Decentralized state-feedback chaotification method of discrete Takagi–Sugeno fuzzy systems
Decentralized state-feedback chaotification method of discrete Takagi–Sugeno fuzzy systems
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DOI：
10.1088/1009-1963/14/4/011
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发表时间：
2005-03
期刊：
影响因子：
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通讯作者：
Jun-Guo Lu
中科院分区：
文献类型：
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作者：
Jun-Guo Lu
提出了一种新的混沌化方法，用于使任意给定的离散 Takagi-Sugeno (TS) 模糊系统变得混沌。基于给定的离散TS模糊系统，新的混沌化方法使用分散状态反馈控制和连续锯齿函数代替模运算来构造混沌非线性系统，该系统可以产生具有任意期望幅度界限的离散混沌。我们应用改进的Marotto定理从数学上证明了受控系统是Li和Yorke意义上的混沌。特别是，获得了混沌化参数计算的显式公式。用数值例子来说明理论结果。
A new chaotification method is proposed for making an arbitrarily given discrete Takagi–Sugeno (TS) fuzzy system chaotic. Based on a given discrete TS fuzzy system, the new chaotification method uses the decentralized state-feedback control and the continuous sawtooth function, instead of the modulo operation, to construct a chaotic nonlinear system, which can generate discrete chaos with the arbitrarily desired amplitude bound. We apply the improved Marotto theorem 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 illustrate the theoretical results.