A root locus for a unity-feedback system is shown in Fig.Q6. Find: i. G(s)H(s) ii.The minimum damping ratio iii.The gain K correspond to = 0.9 iv.The dominant poles correspond to = 1 v.The gain K so that the system is unstable.

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A root locus for a unity-feedback system is
shown in Fig.Q6. Find:
i. G(s)H(s)
ii. The minimum damping ratio
iii.The gain K correspond to
0.9
iv.The dominant poles correspond to = 1
v.The gain K so that the system is unstable.
Imaginary Axis (seconds ¹)
15
12
9
6
<?
-9
0.955
-12
-15
0.9
0.988.
30
0.988
-35
0.955
0.9.
-30
25
-25
0,82
20
0.72.
0.58
10
0:4 0:2
0.82-
0.72 0.58
-20
-15
-10
Real Axis (seconds¹)
0:4 0.2
-5
Fig.Q6
0 2
Transcribed Image Text:A root locus for a unity-feedback system is shown in Fig.Q6. Find: i. G(s)H(s) ii. The minimum damping ratio iii.The gain K correspond to 0.9 iv.The dominant poles correspond to = 1 v.The gain K so that the system is unstable. Imaginary Axis (seconds ¹) 15 12 9 6 <? -9 0.955 -12 -15 0.9 0.988. 30 0.988 -35 0.955 0.9. -30 25 -25 0,82 20 0.72. 0.58 10 0:4 0:2 0.82- 0.72 0.58 -20 -15 -10 Real Axis (seconds¹) 0:4 0.2 -5 Fig.Q6 0 2
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