Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings
A new sliding mode feedback algorithm is applied to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor]magnetic bearing system is presented in terms of partial diff...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Rotating Machinery |
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| Online Access: | http://dx.doi.org/10.1155/S1023621X01000100 |
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| _version_ | 1832564499583860736 |
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| author | A. S. Lewis A. Sinha K. W. Wang |
| author_facet | A. S. Lewis A. Sinha K. W. Wang |
| author_sort | A. S. Lewis |
| collection | DOAJ |
| description | A new sliding mode feedback algorithm is applied to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor]magnetic bearing system is presented in terms of partial differential equations. These equations are then discretized into a finite number of ordinary differential equations through Galerkin’s method. The sliding mode control law is designed to be robust to rotor unbalance and transient disturbances. A boundary layer is introduced around each sliding hyperplane to eliminate the chattering phenomenon. The results from numerical simulations are presented that not only corroborate the validity of the proposed controller, but also show the effects of various control parameters as a function of the angular speed of the rotor. In addition, results are presented that indicate how the current required by the magnetic bearings is affected by control parameters and the angular speed of the rotor. |
| format | Article |
| id | doaj-art-b6535327357a43fcaffd3a1d19e84fb0 |
| institution | Kabale University |
| issn | 1023-621X |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Rotating Machinery |
| spelling | doaj-art-b6535327357a43fcaffd3a1d19e84fb02025-02-03T01:10:57ZengWileyInternational Journal of Rotating Machinery1023-621X2001-01-017211712910.1155/S1023621X01000100Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic BearingsA. S. Lewis0A. Sinha1K. W. Wang2The Pennsylvania State University, Applied Research Lab, State College, 16804, PA, USAMechanical Engineering Department, The Pennsylvania State University, University Park, 16802, PA, USAMechanical Engineering Department, The Pennsylvania State University, University Park, 16802, PA, USAA new sliding mode feedback algorithm is applied to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor]magnetic bearing system is presented in terms of partial differential equations. These equations are then discretized into a finite number of ordinary differential equations through Galerkin’s method. The sliding mode control law is designed to be robust to rotor unbalance and transient disturbances. A boundary layer is introduced around each sliding hyperplane to eliminate the chattering phenomenon. The results from numerical simulations are presented that not only corroborate the validity of the proposed controller, but also show the effects of various control parameters as a function of the angular speed of the rotor. In addition, results are presented that indicate how the current required by the magnetic bearings is affected by control parameters and the angular speed of the rotor.http://dx.doi.org/10.1155/S1023621X01000100Magnetic bearingsSliding mode controlFlexible rotorRotor unbalanceVibration. |
| spellingShingle | A. S. Lewis A. Sinha K. W. Wang Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings International Journal of Rotating Machinery Magnetic bearings Sliding mode control Flexible rotor Rotor unbalance Vibration. |
| title | Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings |
| title_full | Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings |
| title_fullStr | Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings |
| title_full_unstemmed | Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings |
| title_short | Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings |
| title_sort | sliding mode output feedback control of a flexible rotor supported by magnetic bearings |
| topic | Magnetic bearings Sliding mode control Flexible rotor Rotor unbalance Vibration. |
| url | http://dx.doi.org/10.1155/S1023621X01000100 |
| work_keys_str_mv | AT aslewis slidingmodeoutputfeedbackcontrolofaflexiblerotorsupportedbymagneticbearings AT asinha slidingmodeoutputfeedbackcontrolofaflexiblerotorsupportedbymagneticbearings AT kwwang slidingmodeoutputfeedbackcontrolofaflexiblerotorsupportedbymagneticbearings |