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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)

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)
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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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)
Transcribed Image Text: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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