Experimental and analytical study of dither signals in a class of chaotic systems

被引:19
作者
Fuh, CC
Tung, PC
机构
[1] Department of Mechanical Engineering, National Central University
关键词
D O I
10.1016/S0375-9601(97)00153-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method for controlling a class of chaotic systems by injecting another external input, called a dither signal, into the systems, just ahead of the nonlinearities is given. The method is robust to measurement noise due to no state being fed back and applicable to experimental situations in which the system parameters are unknown and unalterable. Two numerical examples and one experimental test are performed to demonstrate the feasibility of the method. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:228 / 234
页数:7
相关论文
共 29 条
[1]  
[Anonymous], 1986, NONLINEAR DYNAMICAL
[2]  
[Anonymous], 2012, Practical numerical algorithms for chaotic systems
[3]   CONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS [J].
AUERBACH, D ;
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1992, 69 (24) :3479-3482
[4]   RANDOM DITHER MODULATION OF A RING-LASER GYROSCOPE [J].
BAMBINI, A ;
STENHOLM, S .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1987, 4 (02) :148-163
[5]   THEORY OF A DITHERED-RING-LASER GYROSCOPE - A FLOQUET-THEORY TREATMENT [J].
BAMBINI, A ;
STENHOLM, S .
PHYSICAL REVIEW A, 1985, 31 (01) :329-337
[6]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[7]   ADAPTIVE-CONTROL OF CHAOTIC SYSTEMS IN A NOISY ENVIRONMENT [J].
CAZELLES, B ;
BOUDJEMA, G ;
CHAU, NP .
PHYSICS LETTERS A, 1995, 196 (5-6) :326-330
[8]   FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS [J].
Chen, Guanrong ;
Dong, Xiaoning .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06) :1363-1409
[9]  
CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250
[10]   EXPERIMENTAL CONTROL OF CHAOS [J].
DITTO, WL ;
RAUSEO, SN ;
SPANO, ML .
PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214