Synchronisation of chaotic systems using a novel sampled-data fuzzy controller |
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Authors: | Feng Yi-Fu and Zhang Qing-Ling |
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Institution: | School of Mathematics, Jilin Normal University, Siping 136000, China;Institute of Systems Science, Northeastern University, Shenyang 110004, China;Institute of Systems Science, Northeastern University, Shenyang 110004, China |
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Abstract: | 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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Keywords: | chaotic systems synchronisation sampled-data systems parameter-dependent Lyapunov--Krasovskii functional |
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