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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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