Synchronisation of chaotic systems using a novel sampled-data fuzzy controller

doi:10.1088/1674-1056/20/1/010101

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.

Keywords: chaotic systems synchronisation sampled-data systems parameter-dependent Lyapunov–Krasovskii functional

Received: 04 March 2010
Revised: 11 June 2010
Accepted manuscript online:

PACS:

01.20.+x

(Communication forms and techniques (written, oral, electronic, etc.))

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60974004).

Cite this article:

Feng Yi-Fu(冯毅夫) and Zhang Qing-Ling(张庆灵) Synchronisation of chaotic systems using a novel sampled-data fuzzy controller 2011 Chin. Phys. B 20 010101

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