Synchronisation of chaotic systems using a novel sampled-data fuzzy controller | |
Alternative Title | Synchronisation of chaotic systems using a novel sampled-data fuzzy controller |
Feng YiFu1; Zhang QingLing2 | |
2011 | |
Source Publication | CHINESE PHYSICS B
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ISSN | 1674-1056 |
Volume | 20Issue:1 |
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 erectiveness of the proposed results. |
Other 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 |
Keyword | NONLINEAR 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 By | CSCD |
Language | 英语 |
Funding Project | [National Natural Science Foundation of China] |
CSCD ID | CSCD:4143054 |
Citation statistics |
Cited Times:4[CSCD]
[CSCD Record]
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Document Type | 期刊论文 |
Identifier | http://ir.imr.ac.cn/handle/321006/144660 |
Collection | 中国科学院金属研究所 |
Affiliation | 1.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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