Biquad filter analysis

Thread Starter

rutiker

Joined Dec 7, 2013
1
Hello,

I was wondering if someone could help me with a little electronics problem. I need to obtain the state space model of the circuit in the picture I attached.

So basically get it into the form:

\(\frac{dx(t)}{dt}=Ax(t)+Bu(t)\) and \(y(t)=Cx(t)+Du(t)\)

I get the following matrices:

\(A=\frac{1}{RC}\begin{bmatrix}-1 & 1\\ 0.5 & 0\end{Bmatrix} B=\frac{1}{RC}\begin{bmatrix} -1 \\0\end{Bmatrix} C=\begin{bmatrix} -1 & 0\end{Bmatrix} D=0\)

and was wondering if these are the correct results.

Thank you in advance!
 
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