Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor
In this paper, a control strategy based on the inverse system decoupling method and <i>μ</i>-synthesis is proposed to control vibration in a rigid rotor system with active magnetic bearings that are built into high-speed motors. First, the decoupling method is used to decouple the four-d...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/12/5/206 |
| _version_ | 1797818879614910464 |
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| author | Yuanwen Li Changsheng Zhu |
| author_facet | Yuanwen Li Changsheng Zhu |
| author_sort | Yuanwen Li |
| collection | DOAJ |
| description | In this paper, a control strategy based on the inverse system decoupling method and <i>μ</i>-synthesis is proposed to control vibration in a rigid rotor system with active magnetic bearings that are built into high-speed motors. First, the decoupling method is used to decouple the four-degrees-of-freedom state equation of the electromagnetic bearing rigid rotor system; the strongly coupled and nonlinear rotor system is thus decoupled into four independent subsystems, and the eigenvalues of the subsystems are then configured. The uncertain parametric perturbation method is used to model the subsystem, and the multi-objective ant colony algorithm is then used to optimize the sensitivity function and the pole positions to obtain the optimal <i>μ</i>-controller. The closed-loop system thus has the fastest possible response, the strongest internal stability, and the best disturbance rejection capability. Then, the unbalanced force compensation algorithm is used to compensate for the high-frequency eccentric vibration; this algorithm can attenuate the unbalanced eccentric vibration of the rotor to the greatest extent and improve the robust stability of the rotor system. Finally, simulations and experiments show that the proposed control strategy can allow the rotor to be suspended stably and suppress its low-frequency and high-frequency vibrations effectively, providing excellent internal and external stability. |
| first_indexed | 2024-03-13T09:14:37Z |
| format | Article |
| id | doaj.art-de329f4793284d7c95908b72c0220ade |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-13T09:14:37Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-de329f4793284d7c95908b72c0220ade2023-05-26T13:20:25ZengMDPI AGActuators2076-08252023-05-011220620610.3390/act12050206Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed MotorYuanwen Li0Changsheng Zhu1Electrical Engineering Department, University of Zhejiang, Hangzhou 310027, ChinaElectrical Engineering Department, University of Zhejiang, Hangzhou 310027, ChinaIn this paper, a control strategy based on the inverse system decoupling method and <i>μ</i>-synthesis is proposed to control vibration in a rigid rotor system with active magnetic bearings that are built into high-speed motors. First, the decoupling method is used to decouple the four-degrees-of-freedom state equation of the electromagnetic bearing rigid rotor system; the strongly coupled and nonlinear rotor system is thus decoupled into four independent subsystems, and the eigenvalues of the subsystems are then configured. The uncertain parametric perturbation method is used to model the subsystem, and the multi-objective ant colony algorithm is then used to optimize the sensitivity function and the pole positions to obtain the optimal <i>μ</i>-controller. The closed-loop system thus has the fastest possible response, the strongest internal stability, and the best disturbance rejection capability. Then, the unbalanced force compensation algorithm is used to compensate for the high-frequency eccentric vibration; this algorithm can attenuate the unbalanced eccentric vibration of the rotor to the greatest extent and improve the robust stability of the rotor system. Finally, simulations and experiments show that the proposed control strategy can allow the rotor to be suspended stably and suppress its low-frequency and high-frequency vibrations effectively, providing excellent internal and external stability.https://www.mdpi.com/2076-0825/12/5/206active magnetic bearing (AMB)gyroscopic effect<i>μ</i>-synthesisD-K iterationsmulti-objective optimizationunbalance compensation |
| spellingShingle | Yuanwen Li Changsheng Zhu Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor Actuators active magnetic bearing (AMB) gyroscopic effect <i>μ</i>-synthesis D-K iterations multi-objective optimization unbalance compensation |
| title | Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor |
| title_full | Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor |
| title_fullStr | Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor |
| title_full_unstemmed | Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor |
| title_short | Multi-Objective Optimal Design of <i>μ</i>–Controller for Active Magnetic Bearing in High-Speed Motor |
| title_sort | multi objective optimal design of i μ i controller for active magnetic bearing in high speed motor |
| topic | active magnetic bearing (AMB) gyroscopic effect <i>μ</i>-synthesis D-K iterations multi-objective optimization unbalance compensation |
| url | https://www.mdpi.com/2076-0825/12/5/206 |
| work_keys_str_mv | AT yuanwenli multiobjectiveoptimaldesignofimicontrollerforactivemagneticbearinginhighspeedmotor AT changshengzhu multiobjectiveoptimaldesignofimicontrollerforactivemagneticbearinginhighspeedmotor |