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Synchronisation of chaotic systems using a novel sampled-data fuzzy controller
Alternative TitleSynchronisation of chaotic systems using a novel sampled-data fuzzy controller
Feng YiFu1; Zhang QingLing2
2011
Source PublicationCHINESE PHYSICS B
ISSN1674-1056
Volume20Issue:1
AbstractThis 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 erectiveness of the proposed results.
Other AbstractThis 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
KeywordNONLINEAR FEEDBACK-CONTROL SLIDING MODE CONTROL ADAPTIVE SYNCHRONIZATION IMPULSIVE SYNCHRONIZATION PARAMETER UNCERTAINTY BACKSTEPPING DESIGN UNIFIED APPROACH NEURAL-NETWORKS LINEAR-SYSTEMS LIU SYSTEM chaotic systems synchronisation sampled-data systems parameter-dependent Lyapunov-Krasovskii functional
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China]
CSCD IDCSCD:4143054
Citation statistics
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/144660
Collection中国科学院金属研究所
Affiliation1.吉林师范大学
2.中国科学院金属研究所
Recommended Citation
GB/T 7714
Feng YiFu,Zhang QingLing. Synchronisation of chaotic systems using a novel sampled-data fuzzy controller[J]. CHINESE PHYSICS B,2011,20(1).
APA Feng YiFu,&Zhang QingLing.(2011).Synchronisation of chaotic systems using a novel sampled-data fuzzy controller.CHINESE PHYSICS B,20(1).
MLA Feng YiFu,et al."Synchronisation of chaotic systems using a novel sampled-data fuzzy controller".CHINESE PHYSICS B 20.1(2011).
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