diff --git a/control-study.org b/control-study.org index 26082da..4001a58 100644 --- a/control-study.org +++ b/control-study.org @@ -44,6 +44,7 @@ #+begin_src matlab addpath('./src/') + addpath('./simulink/') #+end_src ** Control Schematic @@ -70,12 +71,18 @@ ** Initialize the Stewart platform #+begin_src matlab stewart = initializeFramesPositions('H', 90e-3, 'MO_B', 45e-3); - stewart = generateCubicConfiguration(stewart, 'Hc', 60e-3, 'FOc', 45e-3, 'FHa', 5e-3, 'MHb', 5e-3); + % stewart = generateCubicConfiguration(stewart, 'Hc', 60e-3, 'FOc', 45e-3, 'FHa', 5e-3, 'MHb', 5e-3); + stewart = generateGeneralConfiguration(stewart); stewart = computeJointsPose(stewart); stewart = initializeStrutDynamics(stewart, 'Ki', 1e6*ones(6,1), 'Ci', 1e2*ones(6,1)); stewart = computeJacobian(stewart); #+end_src +** Initialize the Simulation +#+begin_src matlab + load('mat/conf_simscape.mat'); +#+end_src + ** Identification of the plant Let's identify the transfer function from $\bm{\tau}}$ to $\bm{L}$. #+begin_src matlab diff --git a/src/forwardKinematicsApprox.m b/src/forwardKinematicsApprox.m new file mode 100644 index 0000000..942b92a --- /dev/null +++ b/src/forwardKinematicsApprox.m @@ -0,0 +1,31 @@ +function [P, R] = forwardKinematicsApprox(stewart, args) +% forwardKinematicsApprox - Computed the approximate pose of {B} with respect to {A} from the length of each strut and using +% the Jacobian Matrix +% +% Syntax: [P, R] = forwardKinematicsApprox(stewart, args) +% +% Inputs: +% - stewart - A structure with the following fields +% - J [6x6] - The Jacobian Matrix +% - args - Can have the following fields: +% - dL [6x1] - Displacement of each strut [m] +% +% Outputs: +% - P [3x1] - The estimated position of {B} with respect to {A} +% - R [3x3] - The estimated rotation matrix that gives the orientation of {B} with respect to {A} + +arguments + stewart + args.dL (6,1) double {mustBeNumeric} = zeros(6,1) +end + +X = stewart.J\args.dL; + +P = X(1:3); + +theta = norm(X(4:6)); +s = X(4:6)/theta; + +R = [s(1)^2*(1-cos(theta)) + cos(theta) , s(1)*s(2)*(1-cos(theta)) - s(3)*sin(theta), s(1)*s(3)*(1-cos(theta)) + s(2)*sin(theta); + s(2)*s(1)*(1-cos(theta)) + s(3)*sin(theta), s(2)^2*(1-cos(theta)) + cos(theta), s(2)*s(3)*(1-cos(theta)) - s(1)*sin(theta); + s(3)*s(1)*(1-cos(theta)) - s(2)*sin(theta), s(3)*s(2)*(1-cos(theta)) + s(1)*sin(theta), s(3)^2*(1-cos(theta)) + cos(theta)];