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2005 Volume 14 Issue 4
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Lu Jun-Guo. 2005: Decentralized state-feedback chaotification method of discrete Takagi-Sugeno fuzzy systems, Chinese Physics B, 14(4): 703-708.
Citation: Lu Jun-Guo. 2005: Decentralized state-feedback chaotification method of discrete Takagi-Sugeno fuzzy systems, Chinese Physics B, 14(4): 703-708.
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Decentralized state-feedback chaotification method of discrete Takagi-Sugeno fuzzy systems

  • Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

  • Corresponding author: Lu Jun-Guo
  • Available Online: 30/04/2005
  • Fund Project: the National Postdoctoral Science Foundation of China and the National Natural Science Foundation of China (Grant 60404005)
  • 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.
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Decentralized state-feedback chaotification method of discrete Takagi-Sugeno fuzzy systems

    Corresponding author: Lu Jun-Guo
  • Available Online: 30/04/2005

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.

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