Adaptive chaos synchronization based on LMI technique

被引:14
作者
Chen, Fengxiang [1 ]
Wang, Wei
Chen, Lin
Zhang, Weidong
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Lulea Univ Technol, Dept Space Sci, S-97187 Lulea, Sweden
关键词
D O I
10.1088/0031-8949/75/3/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The paper investigates the robust synchronization for two identical uncertain chaotic systems with different parameters perturbation and external disturbances. Based on Lyapunov stability theory, linear matrix inequality (LMI) techniques and adaptive techniques, a novel controller is proposed. With the resulting controller, global asymptotical synchronization between two identical uncertain chaotic systems is achieved. Finally, a Lorenz system is given as an example to verify the effectiveness of the proposed controller.
引用
收藏
页码:285 / 288
页数:4
相关论文
共 20 条
[1]   Synchronization criteria of Lur'e systems with time-delay feedback control [J].
Cao, JD ;
Li, HX ;
Ho, DWC .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1285-1298
[2]  
Chen G., 1998, CHAOS ORDER METHODOL
[3]   Adaptive synchronization of uncertain Rossler hyperchaotic system based on parameter identification [J].
Chen, SH ;
Hu, J ;
Wang, CP ;
Lü, JH .
PHYSICS LETTERS A, 2004, 321 (01) :50-55
[4]  
Chen SH, 2002, CHINESE PHYS, V11, P543, DOI 10.1088/1009-1963/11/6/305
[5]   Switching manifold approach to chaos synchronization [J].
Fang, JQ ;
Hong, YG ;
Chen, GR .
PHYSICAL REVIEW E, 1999, 59 (03) :R2523-R2526
[6]   Adaptive synchronization of unidirectional and mutual coupled chaotic systems [J].
Ge, ZM ;
Chen, YS .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :881-888
[7]  
GRASSI G, INT J BIFURCATION CH, V9, P705
[8]   Conditions for impulsive synchronization of chaotic and hyperchaotic system [J].
Itoh, M ;
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (02) :551-560
[9]   Adaptive synchronization design for chaotic systems via a scalar driving signal [J].
Lian, KY ;
Liu, P ;
Chiang, TS ;
Chiu, CS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (01) :17-27
[10]  
Lu JA, 2003, APPL MATH MECH-ENGL, V24, P1309