How can I obtain the matrices A, B, C ,D of the state space for a transfer matrix using Matlab?
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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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Star Strider
2020-2-10
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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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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