Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system
This paper deals with modeling and control of a nonlinear horizontal active magnetic bearing (AMB) system via current control scheme. The gyroscopic effect and mass imbalance inherited in the system are proportional to the rotor speed in which these nonlinearities cause high system instability as th...
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| Format: | Book Section |
| Language: | English |
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Institute of Electrical and Electronics Engineering (IEEE)
2007
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| Online Access: | http://eprints.utm.my/9603/ http://eprints.utm.my/9603/1/AbdulRashidHusain2007SlidingModeControlWithLinear.pdf |
| _version_ | 1848891891379077120 |
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| author | Husain, Abdul Rashid |
| author_facet | Husain, Abdul Rashid |
| author_sort | Husain, Abdul Rashid |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | This paper deals with modeling and control of a nonlinear horizontal active magnetic bearing (AMB) system via current control scheme. The gyroscopic effect and mass imbalance inherited in the system are proportional to the rotor speed in which these nonlinearities cause high system instability as the rotational speed increases. In order to synthesize a robust controller that can stabilize the system under a wide range of rotational speed, the dynamic AMB model is transformed into a deterministic model to form a class of uncertain system. Then, based on Sliding Mode Control (SMC) theory and Lyapunov method, a new robust controller that stabilizes the system is proposed wherein the Linear Quadratic Regulator (LQR) is used to design the sliding surface. Under this control, the reaching condition is guaranteed and the closed loop system is stable. The performance of the controller applied to the AMB model is demonstrated through simulation works under various rotational speeds and system conditions. |
| first_indexed | 2025-11-15T21:05:10Z |
| format | Book Section |
| id | utm-9603 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T21:05:10Z |
| publishDate | 2007 |
| publisher | Institute of Electrical and Electronics Engineering (IEEE) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-96032017-09-03T09:49:39Z http://eprints.utm.my/9603/ Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system Husain, Abdul Rashid TK Electrical engineering. Electronics Nuclear engineering This paper deals with modeling and control of a nonlinear horizontal active magnetic bearing (AMB) system via current control scheme. The gyroscopic effect and mass imbalance inherited in the system are proportional to the rotor speed in which these nonlinearities cause high system instability as the rotational speed increases. In order to synthesize a robust controller that can stabilize the system under a wide range of rotational speed, the dynamic AMB model is transformed into a deterministic model to form a class of uncertain system. Then, based on Sliding Mode Control (SMC) theory and Lyapunov method, a new robust controller that stabilizes the system is proposed wherein the Linear Quadratic Regulator (LQR) is used to design the sliding surface. Under this control, the reaching condition is guaranteed and the closed loop system is stable. The performance of the controller applied to the AMB model is demonstrated through simulation works under various rotational speeds and system conditions. Institute of Electrical and Electronics Engineering (IEEE) 2007-12 Book Section PeerReviewed application/pdf en http://eprints.utm.my/9603/1/AbdulRashidHusain2007SlidingModeControlWithLinear.pdf Husain, Abdul Rashid (2007) Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system. In: The 5th Student Conference on Research and Development SCOReD 2007. Institute of Electrical and Electronics Engineering (IEEE), pp. 1-6. ISBN 978-1-4244-1469-7 http://dx.doi.org/10.1109/SCORED.2007.4451443 doi : 10.1109/SCORED.2007.4451443 |
| spellingShingle | TK Electrical engineering. Electronics Nuclear engineering Husain, Abdul Rashid Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| title | Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| title_full | Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| title_fullStr | Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| title_full_unstemmed | Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| title_short | Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| title_sort | sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system |
| topic | TK Electrical engineering. Electronics Nuclear engineering |
| url | http://eprints.utm.my/9603/ http://eprints.utm.my/9603/ http://eprints.utm.my/9603/ http://eprints.utm.my/9603/1/AbdulRashidHusain2007SlidingModeControlWithLinear.pdf |