TRACKING CONTROL AND THE BACKSTEPPING DESIGN OF SYNCHRONIZATION CONTROLLER FOR CHEN SYSTEM

被引：4

作者：

Wang, Xingyuan ^{[1
]}

Zhang, Jing ^{[1
]}

机构：

[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 28期

基金：

中国国家自然科学基金;

关键词：

Chen system; tracking control; chaotic synchronization; Backstepping method; CONTROLLING CHAOS; FEEDBACK-CONTROL;

D O I：

10.1142/S0217979211059073

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper presents tracking control and synchronization strategies for Chen system. Two universal controllers, a tracking controller and a synchronization controller based on Backstepping design method were designed. It is proved theoretically that the tracking controller enables the error signal exponentially to converge to zero. The validity of Backstepping synchronization controller is also proved. Numerical simulations further validated the two controllers.

引用

页码：3815 / 3824

页数：10

共 15 条

[1] SYNCHRONIZING CHAOTIC CIRCUITS [J].

CARROLL, TL ;

PECORA, LM .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456

[2]

CHEN GR, 2003, DYNAMICAL ANAL CONTR, P33

[3] Adaptive synchronization of chaotic systems via. linear balanced feedback control [J].

Chen, Heng-Hui .

JOURNAL OF SOUND AND VIBRATION, 2007, 306 (3-5) :865-876

[4] Controlling hyperchaos of the Rossler system [J].

Hsieh, JY ;

Hwang, CC ;

Wang, AP ;

Li, WJ .

INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (10) :882-886

[5]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[6]

[7] CONTROLLING CHAOS [J].

OTT, E ;

GREBOGI, C ;

YORKE, JA .

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

[8] Adaptive modified projective synchronization of a unified chaotic system with an uncertain parameter [J].

Park, Ju H. .

CHAOS SOLITONS & FRACTALS, 2007, 34 (05) :1552-1559

[9] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

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

[10] Chaos control and synchronization, with input saturation, via recurrent neural networks [J].

Sanchez, EN ;

Ricalde, LJ .

NEURAL NETWORKS, 2003, 16 (5-6) :711-717

← 1 2 →