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
le 10 Fév 2020
Commenté : Star Strider
le 11 Fév 2020
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
le 10 Fév 2020
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
le 11 Fév 2020
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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