Anticontrol of chaos for discrete TS fuzzy systems

Zhong Li; Jin Bae Park; Young Hoon Joo; Yoon Ho Choi; Guanrong Chen

doi:10.1109/81.983873

Anticontrol of chaos for discrete TS fuzzy systems

Zhong Li, Jin Bae Park, Young Hoon Joo, Yoon Ho Choi, Guanrong Chen

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article

39 Citations (Scopus)

Abstract

In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.

Original language	English
Pages (from-to)	249-253
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	49
Issue number	2
DOIs	https://doi.org/10.1109/81.983873
Publication status	Published - 2002 Feb 1

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All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Cite this

Li, Z., Park, J. B., Joo, Y. H., Choi, Y. H., & Chen, G. (2002). Anticontrol of chaos for discrete TS fuzzy systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(2), 249-253. https://doi.org/10.1109/81.983873

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10.1109/81.983873