R(s)C(s)G(s)FIGURE P8.3 7. Sketch the root locus of the unity feedback systemshown in Figure P8.3, whereK(s +3)(s+5)(s+1)(s – 7)and find the break-in and breakaway points. [Sec-G(s) =tion: 8.5]

ROOT LOCUS: The root locus technique is used to determine the stability of a closed-loop control…

Answered: 7. Sketch the root locus of the unity…

7. Sketch the root locus of the unity feedback system shown in Figure P8.3, where G(s) = K(s+3)(s+ 5) (s+1)(s – 7) and find the break-in and breakaway points. [Sec- tion: 8.5]

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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Concept explainers

Operational Amplifier

An operational amplifier also called op amp is an integrated circuit or analog circuit that takes input as a differential voltage and produces output as a single-ended voltage. It is an IC that can amplify weak electric signals.An op amp has one output pin and two input pins. The basic role of an opamp is to amplify the voltage difference between the two input voltages. It is also used in filtering or to perform mathematical operations or in signal conditioning.

Question

7. Sketch the root locus of the unity feedback system
shown in Figure P8.3, where
K(s +3)(s+5)
(s+1)(s – 7)
and find the break-in and breakaway points. [Sec-
G(s) =
tion: 8.5]

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Problem 8. For the feedback control system given in the figure on the right, R(s) (a) Find the closed-loop transfer function, C(s)/R(s). (b) Determine the system's stability range for gain Kusing Routh-Hurwitz criterion. K 1 s(s+ 2)(s + 5) S C(s) (c) What is the type of the system? (Hint: you need to convert the system to a simple unity feedback.) (d) Sketch the root-locus in Matlab (hint: you need to use the open-loop transfer function with K = 1) and validate the stability region you found in (b (e) Plot the step responses up to 10 seconds for the input of 1.5u(t) when the gain K = 22 and has the value that makes the system marginally stable on the same plane. (f) Calculate the steady-state error for the input step of 1.5u(t) for K = 22. Confirm the result with the related plot you obtained in (e). (g) Calculate the steady-state error now for an input ramp of 1.5tu(t) for K = 22 and plot this response together with the input function up to 10 seconds in order to indicate the…
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