Abstract The problem of making a stable Takagi--Sugeno (TS) fuzzy system chaotic by using the state feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth function of the system state.The improved Marotto theorem has been obtained and applied 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 visualize and illustrate the theoretical results.
Received: 26 May 2004
Revised: 06 September 2004
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).
Cite this article:
Lu Jun-Guo (卢俊国) Chaotifying a stable Takagi-Sugeno fuzzy system by a sawtooth nonlinearity 2005 Chinese Physics 14 67
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