(a) Obtain poles of this closed-loop system and determine if this system is stable. (b) Use Routh test to determine range of the controller gain factor K values that would make this closed loop system stable.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Figure Q8 shows a plant of transfer function G(s) to be operated in
closed-loop, with unity negative feedback, where the controller is a
2
simple gain factor K-4, and G(s)=-
s² +7s+2
R
E
→ controller U₂ G(s)
Figure Q8
Y
(a) Obtain poles of this closed-loop system and determine if this
system is stable.
(b) Use Routh test to determine range of the controller gain factor
K values that would make this closed loop system stable.
Transcribed Image Text:Figure Q8 shows a plant of transfer function G(s) to be operated in closed-loop, with unity negative feedback, where the controller is a 2 simple gain factor K-4, and G(s)=- s² +7s+2 R E → controller U₂ G(s) Figure Q8 Y (a) Obtain poles of this closed-loop system and determine if this system is stable. (b) Use Routh test to determine range of the controller gain factor K values that would make this closed loop system stable.
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