a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For the system with open loop transfer function given by
R(s)
K
s(s + 1) (s² + 4s +13)
where K is the feedback gain. Sketch the root locus
a) How many asymptotes are there for this system's root locus?
what are asymptote angles?
What is the center of asymptotes?
C(s)
b) Does the root locus cross the imaginary axis?
where and what is the value of K at that point?
c) Is there any break away, break in points? What is the approximate values of these
points?
Transcribed Image Text:For the system with open loop transfer function given by R(s) K s(s + 1) (s² + 4s +13) where K is the feedback gain. Sketch the root locus a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? C(s) b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?
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