Observer-based exact synchronization of ideal and mismatched chaotic systems

被引:65
作者
Feki, M [1 ]
机构
[1] Univ Reims, Dept EEA, UFR Sci Exactes, F-51687 Reims 2, France
关键词
chaotic systems; chaos synchronization; state observers; sliding mode; secure communication;
D O I
10.1016/S0375-9601(03)00171-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, an observer-based chaotic synchronization scheme is proposed. Our method concerns chaotic systems having special triangular form. Using the sliding mode theory, the synchronization of the response system with the drive system is achieved in finite time. An application to secure chaotic communication is also proposed. To demonstrate the efficiency of the proposed scheme, two well-known chaotic systems: Lur'e-like system and Duffing equation are considered as illustrative examples. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:53 / 60
页数:8
相关论文
共 21 条
[1]  
[Anonymous], 2011, PROC IFAC WORLD C
[2]   Synchronization and control of chaotic systems [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 1999, 10 (09) :1571-1575
[3]   A method for the synchronization of hyperchaotic circuits [J].
Brucoli, M ;
Carnimeo, L ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (09) :1673-1681
[4]   CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV .
PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68
[5]   SYNCHRONIZATION OF LORENZ-BASED CHAOTIC CIRCUITS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV ;
STROGATZ, SH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10) :626-633
[6]   Adaptive synchronization of two Lorenz systems [J].
Liao, TL .
CHAOS SOLITONS & FRACTALS, 1998, 9 (09) :1555-1561
[7]   A linear feedback synchronization theorem for a class of chaotic systems [J].
Liu, F ;
Ren, Y ;
Shan, XM ;
Qiu, ZL .
CHAOS SOLITONS & FRACTALS, 2002, 13 (04) :723-730
[8]   Synchronization of chaotic systems by using occasional coupling [J].
Morgul, O ;
Feki, M .
PHYSICAL REVIEW E, 1997, 55 (05) :5004-5010
[9]   Observer based synchronization of chaotic systems [J].
Morgul, O ;
Solak, E .
PHYSICAL REVIEW E, 1996, 54 (05) :4803-4811
[10]   On the synchronization of chaotic systems by using state observers [J].
Morgul, O ;
Solak, E .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (06) :1307-1322