Bifurcation and Chaos in Simple Nonlinear Feedback Control Systems

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)

View graph of relations

Related Research Unit(s)

Detail(s)

Original languageEnglish
Title of host publicationBifurcation Control
Subtitle of host publicationTheory and Applications
EditorsGuanrong Chen, David J. Hill, Xinghuo Yu
PublisherSpringer-Verlag Berlin Heidelberg
Pages83-98
ISBN (Print)3-540-40341-8
Publication statusPublished - 2003

Publication series

NameLecture Notes in Control and Information Sciences
PublisherSpringer-Verlag
Volume293
ISSN (Print)0170-8643

Abstract

This chapter is to give the bifurcation analysis and the verification of chaotic dynamics in nonlinear feedback control systems based on numerical continuation techniques and the Shil'nikov theorem. The studied system is a low-order linear autonomous system with a simple nonlinear controller of the form g(v) = v|v|. The chaotic dynamics generated in this kind of systems are demonstrated by both computer simulation and circuitry implementation.

Citation Format(s)

Bifurcation and Chaos in Simple Nonlinear Feedback Control Systems. / Tang, Wallace K. S.
Bifurcation Control: Theory and Applications. ed. / Guanrong Chen; David J. Hill; Xinghuo Yu. Springer-Verlag Berlin Heidelberg, 2003. p. 83-98 (Lecture Notes in Control and Information Sciences; Vol. 293).

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)