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

作     者：WANG Hong-Po LI Jie ZHANG Kun WANG Hong-Po;LI Jie;ZHANG Kun

作者机构：School of Meehatronics and Automation National University ofDefense Technology Changsha 410073 P. R. China 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2007年第33卷第8期

页      面：829-834页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：Supported by National Natural Science Foundation of China (604040037 and Fork Ying-Dong Education Foundation (94028) 

主　　题：延时反馈控制 稳定性 磁力悬浮火车系统 霍普夫分岔 规格化形式 

摘      要：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.