Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller

被引：35

作者：

Laoye, J. A. ^{[1
]}

Vincent, U. E. ^{[1
]}

Kareem, S. O. ^{[1
]}

机构：

[1] Olabisi Onabanjo Univ, Nonlinear & Stat Phys Res Grp, Dept Phys, Ago Iwoye, Nigeria

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 01期

关键词：

DELAYED FEEDBACK-CONTROL; PERIODIC-ORBITS; STABILIZATION; SYNCHRONIZATION; TRACKING;

D O I：

10.1016/j.chaos.2007.04.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines chaos control of two four-dimensional chaotic systems, namely: the Lorenz-Stenflo (LS) system that models low-frequency short-wavelength gravity waves and a new four-dimensional chaotic system (Qi systems), containing three cross products. The control analysis is based on recursive backstepping design technique and it is shown to be effective for the 4D systems considered. Numerical simulations are also presented. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：356 / 362

页数：7

共 45 条

[1] On the application of adaptive control and phase synchronization in non-linear fluid dynamics [J].

Banerjee, S ;

Saha, P ;

Chowdhury, AR .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2004, 39 (01) :25-31

[2] Chaotic scenario in the Stenflo equations [J].

Banerjee, S ;

Saha, P ;

Chowdhury, AR .

PHYSICA SCRIPTA, 2001, 63 (03) :177-180

[3] CONTROLLING UNSTABLE PERIODIC-ORBITS BY A DELAYED CONTINUOUS FEEDBACK [J].

BIELAWSKI, S ;

DEROZIER, D ;

GLORIEUX, P .

PHYSICAL REVIEW E, 1994, 49 (02) :R971-R974

[4] The control of chaos: theory and applications [J].

Boccaletti, S ;

Grebogi, C ;

Lai, YC ;

Mancini, H ;

Maza, D .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (03) :103-197

[5]

Chen G., 1998, CHAOS ORDER METHODOL

[6] On time-delayed feedback control of chaotic systems [J].

Chen, GR ;

Yu, XH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (06) :767-772

[7] Real-time experimental control of a system in its chaotic and nonchaotic regimes [J].

Christini, DJ ;

In, V ;

Spano, ML ;

Ditto, WL ;

Collins, JJ .

PHYSICAL REVIEW E, 1997, 56 (04) :R3749-R3752

[8] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214

[9]

Ercan S., 2001, PHYS LETT A, V279, P47

[10] STABILIZING UNSTABLE PERIODIC-ORBITS IN A FAST DIODE RESONATOR USING CONTINUOUS TIME-DELAY AUTOSYNCHRONIZATION [J].

GAUTHIER, DJ ;

SUKOW, DW ;

CONCANNON, HM ;

SOCOLAR, JES .

PHYSICAL REVIEW E, 1994, 50 (03) :2343-2346

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