Linear feedback control of Hopf bifurcation in Langford system

被引：10
|
作者：
Liu Su-Hua [1 ]
Tang Jia-Shi
机构：
[1] Hunan Univ, Coll Mech & Aerosp, Changsha 410082, Peoples R China
[2] Anyang Inst Technol, Anyang 455000, Peoples R China
来源：
ACTA PHYSICA SINICA | 2007年 / 56卷 / 06期
关键词：
Langford system; feedback control; Hopf bifurcation; limit cycle;
D O I：
10.7498/aps.56.3145
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Hopf bifurcation characteristic in Langford system is analyzed and the control of Hopf bifurcation in this system is investigated by means of the method of linear state feedback control. The condition in which Hopf bifurcation occurs in the controlled system is arrived at in analysis and the analytical expressions of the limit cycles are obtained. Hopf bifurcation points are transformed and the stability of the limit cycles is controlled. The analytical results on controlling Hopf bifurcation points via the controllers agree well with the numerical results.
引用
收藏
页码：3145 / 3151
页数：7
相关论文
共 16 条
  • [1] LOCAL FEEDBACK STABILIZATION AND BIFURCATION CONTROL .1. HOPF-BIFURCATION
    ABED, EH
    FU, JH
    [J]. SYSTEMS & CONTROL LETTERS, 1986, 7 (01) : 11 - 17
  • [2] LOCAL FEEDBACK STABILIZATION AND BIFURCATION CONTROL .2. STATIONARY BIFURCATION
    ABED, EH
    FU, JH
    [J]. SYSTEMS & CONTROL LETTERS, 1987, 8 (05) : 467 - 473
  • [3] ALI HN, 1979, NONLINEAR OSCILLATIO, P264
  • [4] Anti-control of Hopf bifurcations
    Chen, DS
    Wang, HO
    Chen, GR
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2001, 48 (06) : 661 - 672
  • [5] Bifurcation control: Theories, methods, and applications
    Chen, GR
    Moiola, JL
    Wang, HO
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (03): : 511 - 548
  • [6] Superharmonic resonance bifurcation control of parametrically excited system based on state feedback strategy
    Fu, WB
    Tang, JS
    [J]. ACTA PHYSICA SINICA, 2004, 53 (09) : 2889 - 2893
  • [7] LI BX, 1984, PEROIDIC ORIBITS HIG, P121
  • [8] Linear state feedback control for a new chaotic system
    Li, RH
    Xu, W
    Li, S
    [J]. ACTA PHYSICA SINICA, 2006, 55 (02) : 598 - 604
  • [9] Analysis of stochastic bifurcation and chaos in stochastic Duffing-van der Pol system via Chebyshev polynomial approximation
    Ma Shao-Juan
    Xu Wei
    Li Wei
    Fang Tong
    [J]. CHINESE PHYSICS, 2006, 15 (06): : 1231 - 1238
  • [10] MA ZE, 2003, QUALITY STABILITY ME, P205
12