A unity feedback system is shown in Figure AP10.5. We want the step response of the system to have an overshoot of about 10% and a settling time (with a 2% criterion) of about 4 seconds.
(a) Design a lead compensator Gc (s) to achieve the dominant roots desired,
(b) Determine the step response of the system when Gp (s) = 1.
(c) Select a prefilter Gp (s), and determine the step response of the system with the prefilter.