1. Use the Nyquist stability criterion to determine the ranges of K > 0 (if any) for which theclosed-loop system is stable. A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustablereal-valued gain K in cascade with a transfer function G(s), the loop gain KG(s) for some fixed K > 0known to generate the asymptotic Bode plot description shown in Figure 4.Magnitude (dB)(deg)Phase60402080-20-40-60-8090450-45-90-135-180-22510440 100 400 1000Frequency (rad/sec)Figure 4: Asymptotic Approximation of Bode Plot for KG(s) for some fixed K > 00.010.1 0.4 110000

For the system represented by the Bode plots, we need to determine the range of K>0 for which…

Answered: Use the Nyquist stability criterion to…

Use the Nyquist stability criterion to determine the ranges of K > 0 (if any) for which the closed-loop system is stable.

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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Since G(s) is the transfer function of the system, draw the root locus of the closed-loop system with negative unit feedback below, clearly stating each step. (Root locus plots drawn using any program such as Matlab etc. will not be considered)
(Q1)An uncompensated unity feedback system with certain deficiencies has no zeroes and poles at -1, -2 and -5. Answer the following questions based on the above description of the system Determine using an apt technique, the gain of the system at damping ratio 0.45 Include a series compensator to the uncompensated system with zero at -0.0111 and pole at -0.01.
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Question 02: A system has a gain k in series with an open-loop transfer function given by G(s): a) Check, by means of the Routh-Hurwitz method, the range of values of k that makes the system stable. b) Also using the Routh-Hurwitz method, show what value of gain k makes the system response undamped. Calculate the value of the dominant poles for this case.
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A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
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