中国物理B ›› 2005, Vol. 14 ›› Issue (4): 703-708.doi: 10.1088/1009-1963/14/4/011

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Decentralized state-feedback chaotification method of discrete Takagi--Sugeno fuzzy systems

卢俊国   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai,200030, China
  • 收稿日期:2004-11-09 修回日期:2004-11-13 出版日期:2005-04-20 发布日期:2005-03-28
  • 基金资助:
    Project supported by the National Postdoctoral Science Foundation of China and the National Natural Science Foundation of China (Grant No 60404005)

Decentralized state-feedback chaotification method of discrete Takagi--Sugeno fuzzy systems

Lu Jun-Guo (卢俊国)   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2004-11-09 Revised:2004-11-13 Online:2005-04-20 Published:2005-03-28
  • Supported by:
    Project supported by the National Postdoctoral Science Foundation of China and the National Natural Science Foundation of China (Grant No 60404005)

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摘要： A new chaotification method is proposed for making an arbitrarily given discrete Takagi--Sugeno (TS) fuzzy system chaotic. Based on a given discrete TS fuzzy system, the new chaotification method uses the decentralized state-feedback control and the continuous sawtooth function, instead of the modulo operation, to construct a chaotic nonlinear system, which can generate discrete chaos with the arbitrarily desired amplitude bound. We apply the improved Marotto theorem to mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. In particular, an explicit formula for the computation of chaotification parameters is obtained. A numerical example is used to illustrate the theoretical results.

Abstract: A new chaotification method is proposed for making an arbitrarily given discrete Takagi--Sugeno (TS) fuzzy system chaotic. Based on a given discrete TS fuzzy system, the new chaotification method uses the decentralized state-feedback control and the continuous sawtooth function, instead of the modulo operation, to construct a chaotic nonlinear system, which can generate discrete chaos with the arbitrarily desired amplitude bound. We apply the improved Marotto theorem to mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. In particular, an explicit formula for the computation of chaotification parameters is obtained. A numerical example is used to illustrate the theoretical results.

Key words: chaos, chaotification, Takagi--Sugeno fuzzy system, chaos control

中图分类号:  (Control of chaos, applications of chaos)

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