For system with K(s* +24s³ +238s² +1180s+2400) L(s s²(s³ +17s² +80s+100) The root locus can be drawn as the following. Determine K such that a set of complex roots are located at -4.38±7.59j

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For system with
K(s4 +24s3 +238s² +1180s + 2400)
L(s) =
s²(s³ +17s² +80s+100)
The root locus can be drawn as the following. Determine K such that a set
of complex roots are located at -4.38t7.59j
白0QQ介
Root Locus
10
0.9
0.82
0.72
0.58
0.4
0.2
8
6 -0.955
-5.0+ 5.0i
0.988
17.5
15
12.5
10
7.5
2.5
-8
-6
0.988
-6 0.955
-8-
Pole: -4.38 - 7.59i
Damping: 0.5
Overshoot (%): 16.3
0.9
0.82
0.72
0.58
-10
-20
-15
-10
-5 Frequency (rad/s): 8.76
Real Axis (seconds)
Imaginary Axis (seconds )
4.
Transcribed Image Text:For system with K(s4 +24s3 +238s² +1180s + 2400) L(s) = s²(s³ +17s² +80s+100) The root locus can be drawn as the following. Determine K such that a set of complex roots are located at -4.38t7.59j 白0QQ介 Root Locus 10 0.9 0.82 0.72 0.58 0.4 0.2 8 6 -0.955 -5.0+ 5.0i 0.988 17.5 15 12.5 10 7.5 2.5 -8 -6 0.988 -6 0.955 -8- Pole: -4.38 - 7.59i Damping: 0.5 Overshoot (%): 16.3 0.9 0.82 0.72 0.58 -10 -20 -15 -10 -5 Frequency (rad/s): 8.76 Real Axis (seconds) Imaginary Axis (seconds ) 4.
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