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.
Received: 09 November 2004
Revised: 13 November 2004
Accepted manuscript online:
PACS:
05.45.Gg
(Control of chaos, applications of chaos)
Fund: Project supported by the National Postdoctoral Science Foundation of China and the National Natural Science Foundation of China (Grant No 60404005)
Cite this article:
Lu Jun-Guo (卢俊国) Decentralized state-feedback chaotification method of discrete Takagi--Sugeno fuzzy systems 2005 Chinese Physics 14 703
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