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

被引：0

作者：

Shen, Fei ^{[1
]}

Wang, Hui ^{[1
]}

Yang, Kai ^{[1
]}

Yuan, Jianfei ^{[1
]}

机构：

[1] Xian Modern Chem Res, Xian 710065, Peoples R China

来源：

PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON MECHATRONIC SYSTEM AND MEASUREMENT TECHNOLOGY | 2012年

关键词：

Maglev System; Delayed Feedback Control; Hopf Bifurcation; Periodic Oscillation; NONAUTONOMOUS SYSTEM;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The nonlinear maglev system with delayed feedback control is considered in this paper. Linear stability of the system is investigated by analyzing the associated characteristic transcendental equation. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. Meanwhile, numerical simulations results are given to support the above theoretical predictions. It can be seen from the analysis that when the delay reaches the critical value, the maglev system will undergo a supercritical Hopf bifurcation and generate stable periodic oscillation.

引用

页码：458 / 463

页数：6

共 10 条

[1]

Hassard B.D., 1981, Theory and Applications of Hopf Bifurcation

[2]

Hong Hua-jie, 2005, Journal of National University of Defense Technology, V27, P101

[3] Stability and Hopf bifurcation of four-wheel-steering vehicles involving driver's delay [J].