Further stability results for a generalization of delayed feedback control

被引:6
作者
Morgul, Omer [1 ]
机构
[1] Bilkent Univ, Dept Elect Eng, TR-06800 Ankara, Turkey
关键词
Chaotic systems; Chaos control; Delayed feedback; Pyragas controller; DISCRETE-TIME-SYSTEMS; CONTROLLING CHAOS; PERIODIC-ORBITS; STABILIZATION;
D O I
10.1007/s11071-012-0530-z
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, we consider the stabilization of unstable periodic orbits for one-dimensional and discrete time chaotic systems. Various control schemes for this problem are available and we consider a recent generalization of delayed control scheme. We prove that if a certain condition, which depends only on the period number, is satisfied then the stabilization is always possible. We will also present some simulation results.
引用
收藏
页码:1255 / 1262
页数:8
相关论文
共 16 条
[1]  
Chen G, 1999, From chaos to Order: Methodologies, Perspectives and Application
[2]  
DEVANEY RL, 1987, CHAOTIC DYNAMICAL SY
[3]   Control of chaos: Methods and applications in engineering [J].
Fradkov, AL ;
Evans, RJ .
ANNUAL REVIEWS IN CONTROL, 2005, 29 (01) :33-56
[4]   CONTROLLING CHAOS USING DIFFERENTIAL GEOMETRIC-METHOD [J].
FUH, CC ;
TUNG, PC .
PHYSICAL REVIEW LETTERS, 1995, 75 (16) :2952-2955
[5]  
Khalil H., 2002, Control of Nonlinear Systems
[6]   Stabilization of unstable periodic orbits for discrete time chaotic systems by using periodic feedback [J].
Morgül, Ö .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (02) :311-323
[7]  
Morgül Ö, 2005, PHYS LETT A, V335, P31, DOI 10.1016/j.physleta.2004.10.006
[8]   On the stabilization of periodic orbits for discrete time chaotic systems [J].
Morgül, Ö .
PHYSICS LETTERS A, 2005, 335 (2-3) :127-138
[9]   On the stability of delayed feedback controllers [J].
Morgül, Ö .
PHYSICS LETTERS A, 2003, 314 (04) :278-285
[10]   A NEW GENERALIZATION OF DELAYED FEEDBACK CONTROL [J].
Morgul, Omer .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (01) :365-377