Transform a MIMO system to state space.

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I'm trying to transform the following MIMO system to state space with the following code:
nums = {[1 -1] [1 7.5];[1 0] 6.5};
dens = [1 1 6.5];
sys = tf(nums,dens)
sys = From input 1 to output... s - 1 1: ------------- s^2 + s + 6.5 s 2: ------------- s^2 + s + 6.5 From input 2 to output... s + 7.5 1: ------------- s^2 + s + 6.5 6.5 2: ------------- s^2 + s + 6.5 Continuous-time transfer function.
[A,B,C,D] = tf2ss(sys)
Error using tf2ss (line 33)
Not enough input arguments.
I wanted to know a way to transform transfer functions from a MIMO system to state space.

采纳的回答

Paul
Paul 2021-10-25
Therer really isn't a need to use tf2ss anymore. The functions tf(), ss(),and zpk() can be used to convert from one form to another. In this case:
nums = {[1 -1] [1 7.5];[1 0] 6.5};
dens = [1 1 6.5];
systf = tf(nums,dens)
systf = From input 1 to output... s - 1 1: ------------- s^2 + s + 6.5 s 2: ------------- s^2 + s + 6.5 From input 2 to output... s + 7.5 1: ------------- s^2 + s + 6.5 6.5 2: ------------- s^2 + s + 6.5 Continuous-time transfer function.
sysss = ss(systf)
sysss = A = x1 x2 x3 x4 x1 -1 -3.25 0 0 x2 2 0 0 0 x3 0 0 -1 -3.25 x4 0 0 2 0 B = u1 u2 x1 2 0 x2 0 0 x3 0 2 x4 0 0 C = x1 x2 x3 x4 y1 0.5 -0.25 0.5 1.875 y2 0.5 0 0 1.625 D = u1 u2 y1 0 0 y2 0 0 Continuous-time state-space model.
The matrices in the state space model can be accessed with dot indexing
sysss.A
ans = 4×4
-1.0000 -3.2500 0 0 2.0000 0 0 0 0 0 -1.0000 -3.2500 0 0 2.0000 0
Note that the result of ss() when coverting a MIMO tranfer function matrix will typically be non-minimal. In this case sysss has four states, when only two are needed.
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