Q1] a) Design a control system such that the resulting closed-loop, unity feedback system meets the following specifications: i. Peak time tp ≤ 0.2π. ii. 2% settling time for step-input of ts ≤ 8 second. Maximum overshoot equal or less than e w²/1 Shade the region on = Given that the closed loop transfer function T(s): s²+2{wns+w the complex plane (Re- Im axes) within which the roots of the characteristic equation should lie for all these conditions to be satisfied.
Q1] a) Design a control system such that the resulting closed-loop, unity feedback system meets the following specifications: i. Peak time tp ≤ 0.2π. ii. 2% settling time for step-input of ts ≤ 8 second. Maximum overshoot equal or less than e w²/1 Shade the region on = Given that the closed loop transfer function T(s): s²+2{wns+w the complex plane (Re- Im axes) within which the roots of the characteristic equation should lie for all these conditions to be satisfied.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![Q1]
a) Design a control system such that the resulting closed-loop, unity feedback system
meets the following specifications:
i.
Peak time tp ≤ 0.2TT.
ii.
2% settling time for step-input of ts ≤ 8 second.
Maximum overshoot equal or less than e
iii.
w71
Shade the region on
.
Given that the closed loop transfer function T(s) = s²+2{ws+²
the complex plane (Re- Im axes) within which the roots of the characteristic equation
should lie for all these conditions to be satisfied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01ebc4a5-cc7a-4fb5-aa0b-3fc88c0d4c78%2F935104c8-fba7-4b4d-aef3-25c71d7bd56b%2Fme3kthh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1]
a) Design a control system such that the resulting closed-loop, unity feedback system
meets the following specifications:
i.
Peak time tp ≤ 0.2TT.
ii.
2% settling time for step-input of ts ≤ 8 second.
Maximum overshoot equal or less than e
iii.
w71
Shade the region on
.
Given that the closed loop transfer function T(s) = s²+2{ws+²
the complex plane (Re- Im axes) within which the roots of the characteristic equation
should lie for all these conditions to be satisfied.
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