| 速度时滞反馈控制下磁浮系统的稳定性与Hopf分岔 |
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| 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[J].自动化学报,2007,33(8):829-834. |
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| 作者姓名： | 王洪坡 李杰 张锟 |
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| 作者单位： | 1.School of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, P.R.China |
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| 基金项目： | Supported by National Natural Science Foundation of China （604040037 and Fork Ying-Dong Education Foundation （94028） |
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| 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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| 关 键 词： | Maglev system delayed speed feedback control stability Hopf bifurcation center manifold normal form |
| 收稿时间： | 2006-5-12 |
| 修稿时间： | 2006-05-12 |
Stability and Hopf Bifurcation of the Maglev System with Delayed Speed Feedback Control |
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| WANG Hong-Po,LI Jie,ZHANG Kun.Stability and Hopf Bifurcation of the Maglev System with Delayed Speed Feedback Control[J].Acta Automatica Sinica,2007,33(8):829-834. |
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| Authors: | WANG Hong-Po LI Jie ZHANG Kun |
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| Affiliation: | 1.School of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, P.R.China |
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| Abstract: | 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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| Keywords: | Maglev system delayed speed feedback control stability Hopf bifurcation center manifold normal form |
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