Is there any MATLAB code to create STATE SPACE model from the eigenvalues and eigenvectors?

Is there any MATLAB code to create STATE SPACE model from the eigenvalues and eigenvectors?

[Star Strider]

See if using diag(eigenvalues) as the ‘A’ matrix will produce the desired result (along with the other matrices) using the Control System Toolbox ss function.

I would try that first.

Answer 1

[Pavan Sahith]

Hello,

I notice your interest in constructing a 'State-space model' from eigenvalues and eigenvectors in MATLAB.

You can try using the 'diag(eigenvalues)' to construct the matrix 'A' and spcify the other state-space matrices 'B', 'C', 'D' (if you have them;if not, they can be identity matrices or zero matrices depending on the system).

Finally, you create the state-space model using the "ss" function.

Here is MATLAB code that helps you in creating a state-space model considering some sample set of eigenvalues and eigenvectors, assuming we are working with linearly independent eigenvectors :

% Given eigenvalues and eigenvectors
eigenvalues = [-1, -2];
eigenvectors = [1, 1; 1, -1];

% Construct A matrix
A = eigenvectors * diag(eigenvalues) / eigenvectors;

% Define B, C, and D matrices
B = [1; 0];
C = [1, 0];
D = 0;

% Create state space model
sys = ss(A, B, C, D);

You can also refer to the following MathWorks Documentation to know more about the

• diag - https://www.mathworks.com/help/matlab/ref/diag.html
• ss - https://www.mathworks.com/help/control/ref/ss.html

Hope this will help.