Question: Consider the feedback system shown in Figure P9.28 with the process transfer function given as The controller is the proportional controller Gc(s) = KP (a)

Consider the feedback system shown in Figure P9.28 with the process transfer function given as

The controller is the proportional controller
Gc(s) = KP
(a) Determine a value of KP such that the phase margin is approximately P.M ‰ˆ 45°.
(b) Using the P.M. obtained, predict the percent overshoot of the closed-loop system to a unit step input.
(c) Plot the step response and compare the actual percent overshoot with the predicted percent overshoot.
FIGURE P9.28
A unity feedback system with a proportional controller in the loop.

Consider the feedback system shown in Figure P9.28 with the

G(s) = . s(s + 1) Controller Process + - Eds) Kp Y(s)

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