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)
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Title of host publication | Bifurcation Control |
Subtitle of host publication | Theory and Applications |
Editors | Guanrong Chen, David J. Hill, Xinghuo Yu |
Publisher | Springer-Verlag Berlin Heidelberg |
Pages | 83-98 |
ISBN (Print) | 3-540-40341-8 |
Publication status | Published - 2003 |
Publication series
Name | Lecture Notes in Control and Information Sciences |
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Publisher | Springer-Verlag |
Volume | 293 |
ISSN (Print) | 0170-8643 |
Link(s)
DOI | DOI |
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Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(a2ba9dd6-74d6-4100-b402-4d0ce36724f0).html |
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).
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)