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Low effort control for chaotic systems via a fuzzy model-based approach

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1 Scopus citations

Abstract

in this paper,we propose a low effort control scheme for chaotic systems by using fuzzy model-based design method. First, we represent nonlinear systems into T-S fuzzy models in a working region covering the point to be regulated. The stability condition of the overall system is formulated into (LMIs). To guarantee the stability, the region of attraction is also investigated. According to topologically transitive property for chaotic systems, the feedback control force is activated only when the trajectory passes through the neighboring region of the regulated point. Compared to purely fuzzy model-based controller, the control force for the fuzzy chaos hybrid controller is extremely low.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherIFAC Secretariat
Pages251-256
Number of pages6
ISBN (Print)008045108X, 9780080451084
DOIs
StatePublished - 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Bibliographical note

Funding Information:
∗This work was supported by the National Science Coun-

Keywords

  • Chaotic systems
  • Low effort control
  • T-S fuzzy model

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