3) A plant with the given transfer functoin Gp(s) is going to be controlled by a P-controller of gain K by using unity feedback. If the system subjected to a unit ramp input: 1. Gp(s) s(0.02s + 1) a. What should be the proportional gain K in order to have a non-oscillatory closed loop response with steady state error less than 0.1. b. Find the stability margin "a" of the closed loop system when K=12.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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3) A plant with the given transfer functoin Gp(s) is going to be controlled by a P-controller of gain K by
using unity feedback. If the system subjected to a unit ramp input:
1.
Gp(s) :
s(0.02s + 1)
a. What should be the proportional gain K in order to have a non-oscillatory closed loop response with
steady state error less than 0.1.
b. Find the stability margin "a" of the closed loop system when K=12 .
Transcribed Image Text:3) A plant with the given transfer functoin Gp(s) is going to be controlled by a P-controller of gain K by using unity feedback. If the system subjected to a unit ramp input: 1. Gp(s) : s(0.02s + 1) a. What should be the proportional gain K in order to have a non-oscillatory closed loop response with steady state error less than 0.1. b. Find the stability margin "a" of the closed loop system when K=12 .
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