Question: A system has a process function with K = 10 and negative unity feedback with a PD compensator Gc(s) = Kp + KDs. The objective

A system has a process function

with K = 10 and negative unity feedback with a PD compensator
Gc(s) = Kp + KDs.
The objective is to design Gc(s) so that the overshoot to a step is less than 5% and the settling time (with a 2% criterion) is less than 3 sec. Find a suitable Gc(s). What is the effect of varying the process gain 5 ‰¤ K ‰¤ 20 on the percent overshoot and settling time?

K G(s) s(s + 3)(s + 10)

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