A unity feedback system is shown in Figure Ql.1. The root locus of this system is depicted inFigure Q1.2.R(s)C(s)G(s)Figure Q1.1a) From the given root locus, determine the following:(i) The forward transfer function, G(s) as in Figure Q1.1.(ii) The range of gain K if the system operates in the underdamped region.b) If the system is operated at a damping ratio of 0.6, identify the following:(i) The dominant closed-loop poles for this case.(ii) The operational gain, K at the dominant closed-loop poles.(ii) Verify the validity of the second order approximation.(iv) For a step input response, determine the setting time, Ts, the peak time,Tp, and the steady state error, ess for this condition.Root Locus-6Figure Q1.2

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Answered: A unity feedback system is shown in…

A unity feedback system is shown in Figure Q1.1. The root locus of this system is depicted in Figure Q1.2. R(s) C(s) G(s)

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

A unity feedback system is shown in Figure Ql.1. The root locus of this system is depicted in
Figure Q1.2.
R(s)
C(s)
G(s)
Figure Q1.1
a) From the given root locus, determine the following:
(i) The forward transfer function, G(s) as in Figure Q1.1.
(ii) The range of gain K if the system operates in the underdamped region.
b) If the system is operated at a damping ratio of 0.6, identify the following:
(i) The dominant closed-loop poles for this case.
(ii) The operational gain, K at the dominant closed-loop poles.
(ii) Verify the validity of the second order approximation.
(iv) For a step input response, determine the setting time, Ts, the peak time,
Tp, and the steady state error, ess for this condition.
Root Locus
-6
Figure Q1.2

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