Consider the pole-zero plots shown below. Without doing any calculations and using only the essential properties of the root-locus method, sketch the approximate root locus pattern obtained with a feedback control system for K > 0.

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1.
Consider the pole-zero plots shown below. Without doing any calculations and using only the
essential properties of the root-locus method, sketch the approximate root locus pattern obtained with a feedback
control system for K > 0.
1
2
0.8
1.5
0.6
1
0.4
0.5
0.2
-0.2
-0.5
-0.4
-1
-0.6
-1.5
-0.8
-1
-1
-2
-3
-0.5
0.5
1
-2.5
-2
-1.5
-1
-0.5
0.5
1
Real Axis
Real Axis
(a)
(b)
15
4
10
3
2
5
1
-5
-10
-4
-5
-7
-15
-6
-6
-5
-4
-3
-2
-1
1
-5
-4
-3
-2
-1
1
Real Axis
Real Axis
(c)
(d)
Imaginary Axis
Imaginary Axis
Imaginary Axis
Imaginary Axis
Transcribed Image Text:1. Consider the pole-zero plots shown below. Without doing any calculations and using only the essential properties of the root-locus method, sketch the approximate root locus pattern obtained with a feedback control system for K > 0. 1 2 0.8 1.5 0.6 1 0.4 0.5 0.2 -0.2 -0.5 -0.4 -1 -0.6 -1.5 -0.8 -1 -1 -2 -3 -0.5 0.5 1 -2.5 -2 -1.5 -1 -0.5 0.5 1 Real Axis Real Axis (a) (b) 15 4 10 3 2 5 1 -5 -10 -4 -5 -7 -15 -6 -6 -5 -4 -3 -2 -1 1 -5 -4 -3 -2 -1 1 Real Axis Real Axis (c) (d) Imaginary Axis Imaginary Axis Imaginary Axis Imaginary Axis
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