2000Gp(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 isreduced by a factor of 1.5 from the peak time of the gain-compensated system, andthe damping ratio remains at 0.8. Determine the location of the compensator zero,calculate the corresponding overall gain KPDand calculate the resulting steady-statestep error. State the compensator transfer function Gc(s)=KpD(s+zc).

Given system closed loop system shown Gp(s)=2000s+20s+100Gc(s)=KPDs+Zc

Answered: 2000 Gp(s) (s + 20)(s + 100)" R(s) +…

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2000 Gp(s) (s + 20)(s + 100)" R(s) + E(s) V(s) C(s) G(s) G(s)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

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).

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