2000 Gp(s) : (s + 20)(s + 100)' R(s) + E(s) V(s) C(s) G(s) G(s) Design a PD controller so that the peak time of the PD-compensated system is reduced by a factor of 1.5 from the peak time of the...

Extracted text: 2000 Gp(s) : (s + 20)(s + 100)' R(s) + E(s) V(s) C(s) G(s) G(s) Design a PD controller so that the peak time of the PD-compensated system is reduced by a factor of 1.5 from the peak time of the gain-compensated system, and the damping ratio remains at 0.8. Determine the location of the compensator zero, calculate the corresponding overall gain KPDand calculate the resulting steady-state step error. State the compensator transfer function Gc(s)=KpD(s+zc).