Example: Sketch the root locus for the system with the characteristic equation of; K(s + 1) 1 + GH(s) = 1 + %3D s(s + 2)(s + 4)² a) Number of finite poles = n = 4. b) Number of finite zeros = m 1. c) Number of asymptotes n- m 3. d) Number of branches or loci equals to the number of finite poles (n) = 4. e) The portion of the real-axis between, 0 and -2, and between, -4 and -oo, lie on the root locus for K> 0. %3D

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Example: Sketch the root locus for the system with the characteristic equation
of;
K(s + 1)
s(s + 2)(s + 4)2
1 + GH(s) = 1 +
%3D
a) Number of finite poles = n = 4.
b) Number of finite zeros = m 1.
c) Number of asymptotes
d) Number of branches or loci equals to the number of finite poles (n) = 4.
e) The portion of the real-axis between, 0 and -2, and between, -4 and -o, lie
on the root locus for K> 0.
%3D
= n - m = 3.
Transcribed Image Text:Example: Sketch the root locus for the system with the characteristic equation of; K(s + 1) s(s + 2)(s + 4)2 1 + GH(s) = 1 + %3D a) Number of finite poles = n = 4. b) Number of finite zeros = m 1. c) Number of asymptotes d) Number of branches or loci equals to the number of finite poles (n) = 4. e) The portion of the real-axis between, 0 and -2, and between, -4 and -o, lie on the root locus for K> 0. %3D = n - m = 3.
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