Seeking help for find matrix A,B,C, D for a space rappresentation

Hello guys!!

i need to find the space rapresentation( matrix A, B ,C. D) for this system:

m1 = 1;

m2 = 1;

m3 = 1;

k0 = 100

plss help me finding the matrix..

[Mario Malic]

There are YouTube videos to get the state-space representation.

Answer 1

[Sam Chak]

Hi @Edoardo Moroni.

Aha! Now I understand your fundamental issue. Your mathematics teacher should have covered this matrix topic.

Were you provided with this state-space information in your previous Question? The code for describing the full state-space was also provided in my Answer. I hope you have checked it out thoroughly, not simply brushed through it. The equations in your image represent just a portion of the full state-space, which is boxed in red in the image below.

I actually wonder why your math teacher taught you Kalman Decomposition Matrices first, before teaching you the "State-space representation of scalar differential equation systems." Try working with my code, and then paste your code here.

[Edoardo Moroni]

Hello Sam! Thank you always for your time, I asked this question only for being sure that my matrix were right because, I need to build and study observator and controller for this system and some of my exit aren't observable and when I do the kalman scomposition I can't build a good state approximation for that exit C = 0 1 0 0 0 0) so I asked this question for being sure that my matrix were right, because maybe they are wrong and this is the problem

[Sam Chak]

Hi @Edoardo Moroni

It's good to be cautious when dealing with engineering problems. If you are working in a simulation environment, you can test your ideas and perform an analysis on the system to evaluate whether the designed observer is effective or not. If you encounter any difficulties, please remember to share your MATLAB code so that practitioners in the Control System Toolbox can help with the checking.