Fuzzy-chaos hybrid controller for controlling of nonlinear systems

Lanka Udawatta, Keigo Watanabe, Kazuo Kiguchi, Kiyotaka Izumi

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

A novel concept for controlling of nonlinear systems using chaos and fuzzy model-based regulators is presented. In the control of such systems, we employ two phases, the first of which uses open-loop control forming a chaotic attractor or using chaotic inherent features in a system itself. Once the system states reach a predefined convex domain, open-loop control is cut off and a fuzzy model-based controller is employed under state feedback control in the second phase. The relaxed stability conditions and linear matrix inequalities (LMIs)-based design for a fuzzy regulator is introduced to construct a fuzzy attractive domain, in which a global solution is obtained so as to achieve the desired stability condition of the closed-loop system. The proposed controller architecture has been tested using three nonlinear systems: the Henon map, the Lorenz attractor, and a two-link manipulator. The simulation results show the effectiveness of the proposed controller.

Original languageEnglish
Pages (from-to)401-411
Number of pages11
JournalIEEE Transactions on Fuzzy Systems
Volume10
Issue number3
DOIs
Publication statusPublished - Jun 1 2002
Externally publishedYes

Keywords

  • Chaotic systems
  • Convex domains
  • Fuzzy model-based control
  • Linear matrix inequalities (LMIs)
  • Lyapunov stability
  • Nonlinear dynamics

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

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