Stability and Bifurcation in Magnetic Flux Feedback Maglev ControlSystem
Joint Authors
Zhang, Wen-Qing
Li, Jie
Zhang, Kun
Cui, Peng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Nonlinear properties of magnetic flux feedback control system have been investigated mainly in this paper.
We analyzed the influence of magnetic flux feedback control system on control property by time delay and interfering signal of acceleration.
First of all, we have established maglev nonlinear model based on magnetic flux feedback and then discussed hopf bifurcation’s condition caused by the acceleration’s time delay.
The critical value of delayed time is obtained.
It is proved that the period solution exists in maglev control system and the stable condition has been got.
We obtained the characteristic values by employing center manifold reduction theory and normal form method, which represent separately the direction of hopf bifurcation, the stability of the period solution, and the period of the period motion.
Subsequently, we discussed the influence maglev system on stability of by acceleration’s interfering signal and obtained the stable domain of interfering signal.
Some experiments have been done on CMS04 maglev vehicle of National University of Defense Technology (NUDT) in Tangshan city.
The results of experiments demonstrate that viewpoints of this paper are correct and scientific.
When time lag reaches the critical value, maglev system will produce a supercritical hopf bifurcation which may cause unstable period motion.
American Psychological Association (APA)
Zhang, Wen-Qing& Li, Jie& Zhang, Kun& Cui, Peng. 2013. Stability and Bifurcation in Magnetic Flux Feedback Maglev ControlSystem. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1009760
Modern Language Association (MLA)
Zhang, Wen-Qing…[et al.]. Stability and Bifurcation in Magnetic Flux Feedback Maglev ControlSystem. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1009760
American Medical Association (AMA)
Zhang, Wen-Qing& Li, Jie& Zhang, Kun& Cui, Peng. Stability and Bifurcation in Magnetic Flux Feedback Maglev ControlSystem. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1009760
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009760