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速度时滞反馈控制下磁浮系统的稳定性与Hopf分岔

王洪坡 李杰 张锟

王洪坡 李杰 张锟, . 速度时滞反馈控制下磁浮系统的稳定性与Hopf分岔. 自动化学报, 2007, 33(8): 829-834. doi: 10.1360/aas-007-0829
引用本文: 王洪坡 李杰 张锟, . 速度时滞反馈控制下磁浮系统的稳定性与Hopf分岔. 自动化学报, 2007, 33(8): 829-834. doi: 10.1360/aas-007-0829
WANG Hong-Po, LI Jie, ZHANG Kun. Stability and Hopf Bifurcation of the Maglev System with Delayed Speed Feedback Control. ACTA AUTOMATICA SINICA, 2007, 33(8): 829-834. doi: 10.1360/aas-007-0829
Citation: WANG Hong-Po, LI Jie, ZHANG Kun. Stability and Hopf Bifurcation of the Maglev System with Delayed Speed Feedback Control. ACTA AUTOMATICA SINICA, 2007, 33(8): 829-834. doi: 10.1360/aas-007-0829

速度时滞反馈控制下磁浮系统的稳定性与Hopf分岔

doi: 10.1360/aas-007-0829

Stability and Hopf Bifurcation of the Maglev System with Delayed Speed Feedback Control

More Information
    Corresponding author: WANG Hong-Po
  • 摘要: The problem of time delay speed feedback in the control loop is considered here. Its effects on the linear stability and dynamic behavior of the maglev system are investigated. It is found that a Hopf bifurcation can take place when the time delay exceeds certain values. The stability condition of the maglev system with the time delay is acquired. The direction and stability of the Hopf bifurcation are determined by constructing a center manifold and by applying the normal form method. Finally, numerical simulations are performed to verify the analytical result.
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出版历程
  • 收稿日期:  2006-05-12
  • 修回日期:  2006-09-11
  • 刊出日期:  2007-08-20

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