Figure P12.13 shows a pneumatic positioning system, where the displacement x is controlled by controlling the applied

Question:

Figure P12.13 shows a pneumatic positioning system, where the displacement x is controlled by controlling the applied pneumatic pressure p1. Assume that
Figure P12.13

The pressure p2 is constant, and consider the specific plant
Gp(s) = X (s)/P1 (s) = 1 / 100s2 + s
With the following series PD compensator is used to control the pressure.
Gc (s) = 2 + 19s
Obtain the Bode plots for this system, and determine the phase and gain margins.