Adaptive synchronization of two Lorenz systems

被引:128
作者
Liao, TL [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Engn Sci, Tainan 70101, Taiwan
关键词
D O I
10.1016/S0960-0779(97)00161-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper treats the synchronization problem of two Lorenz systems in the presence of unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law is derived such that the two Lorenz systems are to be synchronized. A robust adaptive control law is also presented to guarantee the robustness of the synchronization against a bounded disturbance. Simulation results are given to demonstrate the effectiveness and robustness of the proposed control schemes. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1555 / 1561
页数:7
相关论文
共 15 条
[1]   Synchronization in the Lorenz system: Stability and robustness [J].
Alvarez, J .
NONLINEAR DYNAMICS, 1996, 10 (01) :89-103
[2]   Synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 1997, 8 (01) :51-58
[3]  
BERNARDO MD, 1996, INT J BIFURCAT CHAOS, V6, P557
[4]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[5]  
Ioannou PA., 1996, ROBUST ADAPTIVE CONT, V1
[6]   CONTINUOUS CONTROL AND SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
KAPITANIAK, T .
CHAOS SOLITONS & FRACTALS, 1995, 6 :237-244
[7]   PERIODIC LOCKING IN COUPLED LORENZ SYSTEMS [J].
LIU, YD ;
BARBOSA, LC .
PHYSICS LETTERS A, 1995, 197 (01) :13-18
[8]   TRANSMISSION OF SIGNALS BY SYNCHRONIZATION IN A CHAOTIC VANDERPOL-DUFFING OSCILLATOR [J].
MURALI, K ;
LAKSHMANAN, M .
PHYSICAL REVIEW E, 1993, 48 (03) :R1624-R1626
[9]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[10]  
Sparrow C., 1982, LORENZ EQUATIONS BIF