4. The open-loop transfer function of a unity feedback system is G(s)H(s) = 10(0.05s + 1)/[(s + 1)(0.5s + 1(0.1s + 1)]. Determine the gain margin, phase margin, and gain crossover frequency. Comment on the stability of the closed loop system. Ans. Gain crossover frequency = 4.5 rad/sec, phase crossover frequency = 9.4 rad/sec, gain margin = 14 dB, phase margin = 45° 6. Find the transfer function of a system having the Bode plot (magnitude) shown in Figure 1. dB nu of abnom 0 = 1 0 = 10 w = 100 log o - 20DB/decade 06- -20DB/decade -401B/decade (b) A ympto low 12 /dele s+100 der junction of a unity ledb le (d) Ans. s(s+10) noitanul srdo uminim 20

4. The open-loop transfer function of a unity feedback system is G(s)H(s) = 10(0.05s + 1)/[(s + 1)(0.5s + 1(0.1s + 1)]. Determine the gain margin, phase margin, and gain crossover frequency. Comment on the stability of the closed loop system. Ans. Gain crossover frequency = 4.5 rad/sec, phase crossover frequency = 9.4 rad/sec, gain margin = 14 dB, phase margin = 45° 6. Find the transfer function of a system having the Bode plot (magnitude) shown in Figure 1. dB nu of abnom 0 = 1 0 = 10 w = 100 log o - 20DB/decade 06- -20DB/decade -401B/decade (b) A ympto low 12 /dele s+100 der junction of a unity ledb le (d) Ans. s(s+10) noitanul srdo uminim 20

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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The margins of stability for K = 12 of the unit feedback system shown in the figure are given below. Phase crossover frequency : Wfc = 2rad/s Gain crossover frequency: wgc = 1.4rad/s Phase Margin = 16.8 degree Amplitude Margin Kg = 6dB (NOTE: Use 3 decimal places in your operations.) a) Calculate the amplitude margin for K 60. b) Calculate the point where the KG(jw) Nyquist Diagram intersects the negative real axis for K 60.
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