Stabilization of chaotic systems using linear sampled-data controller

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26 Citations (Scopus)

Abstract

This paper proposes a linear sampled-data controller for the stabilization of chaotic system. The system stabilization and performance issues will be investigated. Stability conditions will be derived based on the Lyapunov approach. The findings of the maximum sampling period and the feedback gain of controller, and the optimization of system performance will be formulated as a generalized eigenvalue minimization problem. Based on the analysis result, a stable linear sampled-data controller can be realized systematically to stabilize a chaotic system. An example of stabilizing a Lorenz system will be given to illustrate the design procedure and effectiveness of the proposed approach.
Original languageEnglish
Pages (from-to)2021-2031
Number of pages11
JournalInternational Journal of Bifurcation and Chaos
Volume17
Issue number6
DOIs
Publication statusPublished - 1 Jan 2007

Keywords

  • Chaos
  • Fuzzy control
  • Sampled data
  • Stability

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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