An integral control for synchronization of a class of unknown non-autonomous chaotic systems

被引:7
作者
Lee, D. W. [1 ]
Yoo, W. J. [2 ]
Won, S. C. [1 ]
机构
[1] Pohang Univ Sci & Technol, Dept Elect & Elect Engn, Pohang 790784, South Korea
[2] Samsung Elect Co Ltd, Digital Media & Commun, Mobile Commun Devis, Suwon, Gyeonggi Do, South Korea
关键词
Chaos synchronization; Integral control; Non-autonomous system; ADAPTIVE FEEDBACK SYNCHRONIZATION; DUFFING OSCILLATORS; ACTIVE CONTROL; NEURONS;
D O I
10.1016/j.physleta.2010.08.050
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, a high gain integral controller for synchronization of unknown non-autonomous chaotic systems is proposed. Perturbation theory is used to demonstrate that the synchronization error of the resulting feedback system converges to zero. Numerical simulations are presented to illustrate the effectiveness of the proposed method. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:4231 / 4237
页数:7
相关论文
共 24 条
[1]   Cooperative behavior of a chain of synaptically coupled chaotic neurons [J].
Bazhenov, M ;
Huerta, R ;
Rabinovich, MI ;
Sejnowski, T .
PHYSICA D, 1998, 116 (3-4) :392-400
[2]   Chaos and chaos synchronization of a symmemic gyro with linear-plus-cubic damping [J].
Chen, HK .
JOURNAL OF SOUND AND VIBRATION, 2002, 255 (04) :719-740
[3]   Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].
Chen, MY ;
Han, ZZ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716
[4]   Insulin release at the molecular level: Metabolic-electrophysiological modeling of the pancreatic beta-cells [J].
Giugliano, M ;
Bove, M ;
Grattarola, M .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2000, 47 (05) :611-623
[5]   Adaptive feedback synchronization of Lu system [J].
Han, X ;
Lu, JA ;
Wu, X .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :221-227
[6]   Synchronization of chaos in non-identical parametrically excited systems [J].
Idowu, B. A. ;
Vincent, U. E. ;
Njah, A. N. .
CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2322-2331
[7]  
KHALIL HK, 1986, NONLINEAR SYSTEMS
[8]   Is there chaos in the brain? II. Experimental evidence and related models [J].
Korn, H ;
Faure, P .
COMPTES RENDUS BIOLOGIES, 2003, 326 (09) :787-840
[9]   Global synchronization of two parametrically excited systems using active control [J].
Lei, YM ;
Xu, W ;
Shen, JW ;
Fang, T .
CHAOS SOLITONS & FRACTALS, 2006, 28 (02) :428-436
[10]   Robust synchronization of chaotic non-autonomous systems using adaptive-feedback control [J].
Lei, Youming ;
Xu, Wei ;
Shen, Jianwei .
CHAOS SOLITONS & FRACTALS, 2007, 31 (02) :371-379