Ex// sketch the root-locus plot of, Consider the negative feedback system shown in Figure for this system G(s) = K(s + 2) , H(s) = 1 s2 2s+3 Find k value for S₁ = −1.67 + j1.7 R(s) K(s+2) 2+2+3 C(s)

Ex// sketch the root-locus plot of, Consider the negative feedback system shown in Figure for this system G(s) = K(s + 2) , H(s) = 1 s2 2s+3 Find k value for S₁ = −1.67 + j1.7 R(s) K(s+2) 2+2+3 C(s)

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

Ex// sketch the root-locus plot of, Consider the negative feedback
system shown in Figure for this system
G(s) =
K(s + 2)
s2
2s+3
,
H(s) = 1
Find k value for Sd = -1.67 + j1.7
R(s)
K(s+2)
2+2+3
C(s)

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Step 1: Summarize the data.

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Step 2: Determine the ange of asymptotes and centroid.

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Step 3: Determine the root locus branches and the imaginary axis crossing points.

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Step 4: Determine the break points.

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Step 5: Determine the angle of departure at the complex open loop poles.

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Step 6: Determine the value of K so that the closed loop poles at s =-1.67+j1.7.

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Step 7: Sketch the root locus plot.

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