Consider the unit-feedback system shown in Figure 1, where G(s) = (s2-2s+2) Sketch s(s+1)(s+2) the root locus diagram for 0 < K < co by following the steps listed below: a) Find the open loop poles and zeros. b) Find the root-locus branches on the real axis. c) Find the number of asymptotes, the angles and the intersection point of the asymptotes. d) Find the real-axis break-away point(s). e) Find the arrival angles to the complex zeros. f) Find the intersection points with the jo-axis, and the corresponding K values. g) Sketch the root locus diagram. R(s) Y(s) K G(s) Figure 1 Hint: Given G(s) = (s²-2s+2) s(s+1)(s+2)' the roots of (G(s)) ds = 0 are $1,2,3,4 = -0.3281, 3.4972, -1.4972, 2.3281.
Consider the unit-feedback system shown in Figure 1, where G(s) = (s2-2s+2) Sketch s(s+1)(s+2) the root locus diagram for 0 < K < co by following the steps listed below: a) Find the open loop poles and zeros. b) Find the root-locus branches on the real axis. c) Find the number of asymptotes, the angles and the intersection point of the asymptotes. d) Find the real-axis break-away point(s). e) Find the arrival angles to the complex zeros. f) Find the intersection points with the jo-axis, and the corresponding K values. g) Sketch the root locus diagram. R(s) Y(s) K G(s) Figure 1 Hint: Given G(s) = (s²-2s+2) s(s+1)(s+2)' the roots of (G(s)) ds = 0 are $1,2,3,4 = -0.3281, 3.4972, -1.4972, 2.3281.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:Consider the unit-feedback system shown in Figure 1, where G(s) =
(s2-2s+2) Sketch
s(s+1)(s+2)
the root locus diagram for 0 < K < co by following the steps listed below:
a) Find the open loop poles and zeros.
b) Find the root-locus branches on the real axis.
c) Find the number of asymptotes, the angles and the intersection point of the asymptotes.
d) Find the real-axis break-away point(s).
e) Find the arrival angles to the complex zeros.
f) Find the intersection points with the jo-axis, and the corresponding K values.
g) Sketch the root locus diagram.
R(s)
Y(s)
K
G(s)
Figure 1
Hint:
Given G(s) =
(s²-2s+2)
s(s+1)(s+2)'
the roots of (G(s))
ds
= 0 are $1,2,3,4 = -0.3281, 3.4972, -1.4972, 2.3281.
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