(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.

(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.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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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