Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme

被引:95
作者
Chen, Diyi [1 ]
Zhang, Runfan [1 ]
Ma, Xiaoyi [1 ]
Liu, Si [1 ]
机构
[1] NW A&F Univ, Dept Elect Engn, Yangling 712100, Shaanxi, Peoples R China
关键词
Chaotic system; Antisynchronization; Synchronization; Sliding mode; ADAPTIVE-CONTROL;
D O I
10.1007/s11071-011-0244-7
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper brings attention to the chaotic antisynchronization and synchronization for a novel class of chaotic systems with different structure and dimensions by using a new sliding mode control strategy. This approach needs only n-1 controllers, where n is the number of the salve system dimensions. And our method uses proportional integral (PI) surface and saturation function to simplify the task of assigning the performance of the closed-loop error system in sliding motion. Furthermore, the sufficient conditions are derived, and representative examples are proposed as well. Finally, numerical simulations are provided to verify the effectiveness and feasibility of the proposed control scheme, which are in agreement with theoretical analysis.
引用
收藏
页码:35 / 55
页数:21
相关论文
共 32 条
[1]   Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters [J].
Al-Sawalha, M. Mossa ;
Noorani, M. S. M. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (04) :1036-1047
[2]   No-chattering sliding mode control chaos in Hindmarsh-Rose neurons with uncertain parameters [J].
Chen, Di-Yi ;
Zhao, Wei-Li ;
Ma, Xiao-Yi ;
Zhang, Run-Fan .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (10) :3161-3171
[3]   Global anti-synchronization of master-slave chaotic modified Chua's circuits coupled by linear feedback control [J].
Chen, Yun ;
Li, Minyong ;
Cheng, Zhifeng .
MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (3-4) :567-573
[4]   Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity [J].
Chiang, Tsung-Ying ;
Lin, Jui-Sheng ;
Liao, Teh-Lu ;
Yan, Jun-Juh .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) :2629-2637
[5]   Chaos and adaptive control in two prey, one predator system with nonlinear feedback [J].
El-Gohary, Awad ;
Al-Ruzaiza, A. S. .
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) :443-453
[6]   Ordering chaos and synchronization transitions by chemical delay and coupling on scale-free neuronal networks [J].
Gong, Yubing ;
Xie, Yanhang ;
Lin, Xiu ;
Hao, Yinghang ;
Ma, Xiaoguang .
CHAOS SOLITONS & FRACTALS, 2010, 43 (1-12) :96-103
[7]   A radial basis function sliding mode controller for chaotic Lorenz system [J].
Guo, HJ ;
Lin, SF ;
Liu, JH .
PHYSICS LETTERS A, 2006, 351 (4-5) :257-261
[8]   Adaptive control for anti-synchronization of Chua's chaotic system [J].
Hu, J ;
Chen, SH ;
Chen, L .
PHYSICS LETTERS A, 2005, 339 (06) :455-460
[9]   Robust decentralized direct adaptive output feedback fuzzy control for a class of large-sale nonaffine nonlinear systems [J].
Huang, Yi-Shao ;
Wu, Min .
INFORMATION SCIENCES, 2011, 181 (11) :2392-2404
[10]   Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties [J].
Li, H. Y. ;
Hu, Y. A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (10) :3904-3913