Solving for state transition matrix x dot = Ax + Bu

Looking to solve this equation in Matlab

Answer 1

[Shaik mohammed ghouse basha]

Hi @Greg Zozuls,

I understand that you matrix equation to be solved to get LHS provided you have the variables .

Here is a code which can be used to solve:

x_1 = 2; 
x_2 = 3;  %you can change these variables of LHS accordingly
x_3 = 4;
u = 5;

x = [x_1; x_2; x_3];  %generate a column matrix 
A = [-42.3729 0 0; 0 0 1; -0.7670 -0.0012 0];  % generate the 3 X 3 matrix as given in equation
B = [1.6949; 0; 0];  %generate the 3 X 1 matrix as given in equation

X =  A * x + B * u  %X matrix is the x dot matrix of the equation

X = 3×1

-76.2713 4.0000 -1.5376