Q:40) 3. Consider the following feedback system, which contains a time delay.R(s) +Y (s)G(s)The system G(s) is open loop stable. The Bode plot of G(s) is as follows.-20--40--0-1010°10'-100--150--200--2501010°Frequency (rad'sec)10'(a) Find the phase and gain margins if Ta = 0.(b) What is the maximum value for Ta that can be tolerated before the closed loop system becomesunstable?(c) If the gain of G(s) is increased by a factor of 3.16, will a 10% increase in the value obtained inpart (b) cause the system to go unstable. Explain your answer.(Bep) eseudMagnitude (dB)

Answered: Image /qna-images/answer/a26d14ff-a26e-4250-8b37-8c443cab258a.jpg

Answered: Consider the following feedback system,…

Consider the following feedback system, which contains a time delay. R(s) Y (s) G(s) e system G(s) is open loop stable. The Bode plot of G(s) is as follows. -40 -80 10 10° 10 Magnitude (dB)

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

Q:40)

3. Consider the following feedback system, which contains a time delay.
R(s) +
Y (s)
G(s)
The system G(s) is open loop stable. The Bode plot of G(s) is as follows.
-20-
-40-
-0-
10
10°
10'
-100-
-150-
-200-
-250
10
10°
Frequency (rad'sec)
10'
(a) Find the phase and gain margins if Ta = 0.
(b) What is the maximum value for Ta that can be tolerated before the closed loop system becomes
unstable?
(c) If the gain of G(s) is increased by a factor of 3.16, will a 10% increase in the value obtained in
part (b) cause the system to go unstable. Explain your answer.
(Bep) eseud
Magnitude (dB)

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