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OALib Journal期刊
ISSN: 2333-9721
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Chaotifying a stable Takagi-Sugeno fuzzy system by a sawtooth nonlinearity
利用锯齿非线性混沌化稳定的Takagi-Sugeno (TS) 模糊系统

Keywords: chaos,chaotification,TS fuzzy system,chaos control
混沌
,混沌化,TS模糊系统,混沌控制

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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.

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