How can I obtain the matrices A, B, C ,D of the state space for a transfer matrix using Matlab?

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Flavio Clarizia 2020-2-10

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https://ww2.mathworks.cn/matlabcentral/answers/504758-how-can-i-obtain-the-matrices-a-b-c-d-of-the-state-space-for-a-transfer-matrix-using-matlab

评论： Star Strider 2020-2-11

采纳的回答： Star Strider

Suppose I have a transfer matrix:

how can I obtain the matrices A, B, C ,D of the state space for this matrix using Matlab?

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Answer 1

Star Strider 2020-2-10

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在 MATLAB Online 中打开

Try this:

s = tf('s');
P = [2/(s^2+3*s+2) 2*s/(s^2+3*s+2); -2*s/(s^2+3*s+2) -2/(s^2+3*s+2)]
S = ss(P)

producing:

S =
 
  A = 
       x1  x2  x3  x4
   x1  -3  -2   0   0
   x2   1   0   0   0
   x3   0   0  -3  -2
   x4   0   0   1   0
 
  B = 
       u1  u2
   x1   2   0
   x2   0   0
   x3   0   2
   x4   0   0
 
  C = 
       x1  x2  x3  x4
   y1   0   1   1   0
   y2  -1   0   0  -1
 
  D = 
       u1  u2
   y1   0   0
   y2   0   0
 
Continuous-time state-space model.

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Flavio Clarizia 2020-2-11

Thank you again. I am trying to apply this to solve this problem :

https://www.mathworks.com/matlabcentral/answers/504811-how-do-i-find-the-the-zero-state-diretion-and-the-zero-input-direction-of-a-transfer-matrix-in-matla?s_tid=prof_contriblnk

I don't know if it is ok to ask here, but could you give it a check if it is not a problem? Thanks in advance.

Star Strider 2020-2-11

As always, my pleasure!

I posted an Answer to your other Question (that you referenced in your last Comment) that reproduces the anslysis at the end of that monograph. The appropriate MATLAB code is already written, so that was straightforward. (I have not done anything with Rosenbrock System Matrices since my multivariable control course in graduate school, so this was an interesting problem.)

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