Synchronization for a class of chaotic systems based upon observer theory

被引：20

作者：

Liu, F ^{[1
]}

Ren, Y

Shan, XM

Qiu, ZL

机构：

[1] Tsing Hua Univ, Dept Elect, Beijing 100084, Peoples R China

[2] Xian Jiao Tong Univ, Dept Automat Control, Xian 710049, Peoples R China

来源：

CHINESE PHYSICS | 2001年 / 10卷 / 07期

关键词：

synchronization; chaos; observer;

D O I：

10.1088/1009-1963/10/7/304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new synchronisation theorem for a class of chaotic systems is presented based on nonlinear observer theory. We take the first state variable of the drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is proven that global synchronization can be attained through simple linear output error feedback. This approach is illustrated by the WGY hyperchaotic system and Chua's oscillator.

引用

页码：606 / 610

页数：5

共 7 条

[1] Absolute stability theory and master-slave synchronization [J].

Curran, PF ;

Suykens, JAK ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (12) :2891-2896

[2] A nonlinear state feedback approach to the control and synchronization of continuous-time chaotic systems [J].

Gao, JF ;

Luo, XJ ;

Ma, XK ;

Pan, XQ ;

Wang, JK .

ACTA PHYSICA SINICA, 1999, 48 (09) :1618-1627

[3] A SIMPLE OBSERVER FOR NONLINEAR-SYSTEMS APPLICATIONS TO BIOREACTORS [J].

GAUTHIER, JP ;

HAMMOURI, H ;

OTHMAN, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) :875-880

[4] An observer looks at synchronization [J].

Nijmeijer, H ;

Mareels, IMY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :882-890

[5] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[6] DRIVING SYSTEMS WITH CHAOTIC SIGNALS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW A, 1991, 44 (04) :2374-2383

[7] A global synchronization theorem for a class of chaotic systems [J].

Wang, XF ;

Wang, ZQ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (06) :1363-1369

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