Control based on Wash-Out-Filter for Hopf bifurcation of nonlinear systems

被引：0
|
作者：
An, Yi-Chun [1 ]
Zhang, Qing-Ling [1 ]
Zhang, Yan [1 ]
Su, Zhan [1 ]
机构：
[1] School of Sciences, Northeastern University, Shenyang 110004, China
来源：
Dongbei Daxue Xuebao/Journal of Northeastern University | 2008年 / 29卷 / 10期
关键词：
Bandpass filters - Feedback control - Nonlinear systems - State feedback;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Hopf bifurcation frequently results in periodical oscillation even unstability. Therefore, based on wash-out-filter, a state feedback controller is designed for Hopf bifurcation of the nonlinear systems. With the equilibrium points remaining unchanged, the original subcritical Hopf bifurcation is transformed into supercritical one, which is thus ensured to be asymptotically stable in the range of expected parameters in controlled system. The 1-D and 2-D nonlinear systems are both exemplified to show the effectiveness of the propose method.
引用
收藏
页码：1381 / 1384
相关论文
共 50 条
  • [21] Andronov–Hopf Bifurcation in Control Systems with Nonsmooth Functions
    R. I. Gabdrahmanov
    Lobachevskii Journal of Mathematics, 2024, 45 (6) : 2678 - 2687
  • [22] Control of Hopf Bifurcation Type of a Neuron Model Using Washout Filter
    Yuan, Chunhua
    Li, Xiangyu
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [23] Embedding nonlinear systems with two or more harmonic phase terms near the Hopf–Hopf bifurcation
    V. Eclerová
    L. Přibylová
    A. E. Botha
    Nonlinear Dynamics, 2023, 111 : 1537 - 1551
  • [24] AVERAGING METHODS OF MULTIFREQUENCY HOPF-BIFURCATION IN NONLINEAR VIBRATION SYSTEMS
    LIN, R
    CHEN, YS
    KEXUE TONGBAO, 1987, 32 (04): : 284 - 285
  • [25] A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory
    Amano, Hiroyuki
    Kumano, Teruhisa
    Inoue, Toshio
    Taniguchi, Haruhito
    1600, John Wiley and Sons Inc. (139):
  • [26] LOCAL HOPF BIFURCATION OF COMPLEX NONLINEAR SYSTEMS WITH TIME-DELAY
    Li, Jun Yu
    Wang, Zai Hua
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (03): : 1069 - 1079
  • [27] Response Analysis at Near Critical Point of Hopf Bifurcation in Nonlinear Systems
    Chen, Yu Dong
    Pei, Chun Yan
    Chen, Su Huan
    Liu, Xiao Jun
    Zhang, Jun Xing
    ADVANCES IN MECHANICAL DESIGN, PTS 1 AND 2, 2011, 199-200 : 1098 - 1101
  • [28] A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory
    Amano, H
    Kumano, T
    Inoue, T
    Taniguchi, H
    ELECTRICAL ENGINEERING IN JAPAN, 2002, 139 (04) : 1 - 8
  • [29] Hopf bifurcation for a class of three-dimensional nonlinear dynamic systems
    Wang, Qinlong
    Liu, Yirong
    Chen Haibo
    BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 134 (07): : 786 - 798
  • [30] Nonlinear feedback control of Hopf bifurcation in a relative rotation dynamical system
    Liu Shuang
    Liu Bin
    Shi Pei-Ming
    ACTA PHYSICA SINICA, 2009, 58 (07) : 4383 - 4389
12345