ON LYAPUNOV CONTROL OF THE DUFFING EQUATION

被引:131
作者
NIJMEIJER, H [1 ]
BERGHUIS, H [1 ]
机构
[1] HOLLANDSE SIGNAALAPPARATEN BV,DEPT RDT,R&S,MFE,SER,7550 GD HENGELO,NETHERLANDS
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1995年 / 42卷 / 08期
关键词
D O I
10.1109/81.404059
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this brief, we develop feedback control strategies for a chaotic dynamic system such as the Duffing equation. Our controllers are of the so-called Lyapunov-type and are inspired by robot manipulator feedback controls. The different controllers we propose include observer-based controllers that even can cope with parametric uncertainties of the original system. Some simulation examples support the developed methods.
引用
收藏
页码:473 / 477
页数:5
相关论文
共 20 条
  • [1] Berghuis H., 1993, IEEE T ROBOTIC AUTOM, V9, P940
  • [2] BERGHUIS H, 1993, THESIS U TWENTE ENSC
  • [3] CHEN G, 1994, CONSTROL SYNCHRONIZA
  • [4] ON FEEDBACK-CONTROL OF CHAOTIC CONTINUOUS-TIME SYSTEMS
    CHEN, GR
    DONG, XN
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (09): : 591 - 601
  • [5] FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
    Chen, Guanrong
    Dong, Xiaoning
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06): : 1363 - 1409
  • [6] CONTROLS OF DYNAMIC FLOWS WITH ATTRACTORS
    JACKSON, EA
    [J]. PHYSICAL REVIEW A, 1991, 44 (08): : 4839 - 4853
  • [7] JACKSON EA, 1991, PHYSICA D, V50, P341, DOI 10.1016/0167-2789(91)90004-S
  • [8] Khalil H.K., 1992, NONLINEAR SYSTEMS
  • [9] KODITSCHEK D, 1989, ROBOTICS REV, V1, P349
  • [10] Nijmeijer H., 1990, NONLINEAR DYNAMICAL