On feedback control of delayed chaotic system

被引:27
作者
Li, L [1 ]
Peng, HP [1 ]
Lu, HB [1 ]
Guan, XP [1 ]
机构
[1] Yanshan Univ, Qinhuangdao 066004, Peoples R China
来源
CHINESE PHYSICS | 2001年 / 10卷 / 09期
关键词
chaos control; stabilization; Lyapunov equation; feedback control;
D O I
10.1088/1009-1963/10/9/305
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this, paper two different types of feedback control technique are discussed: the standard feedback control and the time-delay feedback control which have been successfully used in many control systems. In order to understand to what extent the two, different types of control technique are useful in delayed chaotic systems, some analytic stabilization conditions for chaos control from the two types of control technique are derived based on Lyapunov stabilization arguments. Similarly, we discuss the tracking problem by applying the time-delay feedback control. Finally, numerical examples are provided.
引用
收藏
页码:796 / 804
页数:9
相关论文
共 50 条
[1]   NONLINEAR FEEDBACK FOR CONTROLLING THE LORENZ EQUATION [J].
ALVAREZRAMIREZ, J .
PHYSICAL REVIEW E, 1994, 50 (03) :2339-2342
[2]   STABILIZATION AND CHARACTERIZATION OF UNSTABLE STEADY-STATES IN A LASER [J].
BIELAWSKI, S ;
BOUAZAOUI, M ;
DEROZIER, D ;
GLORIEUX, P .
PHYSICAL REVIEW A, 1993, 47 (04) :3276-3279
[3]   Stability of periodic orbits controlled by time-delay feedback [J].
Bleich, ME ;
Socolar, JES .
PHYSICS LETTERS A, 1996, 210 (1-2) :87-94
[4]   TRANSITION TO CHAOS FROM A TWO-TORUS IN A DELAYED FEEDBACK SYSTEM [J].
Boe, Eugene ;
Chang, Hsueh-Chia .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (01) :67-81
[5]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[6]   Feedback control of a quadratic map model of cardiac chaos [J].
Brandt, ME ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (04) :715-723
[7]   Controlling the dynamical behavior of a circle map model of the human heart [J].
Brandt, ME ;
Chen, GR .
BIOLOGICAL CYBERNETICS, 1996, 74 (01) :1-8
[8]   Recovery of the time-evolution equation of time-delay systems from time series [J].
Bunner, MJ ;
Meyer, T ;
Kittel, A ;
Parisi, J .
PHYSICAL REVIEW E, 1997, 56 (05) :5083-5089
[9]  
Chen G., 1998, CHAOS ORDER METHODOL
[10]   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