Chaotifying continuous-time TS fuzzy systems via discretization

Zhong Li; Jin Bae Park; Young Hoon Joo

doi:10.1109/81.956020

Chaotifying continuous-time TS fuzzy systems via discretization

Zhong Li, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

32 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 language	English
Pages (from-to)	1237-1243
Number of pages	7
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	48
Issue number	10
DOIs	https://doi.org/10.1109/81.956020
Publication status	Published - 2001 Oct

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/81.956020

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Chaotifying continuous-time TS fuzzy systems via discretization

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