Classical Control Theory Applied to Potentially Chaotic Systems

Authors

William L. Brogan, University of Nevada, Las Vegas

Document Type

Article

Publication Date

1995

Publication Title

Computer Applications in Engineering Education

Volume

3

First page number:

111

Last page number:

120

Abstract

Some nonlinear systems of order three or higher become chaotic for certain parameter values and initial conditions. Interesting examples have been discussed in recent years, using sophisticated mathematical analysis and/or simulation. This article presents a simple method of predicting if chaos is possible and under what conditions, using classical control theory tools such as Nyquist's stability theorem and describing functions. The method is demonstrated using several examples.

Keywords

Chaotic behavior in systems--Mathematical models; Control theory

Disciplines

Computer and Systems Architecture | Computer Engineering | Computer Sciences | Theory and Algorithms

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Repository Citation

Brogan, W. L. (1995). Classical Control Theory Applied to Potentially Chaotic Systems. Computer Applications in Engineering Education, 3 111-120.