Nonlinear Dynamics and Suppressing Chaos in Magnetic Bearing System
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A nonlinear mathematical model of a magnetic bearing system has been obtained by applying a modified conventional identification technique based on the principle of harmonic balance.
In this study, we examined the rich nonlinear dynamics of a magnetic bearing system with closed-loop control using phase portraits, Poincaré maps, and frequency spectra.
The resulting bifurcation diagram can be used to evaluate the operational range of systems employing nonlinear actuators.
Estimates of the largest Lyapunov exponent based on the properties of synchronization revealed the occurrence of chatter vibration indicative of chaotic motion.
Various control methods, such as the state feedback control and the injection of dither signals, were then used to quench the chaotic behavior.
American Psychological Association (APA)
Chang, Shun-Chang. 2020. Nonlinear Dynamics and Suppressing Chaos in Magnetic Bearing System. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1197103
Modern Language Association (MLA)
Chang, Shun-Chang. Nonlinear Dynamics and Suppressing Chaos in Magnetic Bearing System. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1197103
American Medical Association (AMA)
Chang, Shun-Chang. Nonlinear Dynamics and Suppressing Chaos in Magnetic Bearing System. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1197103
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197103