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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10101-010101.doi: 10.1088/1674-1056/20/1/010101

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

张庆灵¹, 冯毅夫²

(1)Institute of Systems Science, Northeastern University, Shenyang 110004, China; (2)School of Mathematics, Jilin Normal University, Siping 136000, China;Institute of Systems Science, Northeastern University, Shenyang 110004, China

收稿日期:2010-03-04 修回日期:2010-06-11 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60974004).

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

Feng Yi-Fu(冯毅夫)^a)b)^† and Zhang Qing-Ling(张庆灵)^b)

^a School of Mathematics, Jilin Normal University, Siping 136000, China; ^b Institute of Systems Science, Northeastern University, Shenyang 110004, China

Received:2010-03-04 Revised:2010-06-11 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60974004).

摘要/Abstract

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.

关键词: chaotic systems, synchronisation, sampled-data systems, parameter-dependent Lyapunov--Krasovskii functional

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.

Key words: chaotic systems, synchronisation, sampled-data systems, parameter-dependent Lyapunov–Krasovskii functional

中图分类号: (Communication forms and techniques (written, oral, electronic, etc.))

01.20.+x

冯毅夫, 张庆灵. Synchronisation of chaotic systems using a novel sampled-data fuzzy controller[J]. 中国物理B, 2011, 20(1): 10101-010101.

Feng Yi-Fu(冯毅夫) and Zhang Qing-Ling(张庆灵). Synchronisation of chaotic systems using a novel sampled-data fuzzy controller[J]. Chin. Phys. B, 2011, 20(1): 10101-010101.

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

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

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