P8.8 A feedback control system is shown in Figure P8.8.

The specification for the closed-loop system re

quires that the percent overshoot to a step input be

P O. . ≤ 10%.

(a) Determine the corresponding spec -

ification Mpω in the frequency domain for the closed-loop transfer function.

(b) Determine the reso

nant frequency ωr.

(c) Determine the bandwidth of the closed-loop system ωn.