Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter
In this paper, the Hopf bifurcation and control of the magnetic bearing system under an uncertain parameter are investigated. Firstly, the two-degree-of-freedom magnetic bearing system model with uncertain parameter is established. The method of orthogonal polynomial approximation is used to obtain...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/1641953 |
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| _version_ | 1832553723119796224 |
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| author | Jing Wang Shaojuan Ma Peng Hao Hehui Yuan |
| author_facet | Jing Wang Shaojuan Ma Peng Hao Hehui Yuan |
| author_sort | Jing Wang |
| collection | DOAJ |
| description | In this paper, the Hopf bifurcation and control of the magnetic bearing system under an uncertain parameter are investigated. Firstly, the two-degree-of-freedom magnetic bearing system model with uncertain parameter is established. The method of orthogonal polynomial approximation is used to obtain the equivalent magnetic bearing model which is deterministic. Secondly, combining mathematical analysis tools and numerical simulations, the Hopf bifurcation of the equivalent model is analyzed. Finally, a hybrid feedback control method (linear feedback control method combined with nonlinear stochastic feedback control method) is introduced to control the Hopf bifurcation behavior of the magnetic bearing system. |
| format | Article |
| id | doaj-art-00705ffc6c96464b9d4620d50d99e230 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-00705ffc6c96464b9d4620d50d99e2302025-02-03T05:53:19ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/16419531641953Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain ParameterJing Wang0Shaojuan Ma1Peng Hao2Hehui Yuan3School of Mathematics and Information Science, North Minzu University, YinChuan 750021, ChinaSchool of Mathematics and Information Science, North Minzu University, YinChuan 750021, ChinaBaota Industry Limited Liability Company, YinChuan 750021, ChinaBaota Industry Limited Liability Company, YinChuan 750021, ChinaIn this paper, the Hopf bifurcation and control of the magnetic bearing system under an uncertain parameter are investigated. Firstly, the two-degree-of-freedom magnetic bearing system model with uncertain parameter is established. The method of orthogonal polynomial approximation is used to obtain the equivalent magnetic bearing model which is deterministic. Secondly, combining mathematical analysis tools and numerical simulations, the Hopf bifurcation of the equivalent model is analyzed. Finally, a hybrid feedback control method (linear feedback control method combined with nonlinear stochastic feedback control method) is introduced to control the Hopf bifurcation behavior of the magnetic bearing system.http://dx.doi.org/10.1155/2019/1641953 |
| spellingShingle | Jing Wang Shaojuan Ma Peng Hao Hehui Yuan Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter Complexity |
| title | Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter |
| title_full | Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter |
| title_fullStr | Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter |
| title_full_unstemmed | Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter |
| title_short | Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter |
| title_sort | hopf bifurcation and control of magnetic bearing system with uncertain parameter |
| url | http://dx.doi.org/10.1155/2019/1641953 |
| work_keys_str_mv | AT jingwang hopfbifurcationandcontrolofmagneticbearingsystemwithuncertainparameter AT shaojuanma hopfbifurcationandcontrolofmagneticbearingsystemwithuncertainparameter AT penghao hopfbifurcationandcontrolofmagneticbearingsystemwithuncertainparameter AT hehuiyuan hopfbifurcationandcontrolofmagneticbearingsystemwithuncertainparameter |