1) Consider the following characteristic equation: s4 + 2s3 + (4 + K)s² + 9s + 25 = 0 Using the Routh stability criterion, determine the range of K for stability? (( Ans: K> 6.056)) OFE

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۱۲:۲ ص
for stability? (( Ans: K> 6.020CAL E
NT O NG
lIı. Classroom
HW No Seven.pdf
University of Anbar
College of Engineering
Dept. of Electrical Engineering
Control Theory I
Assist. Prof. Dr. Yousif Al Mashhadany
2020 - 2021
Homework No. Seven
1) Consider the following characteristic equation:
s4 + 2s3 + (4 + K)s² + 9s + 25 = 0
%3D
Using the Routh stability criterion, determine the range of K
for stability? ( Ans: K> 6.056))
OF E4E
2) Consider the closed-loop system shown in Figure 1, If K/J=4,
what is the value of Kh will yield the damping ratio to be
0.6? (( Ans: Kh = 0,6 )) N m
R(s)
C(s)
K
Figure 1
3) Consider the closed-loop system shown in Figure 2.
Determine the range of K for stability. Assume that K>0.
(( Ans: 12.5>k>0))
R(s)
Cs)
s-2
K
|(s+ 1)(s² + 6s + 25)
Figure 2
1
AL ENG
Transcribed Image Text:۱۲:۲ ص for stability? (( Ans: K> 6.020CAL E NT O NG lIı. Classroom HW No Seven.pdf University of Anbar College of Engineering Dept. of Electrical Engineering Control Theory I Assist. Prof. Dr. Yousif Al Mashhadany 2020 - 2021 Homework No. Seven 1) Consider the following characteristic equation: s4 + 2s3 + (4 + K)s² + 9s + 25 = 0 %3D Using the Routh stability criterion, determine the range of K for stability? ( Ans: K> 6.056)) OF E4E 2) Consider the closed-loop system shown in Figure 1, If K/J=4, what is the value of Kh will yield the damping ratio to be 0.6? (( Ans: Kh = 0,6 )) N m R(s) C(s) K Figure 1 3) Consider the closed-loop system shown in Figure 2. Determine the range of K for stability. Assume that K>0. (( Ans: 12.5>k>0)) R(s) Cs) s-2 K |(s+ 1)(s² + 6s + 25) Figure 2 1 AL ENG
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