MATLAB: I would add one variable inside function

symbolicSymbolic Math Toolboxsyms

I have x(t) and I would to create x(t+ta) by matlab code. For example

if I have x(t)= 2t+3 , I need to create x(t+ta)= 2t+2ta+3 and so on.

Please consider x(t)=5sin(2t+theta), and x(t+ta)=5sin(2t+2ta+theta) for your explaintion.

Thank you in advance.

Best Answer

Read about subs() :

syms a t theta
x(t)=5*sin(2*t+theta);
subs(x(t)*x(t+a),{t,a,theta},{1,2,3}) % t with value one ,a with 2 and theta 3 are example values

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MATLAB: How to define a function that evaluates in input

function y=T(theta_Degree)
theta=theta_Degree*pi/180;
y=[cos(theta)^2 sin(theta)^2 2*cos(theta)*sin(theta);sin(theta)^2 cos(theta)^2 -2*cos(theta)*sin(theta);-cos(theta)*sin(theta) cos(theta)*sin(theta) cos(theta)^2-sin(theta)^2];
end

Then type in command line

T(40)

and see the results.

MATLAB: Replace x with x(t) in a symbolic matrix

syms theta1 theta2 theta3
T = [  cos(theta1 + theta2 + theta3), sin(theta1 + theta2 + theta3), 0,   8*cos(theta1 + theta2 + theta3) + 5*cos(theta1 + theta2) + 10*cos(theta1)
    -sin(theta1 + theta2 + theta3), cos(theta1 + theta2 + theta3), 0, - 8*sin(theta1 + theta2 + theta3) - 5*sin(theta1 + theta2) - 10*sin(theta1)
    0,                             0, 1,                                                                           0
    0,                             0, 0,                                                                           1];
syms theta4(t) theta5(t) theta6(t)
temp = subs(T, {theta1, theta2, theta3}, {theta4, theta5, theta6});
syms theta1(t) theta2(t) theta3(t)
AT1 = subs(temp, {theta4, theta5, theta6}, {theta1, theta2, theta3});

"It is also fine if there is some way I can call elements of the matrix below,"

T10(t) =

[ cos(theta1(t)), sin(theta1(t)), 0, 10*cos(theta1(t))]

That is not a matrix: it is a symbolic function that returns a matrix. You cannot access individual elements of the function through normal indexing. You can, however, use formula(T10) which will return an array result that is not a function, and then you can index the array result.

Best Answer

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MATLAB: How to define a function that evaluates in input

MATLAB: Replace x with x(t) in a symbolic matrix

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