Q3] Sketch the root Locus of the unity-feedback system whose open-loop transfer function is given by: G(s)H(s) K(S+1) S(S+2)(S+3)(S+5) ' You should apply the Rules of constructing the root locus which are: i. Find poles and zeros of the open-loop transfer function and map them to the s- plane (graph paper is attached with question paper) ii. Locate segments of root loci on the real axis of S-plane. Select number of asymptotes and their angles. iv. Find breakaway/break-in points. V. Crossing of root locus with jw - axis and the corresponding value of gain and the frequency of oscillation of the system. vi. The range of gain K such that the system is stable. Hint: In this question the breakaway/break-in points are among the following points: -4.18,-2.42,-0.69 ±j0.707.

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...
icon
Related questions
Question
Q3]
Sketch the root Locus of the unity-feedback system whose open-loop transfer function is
given by:
G(s)H(s)
K(S+1)
S(S+2)(S+3)(S+5) '
You should apply the Rules of constructing the root locus which are:
i.
Find poles and zeros of the open-loop transfer function and map them to the s-
plane (graph paper is attached with question paper)
ii.
Locate segments of root loci on the real axis of S-plane.
iii.
Select number of asymptotes and their angles.
iv.
Find breakaway/break-in points.
V.
Crossing of root locus with jw - axis and the corresponding value of gain and
the frequency of oscillation of the system.
vi.
The range of gain K such that the system is stable.
Hint: In this question the breakaway/break-in points are among the following
points: -4.18,-2.42,-0.69 ±j0.707.
Transcribed Image Text:Q3] Sketch the root Locus of the unity-feedback system whose open-loop transfer function is given by: G(s)H(s) K(S+1) S(S+2)(S+3)(S+5) ' You should apply the Rules of constructing the root locus which are: i. Find poles and zeros of the open-loop transfer function and map them to the s- plane (graph paper is attached with question paper) ii. Locate segments of root loci on the real axis of S-plane. iii. Select number of asymptotes and their angles. iv. Find breakaway/break-in points. V. Crossing of root locus with jw - axis and the corresponding value of gain and the frequency of oscillation of the system. vi. The range of gain K such that the system is stable. Hint: In this question the breakaway/break-in points are among the following points: -4.18,-2.42,-0.69 ±j0.707.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Routh Hurwitz Criteria
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,