JoVE Logo

Sign In

Chapter 24

Root-Locus Method

Control System Problem
Control System Problem
In an open-loop system like a basic thermostat, the poles of the transfer function influence system response but don't govern stability. When feedback ...
Vector Representation of Complex Numbers
Vector Representation of Complex Numbers
Complex numbers, described in Cartesian coordinates, can be depicted as vectors. These can be expressed in polar form, showcasing their magnitude and ...
Root-Locus Method
Root-Locus Method
Consider a cruise control system in a car designed to maintain a set speed automatically. The control system measures the vehicle's speed and ...
Properties of the Root Locus
Properties of the Root Locus
The root locus method helps analyze higher-order systems without requiring the factorization of the denominator of the transfer function. A pole is ...
Construction of Root Locus
Construction of Root Locus
The root locus construction involves determining the number of branches that equals the number of closed-loop poles. The root locus is symmetrical about ...
Plotting and Calibrating the Root Locus
Plotting and Calibrating the Root Locus
Root loci commonly diverge when system poles transition from the real to the complex plane. The breakaway and break-in points signal where the locus ...
Root Loci for Positive-Feedback Systems
Root Loci for Positive-Feedback Systems
A Hartley oscillator, a positive feedback system, maintains oscillation by feeding the output back to the input in phase, reinforcing the signal. Positive ...
JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved