I'm struggling to form a block diagram from a set of equations.
\begin{equation} X(s) = -A X(s) + Z(s) +B W(s)\end{equation} \begin{equation}W(s)= C X(s) -D W(s)\end{equation} \begin{equation} Y(s)= E W(s)\end{equation}
A, B, C, D, E are all random constants. The transfer functions for these are therefore:
$\frac{ X(s)}{ Z(s)}=H$, $\frac{ X(s)}{ W(s)}=G$, $\frac{ W(s)}{ X(s)}=F$, $\frac{ Y(s)}{ W(s)}=U$
My question is would the system be closed loop block diagram? I.e. $ Z(s)$ goes into $X(s)$ which goes into $ W(s)$ which loops back to $ X(s)$? How would this work?
I'm struggling to get the block diagram because both $Z(s)$ and $ W(s)$ are inputs to $ X(s)$ yet, $ X(s)$ is an input to $W(s)$.