中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10101-010101.doi: 10.1088/1674-1056/20/1/010101
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张庆灵1, 冯毅夫2
Feng Yi-Fu(冯毅夫)a)b)† and Zhang Qing-Ling(张庆灵)b)
摘要: This paper presents the synchronisation of chaotic systems using a sampled-data fuzzy controller and is meaningful for many physical real-life applications. Firstly, a Takagi--Sugeno (T--S) fuzzy model is employed to represent the chaotic systems that contain some nonlinear terms, then a type of fuzzy sampled-data controller is proposed and an error system formed by the response and drive chaotic system. Secondly, relaxed LMI-based synchronisation conditions are derived by using a new parameter-dependent Lyapunov--Krasovskii functional and relaxed stabilisation techniques for the underlying error system. The derived LMI-based conditions are used to aid the design of a sampled-data fuzzy controller to achieve the synchronisation of chaotic systems. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results.
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