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Root Locus Analysis

In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system. This is a technique used as a stability criterion in the field of classical control theory developed by Walter R. Evans which can determine stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter.

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Sketching Root Locus Part 1
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Sketching Root Locus Part 1

Brian Douglas
13 min
Beginner
Video
Theory

Sketching a root locus by hand can be done by following some simple rules. However, more important than actually being able to sketch to plot is being able to use our knowledge to design...

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Drawing the root locus (Interactive Tool)
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Drawing the root locus (Interactive Tool)

Erik Cheever
Beginner
App
Theory

This page was developed to help student learn how to sketch the root locus by hand. You can enter a numerator and denominator for G(s)H(s) (i.e., the loop gain) and the program will guide...

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The Root Locus Method - Introduction
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The Root Locus Method - Introduction

Brian Douglas
13 min
Beginner
Video
Theory

This Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to...

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Sketching Root Locus Part 2
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Sketching Root Locus Part 2

Brian Douglas
16 min
Beginner
Video
Theory

This is the second part of how to sketch a root locus by hand. However instead of following the normal rules for sketching a locus that you'd see in a book, I decided to explain the rules...

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