A novel boundedness-based linear and nonlinear approach to control chaos

被引：9

作者：

Zhang, H ^{[1
]}

Ma, XK

Xue, BL

机构：

[1] Xian Jiaotong Univ, Sch Elect Engn, Grp Theory & New Technol Elect Engn, Xian 710061, Peoples R China

[2] Xian Jiaotong Univ, Coll Med, Xian 710049, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2004.02.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A novel linear and nonlinear method is proposed to control chaos in terms of the boundedness of a chaotic attractor. A sufficient condition is drawn for the stability of the controlled chaotic system and is applied to guiding the controller design. Finally, numerical experiments verify the effectiveness of the proposed control technique. (C) 2004 Elsevier Ltd. All rights reserved.

引用

收藏

页码：433 / 442

页数：10

相关论文

共 22 条

[1] The control of chaos: Theoretical schemes and experimental realizations [J].

Arecchi, FT ;

Boccaletti, S ;

Ciofini, M ;

Meucci, R ;

Grebogi, C .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (08) :1643-1655

[2] Controlling chaos and the inverse Frobenius-Perron problem: Global stabilization of arbitrary invariant measures [J].

Bollt, EM .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (05) :1033-1050

[3]

Chen G., 1999, CONTROLLING CHAOS BI

[4] Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].

Chen, MY ;

Han, ZZ .

CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716

[5] Control and synchronization of chaos in high dimensional systems: Review of some recent results [J].

Ding, MZ ;

Ding, EJ ;

Ditto, WL ;

Gluckman, B ;

In, V ;

Peng, JH ;

Spano, ML ;

Yang, WM .

CHAOS, 1997, 7 (04) :644-652

[6] Chaos control of third-order phase-locked loops using backstepping nonlinear controller [J].

Harb, AM ;

Harb, BA .

CHAOS SOLITONS & FRACTALS, 2004, 20 (04) :719-723

[7] A new feedback control of a modified Chua's circuit system [J].

Hwang, CC ;

Chow, HY ;

Wang, YK .

PHYSICA D-NONLINEAR PHENOMENA, 1996, 92 (1-2) :95-100

[8] A linear continuous feedback control of Chua's circuit [J].

Hwang, CC ;

Hsieh, JY ;

Lin, RS .

CHAOS SOLITONS & FRACTALS, 1997, 8 (09) :1507-1515

[9] Controlling the complex Lorenz equations by modulation [J].

Kociuba, G ;

Heckenberg, NR .

PHYSICAL REVIEW E, 2002, 66 (02) :1-026205

[10]

Li ZG, 2001, IEEE T AUTOMAT CONTR, V46, P894, DOI 10.1109/9.928590