A control system for controlling the pressure in a closed chamber is shown below, together with its flow graph model.

The transfer function for the measuring element is \[
G(s)=\frac{100}{s^{2}+15 s+100}
\]
and the transfer function for the valve is \[
D_{1}(s)=\frac{1}{(0.1 s+1)(s / 15+1)}
\]
The controller function is given by \[
D_{c}(s)=s+1 \]
Obtain the frequency response characteristics for the loop transfer function \[
D_{c}(s) D_{1}(s) G(s)\left[\frac{1}{s}ight] \text {. }
\]

Transcribed Image Text:

Desired pressure Controller Valve Infinite Pressure chamber pressure source Po Pressure Controller