Figure Q8 shows a plant of transfer function G(s) to be operated inclosed-loop, with unity negative feedback, where the controller is a2simple gain factor K-4, and G(s)=-s² +7s+2RE→ controller U₂ G(s)Figure Q8Y(a) Obtain poles of this closed-loop system and determine if thissystem is stable.(b) Use Routh test to determine range of the controller gain factorK values that would make this closed loop system stable.

The stability of the system needs to be analysed for the closed loop system. The block diagram…

(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.

(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)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

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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