How to use Pysindy for a Transfer function ?

[SaikrishnaVarikunta]

Suppose for as system, the Transfer function is been given as

---

SISO model :

H(s)= [ b1s+b0 ] / [ s^2 + a1s+a0 ]

If we convert it to State Space Model

x' = Ax+bu
y=Cx

with A=[-a1 -a0
1 0]
B=[1
0]
C=[ b1 b0]
and D=0

If I have the input and outptut data of the TF , how to use sindy for estimating parameters.

I need y(t) by sindy to fit it with the output data available.

Appreciate your time.

Thanks.