Q3] Sketch the root Locus of the unity-feedback system whose open-loop transfer function is given by: G(s)H(s) K(S+1) S(S+2)(S+3)(S+5) ' You should apply the Rules of constructing the root locus which are: i. Find poles and zeros of the open-loop transfer function and map them to the s- plane (graph paper is attached with question paper) ii. Locate segments of root loci on the real axis of S-plane. Select number of asymptotes and their angles. iv. Find breakaway/break-in points. V. Crossing of root locus with jw - axis and the corresponding value of gain and the frequency of oscillation of the system. vi. The range of gain K such that the system is stable. Hint: In this question the breakaway/break-in points are among the following points: -4.18,-2.42,-0.69 ±j0.707.
Q3] Sketch the root Locus of the unity-feedback system whose open-loop transfer function is given by: G(s)H(s) K(S+1) S(S+2)(S+3)(S+5) ' You should apply the Rules of constructing the root locus which are: i. Find poles and zeros of the open-loop transfer function and map them to the s- plane (graph paper is attached with question paper) ii. Locate segments of root loci on the real axis of S-plane. Select number of asymptotes and their angles. iv. Find breakaway/break-in points. V. Crossing of root locus with jw - axis and the corresponding value of gain and the frequency of oscillation of the system. vi. The range of gain K such that the system is stable. Hint: In this question the breakaway/break-in points are among the following points: -4.18,-2.42,-0.69 ±j0.707.
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
![Q3]
Sketch the root Locus of the unity-feedback system whose open-loop transfer function is
given by:
G(s)H(s)
K(S+1)
S(S+2)(S+3)(S+5) '
You should apply the Rules of constructing the root locus which are:
i.
Find poles and zeros of the open-loop transfer function and map them to the s-
plane (graph paper is attached with question paper)
ii.
Locate segments of root loci on the real axis of S-plane.
iii.
Select number of asymptotes and their angles.
iv.
Find breakaway/break-in points.
V.
Crossing of root locus with jw - axis and the corresponding value of gain and
the frequency of oscillation of the system.
vi.
The range of gain K such that the system is stable.
Hint: In this question the breakaway/break-in points are among the following
points: -4.18,-2.42,-0.69 ±j0.707.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01ebc4a5-cc7a-4fb5-aa0b-3fc88c0d4c78%2F343077c7-5757-4b5d-ade6-284821e094cd%2F1anv5q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3]
Sketch the root Locus of the unity-feedback system whose open-loop transfer function is
given by:
G(s)H(s)
K(S+1)
S(S+2)(S+3)(S+5) '
You should apply the Rules of constructing the root locus which are:
i.
Find poles and zeros of the open-loop transfer function and map them to the s-
plane (graph paper is attached with question paper)
ii.
Locate segments of root loci on the real axis of S-plane.
iii.
Select number of asymptotes and their angles.
iv.
Find breakaway/break-in points.
V.
Crossing of root locus with jw - axis and the corresponding value of gain and
the frequency of oscillation of the system.
vi.
The range of gain K such that the system is stable.
Hint: In this question the breakaway/break-in points are among the following
points: -4.18,-2.42,-0.69 ±j0.707.
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