A root locus for a unity-feedback system is shown in Fig.Q6. Find: ii.The minimum damping ratio iii.The gain K correspond to = 0.9 iv.The dominant poles correspond to = 1 Imaginary Axis (seconds ¹) 15 12 9 6 3? 0.955 FO:988. -9 -12 0.9 60.988 -15 30 -35 0.955 0.9.. -30 25 -25 0,82.... 20 0.82 0.72. 0.58 0:4 10 0.58 -10 0.72 -20 -15 Real Axis (seconds ¹) 0:2 0:4 0.2 -5 Fig.Q6 02

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A root locus for a unity-feedback system is
shown in Fig.Q6. Find:
ii.The minimum damping ratio
iii.The gain K correspond to = 0.9
iv.The dominant poles correspond to = 1
Axis (seconds)
Imaginary
15
12
9
6
?
-6
0.955
FO:988.
-9
-12
-15
0.9
30
0.988
-35
0.955
0.9..
-30
25
-25
0,82-
20
4.
0.72.
0.82
0.58 0:4 0:2
0.72
-20
-15
Real Axis (seconds)
0.58 0:4 0.2
-10
-5
Fig.Q6
0 2
Transcribed Image Text:A root locus for a unity-feedback system is shown in Fig.Q6. Find: ii.The minimum damping ratio iii.The gain K correspond to = 0.9 iv.The dominant poles correspond to = 1 Axis (seconds) Imaginary 15 12 9 6 ? -6 0.955 FO:988. -9 -12 -15 0.9 30 0.988 -35 0.955 0.9.. -30 25 -25 0,82- 20 4. 0.72. 0.82 0.58 0:4 0:2 0.72 -20 -15 Real Axis (seconds) 0.58 0:4 0.2 -10 -5 Fig.Q6 0 2
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