Chaotic synchronization of Rikitake system based on T-S fuzzy control techniques

被引：40

作者：

Vembarasan, V. ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

NONLINEAR DYNAMICS | 2013年 / 74卷 / 1-2期

关键词：

Synchronization; Rikitake system; T-S fuzzy control; Lyapunov function; Linear matrix inequality; COMPLEX DYNAMICAL NETWORK;

D O I：

10.1007/s11071-013-0946-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper studies the chaos synchronization of the Rikitake system based on Takagi-Sugeno fuzzy control techniques. By employing the Lyapunov function and linear matrix inequality approach, the fuzzy controller design is presented to synchronize the two identical Rikitake systems. Finally, numerical results and simulations are given to demonstrate the advantages of the proposed results.

引用

页码：31 / 44

页数：14

共 48 条

[1] Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties [J].

Aghababa, Mohammad Pourmahmood ;

Aghababa, Hasan Pourmahmood .

NONLINEAR DYNAMICS, 2012, 67 (04) :2689-2701

[2] Synchronization and parameter estimations of an uncertain Rikitake system [J].

Aguilar-Ibanez, Carlos ;

Martinez-Guerra, Rafael ;

Aguilar-Lopez, Ricardo ;

Mata-Machuca, Juan L. .

PHYSICS LETTERS A, 2010, 374 (35) :3625-3628

[3]

[Anonymous], 1999, NONLINEAR J

[4]

[Anonymous], 2004, Synchronization and control of chaos: an introduction for scientists and engineers

[5] Synchronization in complex networks [J].

Arenas, Alex ;

Diaz-Guilera, Albert ;

Kurths, Jurgen ;

Moreno, Yamir ;

Zhou, Changsong .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153

[6]

Assawinchaichote W., 2011, INT J ENERGY, V5, P27

[7] Synchronization of recurrent neural networks with mixed time-delays via output coupling with delayed feedback [J].

Balasubramaniam, P. ;

Vembarasan, V. .

NONLINEAR DYNAMICS, 2012, 70 (01) :677-691

[8] Fuzzy model based multivariable predictive control of a variable speed wind turbine: LMI approach [J].

Bououden, S. ;

Chadli, M. ;

Filali, S. ;

El Hajjaji, A. .

RENEWABLE ENERGY, 2012, 37 (01) :434-439

[9]

Boyd S., 1994, LINEAR MATRIX INEQUA

[10] Disturbance-observer-based robust synchronization control of uncertain chaotic systems [J].

Chen, Mou ;

Wu, Qingxian ;

Jiang, Changsheng .

NONLINEAR DYNAMICS, 2012, 70 (04) :2421-2432

← 1 2 3 4 5 →