Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems

Her Terng Yau, Chieh-Li Chen

Research output: Contribution to journalArticle

107 Citations (Scopus)

Abstract

This paper proposes a chattering-free fuzzy sliding-mode control (FSMC) strategy for uncertain chaotic systems. A fuzzy logic control is used to replace the discontinuous sign function of the reaching law in traditional sliding-mode control (SMC), and hence a control input without chattering is obtained in the chaotic systems with uncertainties. Base on the Lyapunov stability theory, we address the design schemes of integration fuzzy sliding-mode control, where the reaching law is proposed by a set of linguistic rules and the control input is chattering free. The Genesio chaotic system is used to test the proposed control strategy and the simulation results show the FSMC not only can control the uncertain chaotic behaviors to a desired state without oscillator very fast, but also the switching function is smooth without chattering. This result implies that this strategy is feasible and effective for chaos control.

Original languageEnglish
Pages (from-to)709-718
Number of pages10
JournalChaos, solitons and fractals
Volume30
Issue number3
DOIs
Publication statusPublished - 2006 Nov 1

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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