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!
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!