Synchronizing chaotic systems using backstepping design

被引：187

作者：

Tan, XH ^{[1
]}

Zhang, JY

Yang, YR

机构：

[1] SW Jiaotong Univ, Dept Appl Mech & Engn, Chengdu 610031, Peoples R China

[2] SW Jiaotong Univ, Natl Power Tract Lab, Chengdu 610031, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 16卷 / 01期

关键词：

D O I：

10.1016/S0960-0779(02)00153-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller. In this paper it is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents a systematic procedure for selecting a proper controller in chaos synchronization; (b) it can be applied to a variety of chaotic systems whether they contain external excitation or not; (c) it needs only one controller to realize synchronization between chaotic systems; (d) there is no derivatives in controller, so it is easy to be complemented. Examples of Lorenz system, Chua's circuit and Duffing system are presented. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：37 / 45

页数：9

共 10 条

[1] Synchronization and control of chaotic systems
Bai, EW
Lonngren, KE
[J]. CHAOS SOLITONS & FRACTALS, 1999, 10 (09) : 1571 - 1575
[2] Synchronization of two Lorenz systems using active control
Bai, EW
Lonngren, KE
[J]. CHAOS SOLITONS & FRACTALS, 1997, 8 (01) : 51 - 58
[3] SYNCHRONIZING CHAOTIC CIRCUITS
CARROLL, TL
PECORA, LM
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04): : 453 - 456
[4] SYNCHRONIZATION OF LORENZ-BASED CHAOTIC CIRCUITS WITH APPLICATIONS TO COMMUNICATIONS
CUOMO, KM
OPPENHEIM, AV
STROGATZ, SH
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10): : 626 - 633
[5] Kristic M., 1995, Nonlinear and Adaptive Control Design
[6] Adaptive synchronization of chaotic systems and its application to secure communications
Liao, TL
Tsai, SH
[J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (09) : 1387 - 1396
[7] Adaptive synchronization of two Lorenz systems
Liao, TL
[J]. CHAOS SOLITONS & FRACTALS, 1998, 9 (09) : 1555 - 1561
[8] Controlling chaotic dynamics using backstepping design with application to the Lorenz system and Chua's circuit
Mascolo, S
Grassi, G
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1425 - 1434
[9] CONTROLLING CHAOS
OTT, E
GREBOGI, C
YORKE, JA
[J]. PHYSICAL REVIEW LETTERS, 1990, 64 (11) : 1196 - 1199
[10] On the invariance principle: Generalizations and applications to synchronization
Rodrigues, HM
Alberto, LFC
Bretas, NG
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (05): : 730 - 739

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