An adaptive approach for realizing any continuous time scalar(hyper)chaotic signal synchronization control

被引：3

作者：

Gao, JF ^{[1
]}

Ma, XK ^{[1
]}

Luo, XJ ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Coll Elect Engn, Xian 710049, Peoples R China

来源：

ACTA PHYSICA SINICA | 2000年 / 49卷 / 07期

关键词：

chaos; synchronigation; adaptive control;

D O I：

10.7498/aps.49.1235

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the nonlinear feedback approach for realizing any continuous time scalar(hyper) chaotic signal synchronization control,we have designed an adaptive feedback controller for controlling the scaler output signal of a smooth(hyper) chaotic system to synchronize with any continuous time scalar(hyper) chaotic signal under some assumptions. The result, which is rigorously proved by means of stability theory, not only can adaptively estimate the control parameter, but also has some robustness against parameter variations and external disturbances. An application to the synchronization of two (hyper) chaotic systems is given.

引用

页码：1235 / 1240

页数：6

共 9 条

[1] FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS [J].

Chen, Guanrong ;

Dong, Xiaoning .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06) :1363-1409

[2] A purely adaptive controller to synchronize and control chaotic systems [J].

diBernardo, M .

PHYSICS LETTERS A, 1996, 214 (3-4) :139-144

[3] A nonlinear feedback approach for realizing any continuous time scalar (hyper) chaotic signal synchronization control [J].

Gao, JF ;

Luo, XJ ;

Ma, XK .

ACTA PHYSICA SINICA, 2000, 49 (05) :838-843

[4] 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

[5] Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal [J].

Grassi, G ;

Mascolo, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :1011-1014

[6] CONTROLLING CHAOS [J].

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199

[7]

Wang XF, 1998, IEEE T CIRCUITS-I, V45, P1101, DOI 10.1109/81.728864

[8] A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL-SYSTEMS [J].

WU, CW ;

CHUA, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (04) :979-998

[9] On adaptive synchronization and control of nonlinear dynamical systems [J].

Wu, CW ;

Yang, T ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (03) :455-471

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