Open App

Electrical Engineering (EE) Exam > Electrical Engineering (EE) Notes > PPT - Root Locus

PPT - Root Locus - Electrical Engineering (EE) PDF Download

Download, print and study this document offline

Please wait while the PDF view is loading

 Page 1


1
Root locus
Page 2


1
Root locus
2
Poles and zeros
) ( ) )( (
) ( ) )( (
) (
2 1
2 1
n
m
p s p s p s
z s z s z s k
s F
- - -
- - -
=
L
L
n
m
p p p
z z z
L
L
, ,
, ,
2 1
2 1 zeros
poles
axis - Re
axis - Im
pole
zero
Page 3


1
Root locus
2
Poles and zeros
) ( ) )( (
) ( ) )( (
) (
2 1
2 1
n
m
p s p s p s
z s z s z s k
s F
- - -
- - -
=
L
L
n
m
p p p
z z z
L
L
, ,
, ,
2 1
2 1 zeros
poles
axis - Re
axis - Im
pole
zero
3
2
2
2
) (
2
n n
n
s s
s T
w zw
w
+ +
=
Closed-loop transfer function :
axis - Re
axis - Im
2
1 z w -
n
j
n
zw -
n
w
q
% 100 . .
4
1
cos
2
1
2
´ =
=
-
=
=
-
-
z
zp
zw
z w
p
z q
e o m
T
T
n
s
n
p
s
w j
) cos 1 sin(
1
1 ) (
1 2
2
x x w
x
xw
-
-
+ -
-
- = t
e
t y
n
t
n
Page 4


1
Root locus
2
Poles and zeros
) ( ) )( (
) ( ) )( (
) (
2 1
2 1
n
m
p s p s p s
z s z s z s k
s F
- - -
- - -
=
L
L
n
m
p p p
z z z
L
L
, ,
, ,
2 1
2 1 zeros
poles
axis - Re
axis - Im
pole
zero
3
2
2
2
) (
2
n n
n
s s
s T
w zw
w
+ +
=
Closed-loop transfer function :
axis - Re
axis - Im
2
1 z w -
n
j
n
zw -
n
w
q
% 100 . .
4
1
cos
2
1
2
´ =
=
-
=
=
-
-
z
zp
zw
z w
p
z q
e o m
T
T
n
s
n
p
s
w j
) cos 1 sin(
1
1 ) (
1 2
2
x x w
x
xw
-
-
+ -
-
- = t
e
t y
n
t
n
4
s
w j
1
p
2
p
3
p
3 2 1
1 2 3
3 2 1
3 2 1
3 2 1
3 2 1
. . . . . .
s s s
n n n
p p p
T T T
s o s o s o
T T T
= = Þ
Þ
Þ
Þ
w w w
z z z
q q q
f f
p p
f f
f f
p p
n
zw -
 -
2
1 z w
n
j
Page 5


1
Root locus
2
Poles and zeros
) ( ) )( (
) ( ) )( (
) (
2 1
2 1
n
m
p s p s p s
z s z s z s k
s F
- - -
- - -
=
L
L
n
m
p p p
z z z
L
L
, ,
, ,
2 1
2 1 zeros
poles
axis - Re
axis - Im
pole
zero
3
2
2
2
) (
2
n n
n
s s
s T
w zw
w
+ +
=
Closed-loop transfer function :
axis - Re
axis - Im
2
1 z w -
n
j
n
zw -
n
w
q
% 100 . .
4
1
cos
2
1
2
´ =
=
-
=
=
-
-
z
zp
zw
z w
p
z q
e o m
T
T
n
s
n
p
s
w j
) cos 1 sin(
1
1 ) (
1 2
2
x x w
x
xw
-
-
+ -
-
- = t
e
t y
n
t
n
4
s
w j
1
p
2
p
3
p
3 2 1
1 2 3
3 2 1
3 2 1
3 2 1
3 2 1
. . . . . .
s s s
n n n
p p p
T T T
s o s o s o
T T T
= = Þ
Þ
Þ
Þ
w w w
z z z
q q q
f f
p p
f f
f f
p p
n
zw -
 -
2
1 z w
n
j
5
s
w j
1
p
2
p
3
p
3 2 1
1 2 3
3 2 1
3 2 1
3 2 1
3 2 1
. . . . . .
s s s
n n n
p p p
T T T
T T T
s o s o s o
p p
f f
f f
p p
f f
Þ
= = Þ
Þ
Þ
w w w
z z z
q q q

n
zw
¯ Þ ¯Þ
 Þ -
¯ Þ
. . ) (
1 ) (
) (
2
s o iii
T ii
T i
p n
s n
z q
z w
zw

FAQs on PPT - Root Locus - Electrical Engineering (EE)

1. What is the concept of the root locus in control systems?

Ans. The root locus is a graphical representation of the possible locations of the closed-loop poles of a control system as a specific parameter, usually the gain, is varied. It helps in analyzing the stability and transient response of the system.

