Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity

doi:10.1088/1009-1963/14/6/005

中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1082-1087.doi: 10.1088/1009-1963/14/6/005

Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity

收稿日期:2004-12-03 修回日期:2005-01-04 出版日期:2005-05-27 发布日期:2022-10-09

Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity

Lu Jun-Guo(卢俊国)

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

Received:2004-12-03 Revised:2005-01-04 Online:2005-05-27 Published:2022-10-09
About author:E-mail: jglu@sjtu.edu.cn
Supported by:
Project supported by the National Postdoctoral Science Foundation of China and the National Natural Science Foundation of China (Grant No 60404005)

摘要/Abstract

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.

Key words: chaos, chaotification, Devaney chaos, TS fuzzy system, 2's complement arithmetic

中图分类号:

0545

Lu Jun-Guo. Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity[J]. 中国物理B, 2005, 14(6): 1082-1087.

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[J]. Chinese Physics, 2005, 14(6): 1082-1087.

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Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity

Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity

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