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

被引：5

作者：

Feng Yi-Fu ^{[1
,2
]}

Zhang Qing-Ling ^{[2
]}

机构：

[1] Jilin Normal Univ, Sch Math, Siping 136000, Peoples R China

[2] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Peoples R China

来源：

CHINESE PHYSICS B | 2011年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

chaotic systems; synchronisation; sampled-data systems; parameter-dependent Lyapunov-Krasovskii functional; NONLINEAR FEEDBACK-CONTROL; SLIDING MODE CONTROL; ADAPTIVE SYNCHRONIZATION; IMPULSIVE SYNCHRONIZATION; PARAMETER UNCERTAINTY; BACKSTEPPING DESIGN; UNIFIED APPROACH; NEURAL-NETWORKS; LINEAR-SYSTEMS; LIU SYSTEM;

D O I：

10.1088/1674-1056/20/1/010101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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 erectiveness of the proposed results.

引用

页数：9

共 29 条

[1] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

[2] Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].

Chen, MY ;

Han, ZZ .

CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716

[3] Impulsive control and synchronization of unified chaotic system [J].

Chen, SH ;

Yang, Q ;

Wang, CP .

CHAOS SOLITONS & FRACTALS, 2004, 20 (04) :751-758

[4] Robust sampled-data stabilization of linear systems: an input delay approach [J].

Fridman, E ;

Seuret, A ;

Richard, JP .

AUTOMATICA, 2004, 40 (08) :1441-1446

[5] Impulsive synchronization of different hyperchaotic (chaotic) systems [J].

Haeri, Mohammad ;

Dehghani, Mahsa .

CHAOS SOLITONS & FRACTALS, 2008, 38 (01) :120-131

[6] Adaptive synchronization of uncertain Liu system via nonlinear input [J].

Hu Jia ;

Zhang Qun-Jiao .

CHINESE PHYSICS B, 2008, 17 (02) :503-506

[7] Synchronization of chaotic systems with uncertainties using robust terminal sliding mode control [J].

Huang Guo-Yong ;

Jiang Chang-Sheng ;

Wang Yu-Hui .

ACTA PHYSICA SINICA, 2007, 56 (11) :6224-6229

[8] Master-slave synchronization of general Lur'e systems with time-varying delay and parameter uncertainty [J].

Huang, H ;

Li, HX ;

Zhong, J .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (02) :281-294

[9] Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller [J].

Lam, H. K. ;

Ling, Wing-Kuen ;

Iu, Herbert Ho-Ching ;

Ling, Steve S. H. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (03) :893-903

[10] Impulsive control for synchronization of nonlinear Rössler chaotic systems [J].

College of Computer Science and Engineering, Chongqing University, Chongqing 400030, China .

Chin. Phys., 2006, 12 (2890-2893) :2890-2893

← 1 2 3 →