to {M}
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opts = struct( ...
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'Hc', 60e-3, ... % [m]
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'FOc', 50e-3, ... % [m]
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'FHa', 15e-3, ... % [m]
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'MHb', 15e-3 ... % [m]
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);
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if exist('opts_param','var')
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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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arguments
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stewart
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args.Hc (1,1) double {mustBeNumeric, mustBePositive} = 60e-3
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args.FOc (1,1) double {mustBeNumeric, mustBePositive} = 50e-3
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args.FHa (1,1) double {mustBeNumeric, mustBePositive} = 15e-3
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args.MHb (1,1) double {mustBeNumeric, mustBePositive} = 15e-3
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end
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sx = [ 2; -1; -1];
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@ -35,14 +31,14 @@ sz = [ 1; 1; 1];
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R = [sx, sy, sz]./vecnorm([sx, sy, sz]);
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L = opts.Hc*sqrt(3);
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L = args.Hc*sqrt(3);
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Cc = R'*[[0;0;L],[L;0;L],[L;0;0],[L;L;0],[0;L;0],[0;L;L]] - [0;0;1.5*opts.Hc];
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Cc = R'*[[0;0;L],[L;0;L],[L;0;0],[L;L;0],[0;L;0],[0;L;L]] - [0;0;1.5*args.Hc];
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CCf = [Cc(:,1), Cc(:,3), Cc(:,3), Cc(:,5), Cc(:,5), Cc(:,1)]; % CCf(:,i) corresponds to the bottom cube's vertice corresponding to the i'th leg
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CCm = [Cc(:,2), Cc(:,2), Cc(:,4), Cc(:,4), Cc(:,6), Cc(:,6)]; % CCm(:,i) corresponds to the top cube's vertice corresponding to the i'th leg
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CSi = (CCm - CCf)./vecnorm(CCm - CCf);
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stewart.Fa = CCf + [0; 0; opts.FOc] + ((opts.FHa-(opts.FOc-opts.Hc/2))./CSi(3,:)).*CSi;
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stewart.Mb = CCf + [0; 0; opts.FOc-stewart.H] + ((stewart.H-opts.MHb-(opts.FOc-opts.Hc/2))./CSi(3,:)).*CSi;
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stewart.Fa = CCf + [0; 0; args.FOc] + ((args.FHa-(args.FOc-args.Hc/2))./CSi(3,:)).*CSi;
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stewart.Mb = CCf + [0; 0; args.FOc-stewart.H] + ((stewart.H-args.MHb-(args.FOc-args.Hc/2))./CSi(3,:)).*CSi;
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@ -1,10 +1,10 @@
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function [stewart] = initializeFramesPositions(opts_param)
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function [stewart] = initializeFramesPositions(args)
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% initializeFramesPositions - Initialize the positions of frames {A}, {B}, {F} and {M}
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%
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% Syntax: [stewart] = initializeFramesPositions(H, MO_B)
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% Syntax: [stewart] = initializeFramesPositions(args)
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%
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% Inputs:
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% - opts_param - Structure with the following fields:
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% - args - Can have the following fields:
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% - H [1x1] - Total Height of the Stewart Platform [m]
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% - MO_B [1x1] - Height of the frame {B} with respect to {M} [m]
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%
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@ -15,23 +15,17 @@ function [stewart] = initializeFramesPositions(opts_param)
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% - MO_B [3x1] - Position of {B} with respect to {M} [m]
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% - FO_A [3x1] - Position of {A} with respect to {F} [m]
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opts = struct( ...
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'H', 90e-3, ... % [m]
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'MO_B', 50e-3 ... % [m]
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);
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if exist('opts_param','var')
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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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arguments
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args.H (1,1) double {mustBeNumeric, mustBePositive} = 90e-3
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args.MO_B (1,1) double {mustBeNumeric, mustBePositive} = 50e-3
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end
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stewart = struct();
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stewart.H = opts.H; % Total Height of the Stewart Platform [m]
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stewart.H = args.H; % Total Height of the Stewart Platform [m]
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stewart.FO_M = [0; 0; stewart.H]; % Position of {M} with respect to {F} [m]
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stewart.MO_B = [0; 0; opts.MO_B]; % Position of {B} with respect to {M} [m]
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stewart.MO_B = [0; 0; args.MO_B]; % Position of {B} with respect to {M} [m]
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stewart.FO_A = stewart.MO_B + stewart.FO_M; % Position of {A} with respect to {F} [m]
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@ -1,10 +1,10 @@
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function [stewart] = initializeStrutDynamics(stewart, opts_param)
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function [stewart] = initializeStrutDynamics(stewart, args)
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% initializeStrutDynamics - Add Stiffness and Damping properties of each strut
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%
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% Syntax: [stewart] = initializeStrutDynamics(opts_param)
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% Syntax: [stewart] = initializeStrutDynamics(args)
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%
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% Inputs:
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% - opts_param - Structure with the following fields:
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% - args - Structure with the following fields:
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% - Ki [6x1] - Stiffness of each strut [N/m]
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% - Ci [6x1] - Damping of each strut [N/(m/s)]
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%
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@ -13,16 +13,11 @@ function [stewart] = initializeStrutDynamics(stewart, opts_param)
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% - Ki [6x1] - Stiffness of each strut [N/m]
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% - Ci [6x1] - Damping of each strut [N/(m/s)]
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opts = struct( ...
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'Ki', 1e6*ones(6,1), ... % [N/m]
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'Ci', 1e2*ones(6,1) ... % [N/(m/s)]
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);
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if exist('opts_param','var')
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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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arguments
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stewart
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args.Ki (6,1) double {mustBeNumeric, mustBePositive} = 1e6*ones(6,1)
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args.Ci (6,1) double {mustBeNumeric, mustBePositive} = 1e2*ones(6,1)
|
||||
end
|
||||
|
||||
stewart.Ki = opts.Ki;
|
||||
stewart.Ci = opts.Ci;
|
||||
stewart.Ki = args.Ki;
|
||||
stewart.Ci = args.Ci;
|
||||
|
Loading…
Reference in New Issue
Block a user