Control of chaotic systems using fuzzy model-based regulators

Keigo Watanabe, Lanka Udawatta, Kazuo Kiguchi, Kiyotaka Izumi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

This paper presents a new approach to controlling chaotic systems using fuzzy regulators. The relaxed stability conditions and LMI (Linear Matrix Inequalities) based designs for a fuzzy regulator are used 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. In the control of chaotic systems, we use two-phases of control, first phase uses an open-loop control with inherent chaotic features of the system itself and a fuzzy model-based controller is employed under state feedback control in the second phase of control. The Henon map is employed to illustrate the above design procedure.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages248-256
Number of pages9
Volume1711
ISBN (Print)3540666451, 9783540666455
DOIs
Publication statusPublished - 1999
Externally publishedYes
Event7th International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, RSFDGrC 1999 - Yamaguchi, Japan
Duration: Nov 9 1999Nov 11 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1711
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other7th International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, RSFDGrC 1999
CountryJapan
CityYamaguchi
Period11/9/9911/11/99

Fingerprint

Chaotic systems
Fuzzy Model
Regulator
Chaotic System
Model-based
Stability Condition
Hénon Map
Open-loop Control
Phase control
State Feedback Control
Linear matrix inequalities
State feedback
Closed loop systems
Global Solution
Closed-loop System
Feedback control
Matrix Inequality
Linear Inequalities
Controller
Controllers

Keywords

  • Chaotic systems
  • Evolutionary computation
  • Fuzzy model-based control
  • Lyapunov function
  • Nonlinear dynamics
  • System stability

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Watanabe, K., Udawatta, L., Kiguchi, K., & Izumi, K. (1999). Control of chaotic systems using fuzzy model-based regulators. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1711, pp. 248-256). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1711). Springer Verlag. https://doi.org/10.1007/978-3-540-48061-7_30

Control of chaotic systems using fuzzy model-based regulators. / Watanabe, Keigo; Udawatta, Lanka; Kiguchi, Kazuo; Izumi, Kiyotaka.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1711 Springer Verlag, 1999. p. 248-256 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1711).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Watanabe, K, Udawatta, L, Kiguchi, K & Izumi, K 1999, Control of chaotic systems using fuzzy model-based regulators. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 1711, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1711, Springer Verlag, pp. 248-256, 7th International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, RSFDGrC 1999, Yamaguchi, Japan, 11/9/99. https://doi.org/10.1007/978-3-540-48061-7_30
Watanabe K, Udawatta L, Kiguchi K, Izumi K. Control of chaotic systems using fuzzy model-based regulators. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1711. Springer Verlag. 1999. p. 248-256. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-540-48061-7_30
Watanabe, Keigo ; Udawatta, Lanka ; Kiguchi, Kazuo ; Izumi, Kiyotaka. / Control of chaotic systems using fuzzy model-based regulators. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1711 Springer Verlag, 1999. pp. 248-256 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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