Adaptive synchronization of chaotic systems with unknown bounded uncertainties via backstepping approach

被引:26
作者
Bowong, Samuel [1 ]
机构
[1] Univ Douala, Fac Sci, Dept Math & Comp Sci, Lab Appl Math, Douala, Cameroon
关键词
adaptive synchronization; backstepping approach; chaotic systems; observers;
D O I
10.1007/s11071-006-9103-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Backstepping design is proposed for adaptive synchronization of a class of chaotic systems with unknown bounded uncertainties. An adaptive backstepping control law is derived to make the error signals between the master and slave systems asymptotically synchronized without knowing the upper-bounds of the uncertainties in advance. The stability analysis is proved by using a well-known Lyapunov stability. Two illustrative examples are presented to show the effectiveness of the proposed adaptive chaos synchronization.
引用
收藏
页码:59 / 70
页数:12
相关论文
共 32 条
[21]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[22]  
Park JH, 2005, INT J NONLIN SCI NUM, V6, P201
[23]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[24]  
PIKOVSKY A, 2002, SYNCHRONIZATION UNIV, P500
[25]  
SUSSMAN HJ, 1991, IEEE T AUTOMATIC CON, V26, P36
[26]   Synchronizing chaotic systems using backstepping design [J].
Tan, XH ;
Zhang, JY ;
Yang, YR .
CHAOS SOLITONS & FRACTALS, 2003, 16 (01) :37-45
[27]   Adaptive synchronization of uncertain chaotic systems via backstepping design [J].
Wang, C ;
Ge, SS .
CHAOS SOLITONS & FRACTALS, 2001, 12 (07) :1199-1206
[28]   A new adaptive variable structure control for chaotic synchronization and secure communication [J].
Wang, CC ;
Su, JP .
CHAOS SOLITONS & FRACTALS, 2004, 20 (05) :967-977
[29]   Parameter identification and backstepping control of uncertain Lu system [J].
Wu, XQ ;
Lu, JA .
CHAOS SOLITONS & FRACTALS, 2003, 18 (04) :721-729
[30]   Master-slave synchronization of Lur'e systems with time-delay [J].
Yalçin, ME ;
Suykens, JAK ;
Vandewalle, J .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (06) :1707-1722