Abstract The problem of making a stable Takagi--Sugeno (TS) fuzzy system chaotic in the sense of Devaney by using decentralized state feedback control is studied. The proposed decentralized feedback controller is a decentralized linear feedback controller composed of the overflow nonlinear function of the 2's complement arithmetic. The overflow nonlinearity of the 2's complement arithmetic results in a rather complex dynamics. We apply the Shi--Chen theorem to mathematically prove that the controlled 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 theoretical results.
Received: 25 November 2004
Revised: 24 January 2005
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and 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) Generating chaos in the sense of Devaney via decentralized feedback control from a stable Takagi-Sugeno fuzzy system 2005 Chinese Physics 14 1342
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