Nonlinear dissipative controller for chaotic system

K. S. TANG, K. F. MAN, S. KWONG

Research output: Journal PublicationsJournal Article (refereed)peer-review

Abstract

A new nonlinear approach to control chaos behaviour is presented. By applying this proposed nonlinear dissipative controller, it can be shown that the chaotic state of the system dynamics tends to be driven into a well controlled periodic state, or even the steady state. The controller is developed based on the energy consideration, which is insensitive to uncertainties of system model. In this paper, the concept of the controller formulation is introduced. System stability and the necessary mathematical proofs are given. These are further justified by simulation runs. The advantage of this approach is that it provides a rapid change of system state and system stability are always guaranteed. Therefore, it can be potentially used for designing various oscillators including analog radio frequency oscillators.
Original languageEnglish
Pages (from-to)709-714
Number of pages6
JournalIFAC Proceedings Volumes
Volume28
Issue number14
DOIs
Publication statusPublished - Jun 1995
Externally publishedYes
Event3rd IFAC Symposium on Nonlinear Control Systems Design 1995 - Tahoe City, United States
Duration: 25 Jun 199528 Jun 1995

Keywords

  • Dissipative
  • Duffing System
  • Energy
  • Nonlinear Control
  • Stability

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