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

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Chaos theory
Nonlinear systems
Open-loop Control
Chaos
Nonlinear Systems
Fuzzy Model
Controller
Stability Condition
Regulator
Controllers
Lorenz attractor
Model-based
Hénon Map
State Feedback Control
Convex Domain
Chaotic Attractor
Manipulator
Linear matrix inequalities
State feedback
Closed loop systems

All Science Journal Classification (ASJC) codes

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

Cite this

Fuzzy-chaos hybrid controller for controlling of nonlinear systems. / Udawatta, Lanka; Watanabe, Keigo; Kiguchi, Kazuo; Izumi, Kiyotaka.

In: IEEE Transactions on Fuzzy Systems, Vol. 10, No. 3, 01.06.2002, p. 401-411.

Research output: Contribution to journalArticle

Udawatta, Lanka ; Watanabe, Keigo ; Kiguchi, Kazuo ; Izumi, Kiyotaka. / Fuzzy-chaos hybrid controller for controlling of nonlinear systems. In: IEEE Transactions on Fuzzy Systems. 2002 ; Vol. 10, No. 3. pp. 401-411.
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