An open-plus-closed-loop control for discrete chaos and hyperchaos

被引:29
作者
Chen, LQ [1 ]
机构
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200030, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/S0375-9601(01)00055-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An open-plus-closed-loop control law is presented for chaotic maps. Some entrainment capabilities for the logistic map, the Henon map and a hyperchaotic map are respectively analyzed. Numerical examples of controlling chaos are given to demonstrate the application of the method. The robustness to the model error is proved. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:327 / 333
页数:7
相关论文
共 16 条
[1]  
[Anonymous], 1994, COPING CHAOS
[2]  
Chen G., 1997, CHAOS ORDER
[3]   A modified open-plus-closed-loop approach to control chaos in nonlinear oscillations [J].
Chen, LQ ;
Liu, YZ .
PHYSICS LETTERS A, 1998, 245 (1-2) :87-90
[4]   RESONANT STIMULATION AND CONTROL OF NONLINEAR OSCILLATORS [J].
HUBLER, A ;
LUSCHER, E .
NATURWISSENSCHAFTEN, 1989, 76 (02) :67-69
[5]  
JACKSON EA, 1990, PHYSICA D, V44, P407, DOI 10.1016/0167-2789(90)90155-I
[6]  
JACKSON EA, 1990, PHYS LETT A, V151, P478, DOI 10.1016/0375-9601(90)90465-Z
[7]   The OPCL control method for entrainment, model-resonance, and migration actions on multiple-attractor systems [J].
Jackson, EA .
CHAOS, 1997, 7 (04) :550-559
[8]   AN OPEN-PLUS-CLOSED-LOOP (OPCL) CONTROL OF COMPLEX DYNAMIC-SYSTEMS [J].
JACKSON, EA ;
GROSU, I .
PHYSICA D, 1995, 85 (1-2) :1-9
[9]  
JACKSON EA, 1991, PHYSICA D, V50, P341, DOI 10.1016/0167-2789(91)90004-S
[10]   ENTRAINMENT AND MIGRATION CONTROLS OF 2-DIMENSIONAL MAPS [J].
JACKSON, EA ;
KODOGEORGIOU, A .
PHYSICA D, 1992, 54 (03) :253-265