B.Tech. in EC, GATE 2017 AIR 18, YouTuber (channel name - STUDENT MODULATOR), 5 years Teaching Experience

Akhilesh Pandey

This course is specially designed for GATE aspirants to develop problem solving approach. A brief concept is covered with problem and solution in each lesson. Concepts are to the point and concerned with GATE only.

GATE (Graduate Aptitude Test in Engineering) 2020 & 2021 complete preparation with best educators. Know about the detailed syllabus, best books, exam pattern and dates, previous year question papers a

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English

Root Locus : Problem Solving Approach

Frequency Domain Analysis

Control Systems

GATE & ESE - EE, EC

GATE, ESE and IIT-JAM

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Test Preparation

This lesson includes the topics: characteristic equation, Feedback system, Root Locus definition, previous year GATE problem with solution.

Definition of Root Locus

Magnitude and phase angle of GH on Root Locus
Characteristic equation, 1 + G(s) H(s) = 0
So, G(s) H(s) = −1
On root locus, magnitude of Loop gain,
|G(s) H(s)|= 1
On root locus, phase angle of loop gain
= odd multiple of 180°

Value of parameter k on Root Locus
At any point on root locus,
=product of vector lengths drawn from pole to s/product of vector length drawn from zero to s

 previous year GATE problem with solution.

Magnitude and phase angle of GH and value of k on Root Locus

Sketching rules of Root Locus:
Root locus is symmetrical with respect to real axis of s-plane

Root locus starts from poles (k = 0) and ends to zeros (k = ∞) of open loop
gain G(s)H(s).

Number of branches of Root locus is equal to the order of characteristic
equation 1 + G(s)H(s) = 0.
Or, No. of branches of root locus = maximum {no. of poles, no. of zeros}

Root locus lies in the section of real axis, if total number of poles and zeros to
the right of the section is odd.

Previous year GATE PROBLEM.

Basic sketching rules of Root Locus

Asymptote
.
“Asymptote gives the direction of root locus branches approaching infinity”

Centroid
Position where asymptotes meet on real axis is 
called centroid.

Angle of Asymptote
Angle formed by asymptotes with positive real 
axis is called angle of asymptote.

GATE 1992 – 2 Marks (Question) with solution

Asymptote, centroid, angle of asymptote

Break-away Point
 Point where root locus leaves the real axis is called break-away point (i.e. at some 
point between two open loop poles on real axis).


Break-in Point
 Point where root locus returns the real axis is called break-in point (i.e. at some 
point between two open loop zeros on real axis).

To calculate Break-away/Break-in Point
Break-away point = point of maxima for k
Break-in point = point of minima for k

GATE 2003- 2 Marks (Question)

Break-away point and Break-in point

B.E (ECE) , M.E ( Power Electronics), PhD(Electrical Engineering). 20 years of Teaching Experience in Engineering subjects.Cracked Teachers 

Stella S A G

This course deals with different methods for the  solution of state equation. It also discuss how to obtain  system transient response from the solution.

Solution of State Equations

B.tech(ECE) with CGPA-8.5/10,GATE(2017)  qualified, teaching experience-3 years,love playing badminton.

Ruhika Ruhi

This lesson will explain and show the polar plots of some standard Transfer Functions.

Standard Polar Plots - GATE (ECE)

This course is all about the practicing of GATE Previous Years Questions based on the topic: Root Locus in a simple, easy and shortest approach.

PYQs on Root Locus: GATE(ECE)

Download Shrenik Jain - Study Simplified App to study LIVE  from Shrenik Jain sir 

Shrenik Jain Study Simplified

The course covers various types of sums on Routh array stablility is covered .
Must watch for GATE examination aspirants.

(Hindi) Routh array Stability for GATE Examination

B.Tech ECE.
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Took GATE+ESE coaching.
youtube :- easyEC

Sneha Maduru

This course is related to third chapter of control systems which is stability of control systems. This course is designed for competitive examinations like GATE, ESE, PSU and this course is also useful to btech graduates.

Stability and R- H Crietria: GATE

This course is related to second chapter of control systems which is time response analysis. This course is designed for competitive examinations like GATE,ESE,PSU and other competitive examinations and this course is also useful to B.TECH graduates.

Lessons

5 lessons • 43m

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Definition of Root Locus

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Magnitude and phase angle of GH and value of k on Root Locus

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Basic sketching rules of Root Locus

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Asymptote, centroid, angle of asymptote

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Break-away point and Break-in point