Chaotifying continuous-time TS fuzzy systems via discretization

Zhong Li, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

An approach is proposed for making a given stable continuous-time Takagi-Sugeno (TS) fuzzy-system chaotic, by first discretizing it and then using state feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, and satisfy the chaotic mechanisms of stretching and folding, thereby yielding chaotic dynamics. This approach is mathematically proven for rigorous generation of chaos from a stable continuous-time TS fuzzy system, where the generated chaos is in the sense of Li and Yorke. A numerical example is included to visualize the theoretical analysis and the controller design.

Original languageEnglish
Pages (from-to)1237-1243
Number of pages7
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume48
Issue number10
DOIs
Publication statusPublished - 2001 Oct 1

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Fuzzy systems
Chaos theory
Controllers
State feedback
Stretching
Feedback control
Feedback

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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Chaotifying continuous-time TS fuzzy systems via discretization. / Li, Zhong; Park, Jin Bae; Joo, Young Hoon.

In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 48, No. 10, 01.10.2001, p. 1237-1243.

Research output: Contribution to journalArticle

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