Q3]Sketch the root Locus of the unity-feedback system whose open-loop transfer function isgiven 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 andthe 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 followingpoints: -4.18,-2.42,-0.69 ±j0.707.

Given An open loop transfer function. We need to determine the No of poles and zeroes,locate…

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.

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