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 pre filter Gp(s), and determine the step response of the system with the pre filter.