Chaos, chaos control and synchronization of electro-mechanical gyrostat system

被引:61
作者
Ge, ZM [1 ]
Lin, TN [1 ]
机构
[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu 30050, Taiwan
关键词
D O I
10.1006/jsvi.2002.5110
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The dynamic behavior of electro-mechanical gyrostat system subjected to external disturbance is studied in this paper. By applying numerical results, phase diagrams, power spectrum, Period-T maps, and Lyapunov exponents are presented to observe periodic and chaotic motions. The effect of the parameters changed in the system can be found in the bifurcation and parametric diagrams. Several methods, the delayed feedback control, adaptive control algorithm (ACA) control are used to control chaos effectively. Anticontrol of chaos destroyed the periodic motions and replaced by chaotic motion effectively by adding constant motor torque and adding periodic motor torque. Finally, synchronization of chaos in the electro-mechanical gyrostat system is studied. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:585 / 603
页数:19
相关论文
共 25 条
  • [1] BOLTON W, 1999, MECHATRONICS
  • [2] TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS
    BRAIMAN, Y
    GOLDHIRSCH, I
    [J]. PHYSICAL REVIEW LETTERS, 1991, 66 (20) : 2545 - 2548
  • [3] Brockett R. W., 1982, Proceedings of the 21st IEEE Conference on Decision & Control, P932
  • [4] Chen G., 1998, CHAOS ORDER
  • [5] DOBRIVOJIE P, 1999, MECHATRONICS ENG DES
  • [6] FAN WX, 2000, CHAOS, V10, P77
  • [7] FRASER, 1994, ELECT MECH ENG
  • [8] THE LIAPUNOV DIMENSION OF STRANGE ATTRACTORS
    FREDERICKSON, P
    KAPLAN, JL
    YORKE, ED
    YORKE, JA
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 49 (02) : 185 - 207
  • [9] Chaos, chaos control and synchronization of a gyrostat system
    Ge, ZM
    Lin, TN
    [J]. JOURNAL OF SOUND AND VIBRATION, 2002, 251 (03) : 519 - 542
  • [10] DYNAMICS OF ADAPTIVE SYSTEMS
    HUBERMAN, BA
    LUMER, E
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (04): : 547 - 550