MATLAB: How to obtain the matrices A, B, C ,D of the state space for a transfer matrix using Matlab

controlControl System ToolboxMATLAB

Suppose I have a transfer matrix:
xa.PNG
how can I obtain the matrices A, B, C ,D of the state space for this matrix using Matlab?

Best Answer

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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