Question: An engineering design team is attempting to control a process shown in Figure P10.27. It is agreed that a system with a phase margin of
An engineering design team is attempting to control a process shown in Figure P10.27. It is agreed that a system with a phase margin of P.M. = 50° is acceptable.
Determine Gc1s2.
First, let Gc1s2 = K and find
(a) a value of K that yields a phase margin of P.M. = 50° and the system step response for this value of K.
(b) Determine the settling time, percent overshoot, and the peak time.

(c) Obtain the system closed-loop frequency response, and determine Mp v and the bandwidth.
The team has decided to let

the closed-loop frequency response. Prepare a table contrasting the results of the two selected controllers for Gc1s2 by comparing settling time (with a 2%
criterion), percent overshoot, peak time, Mp v, and bandwidth.
Controller Process 10 R(s) G(s) Y(s) s(s+10) FIGURE P10.27 Controller design.
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