2. How do you determine the stability of a control system using the root locus?

Ans. The stability of a control system can be determined by examining the root locus. If all the poles of the system lie within the left half of the complex plane, the system is stable. If any poles are present in the right half of the plane, the system is unstable.

3. What does a root locus plot reveal about a control system?

Ans. A root locus plot reveals the behavior of the closed-loop poles of a control system as a parameter is varied. It provides information about the stability, transient response, and the effect of changing the system's parameters on the overall performance.

4. How can the root locus plot help in designing a control system?

Ans. The root locus plot can help in designing a control system by providing insights into the system's stability and performance characteristics. Engineers can use the plot to select appropriate controller gains to achieve desired system behavior such as faster response time, improved stability, or reduced overshoot.

5. Can the root locus plot be used to analyze non-linear control systems?

Ans. No, the root locus plot is primarily used for analyzing linear control systems. It assumes linearity and time-invariance of the system. Non-linear control systems require different analysis techniques such as phase portraits or numerical simulations to study their behavior.

Related Exams

Electrical Engineering (EE) Electronics and Communication Engineering (ECE)

Are you preparing for Electrical Engineering (EE) Exam? Then you should check out the best video lectures, notes, free mock test series, crash course and much more provided by EduRev. You also get your detailed analysis and report cards along with 24x7 doubt solving for you to excel in Electrical Engineering (EE) exam. So join EduRev now and revolutionise the way you learn!

Download App for Free

About this Document

4.61/5 Rating

Mar 25, 2025 Last updated

Document Description: PPT - Root Locus for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The notes and questions for PPT - Root Locus have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about PPT - Root Locus covers topics like and PPT - Root Locus Example, for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for PPT - Root Locus.

Introduction of PPT - Root Locus in English is available as part of our Electrical Engineering (EE) preparation & PPT - Root Locus in Hindi for Electrical Engineering (EE) courses. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Electrical Engineering (EE): PPT - Root Locus - Electrical Engineering (EE)

Description

Full syllabus notes, lecture & questions for PPT - Root Locus - Electrical Engineering (EE) - Electrical Engineering (EE) | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download

Information about PPT - Root Locus

In this doc you can find the meaning of PPT - Root Locus defined & explained in the simplest way possible. Besides explaining types of PPT - Root Locus theory, EduRev gives you an ample number of questions to practice PPT - Root Locus tests, examples and also practice Electrical Engineering (EE) tests.

Download as PDF

Top Courses for Electrical Engineering (EE)

Network Theory (Electric Circuits)

GATE Electrical Engineering (EE) Mock Test Series 2026

General Aptitude for GATE

View all courses for Electrical Engineering (EE)

Sample Paper

shortcuts and tricks

PPT - Root Locus - Electrical Engineering (EE)

Important questions

ppt

PPT - Root Locus - Electrical Engineering (EE)

Free

Objective type Questions

Viva Questions

MCQs

Previous Year Questions with Solutions

past year papers

pdf

study material

Semester Notes

mock tests for examination

practice quizzes

Extra Questions

Exam

PPT - Root Locus - Electrical Engineering (EE)

Summary

video lectures

;

Additional Information about PPT - Root Locus for Electrical Engineering (EE) Preparation

PPT - Root Locus Free PDF Download

The PPT - Root Locus is an invaluable resource that delves deep into the core of the Electrical Engineering (EE) exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the PPT - Root Locus now and kickstart your journey towards success in the Electrical Engineering (EE) exam.

Importance of PPT - Root Locus

The importance of PPT - Root Locus cannot be overstated, especially for Electrical Engineering (EE) aspirants. This document holds the key to success in the Electrical Engineering (EE) exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

PPT - Root Locus Notes

PPT - Root Locus Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to PPT - Root Locus. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, PPT - Root Locus Notes on EduRev are your ultimate resource for success.

PPT - Root Locus Electrical Engineering (EE) Questions

The "PPT - Root Locus Electrical Engineering (EE) Questions" guide is a valuable resource for all aspiring students preparing for the Electrical Engineering (EE) exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study PPT - Root Locus on the App

Students of Electrical Engineering (EE) can study PPT - Root Locus alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the PPT - Root Locus, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of PPT - Root Locus is prepared as per the latest Electrical Engineering (EE) syllabus.

Education Revolution