Abstract Another simple and systematic decentralized feedback anticontrol algorithm of chaos in the sense of Devaney is proposed for arbitrarily given discrete-time Takagi-Sugeno (TS) fuzzy systems. Based on a given discrete-time TS fuzzy system, the new chaotification algorithm uses the decentralized state feedback control and the overflow nonlinear function of the 2's complement arithmetic to construct a chaotic system. Based on the Shi–Chen theorem, we prove mathematically that the constructed system is indeed chaotic in the sense of Devaney. In particular, an explicit formula for the computation of chaotification parameters is also obtained. A numerical example is used to visualize and illustrate the theoretic results.
Received: 03 December 2004
Revised: 04 January 2005
Accepted manuscript online:
PACS:
0545
Fund: Project supported by the National Postdoctoral Science Foundation of China and the National Natural Science Foundation of China (Grant No 60404005)
About author: E-mail: jglu@sjtu.edu.cn
Cite this article:
Lu Jun-Guo(卢俊国) Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity 2005 Chinese Physics 14 1082
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