This paper proposes a sliding control scheme to deal with the nonlinear, uncertain dynamics of magnetic bearing systems. The controller is designed based on the Thevenin equivalent of a network model that characterizes both the main electromechanical interaction and the secondary electromagnetic effects such as flux leakage, fringing fluxes, and finite core permeance. The controller consists of two parts: the nominal control part that linearizes the nonlinear dynamics, and the robust control part that provides robust performance against the uncertainties. Because the unidirectionality of magnetic forces may render the control law ill-defined in some scenarios, a lemma is proved and can be used to select proper control parameters to guarantee the performance. Moreover, a control modification is also suggested in order to reduce the intensive control pulsation in the absence of gravity. The proposed control scheme is applied to the thrust bearing of a magnetically levitated rotor. Simulations and experiments indicate that the control system is capable of maintaining stability and consistent performance.
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e-mail: tyeh@pme.nthu.edu.tw
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September 2001
Technical Papers
Sliding Control of Magnetic Bearing Systems
T.-J. Yeh,
e-mail: tyeh@pme.nthu.edu.tw
T.-J. Yeh
Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC
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Ying-Jer Chung,
Ying-Jer Chung
Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC
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Wei-Chung Wu
Wei-Chung Wu
Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC
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T.-J. Yeh
Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC
e-mail: tyeh@pme.nthu.edu.tw
Ying-Jer Chung
Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC
Wei-Chung Wu
Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division October 29, 1999. Associate Editor: E. A. Misawa.
J. Dyn. Sys., Meas., Control. Sep 2001, 123(3): 353-362 (10 pages)
Published Online: October 29, 1999
Article history
Received:
October 29, 1999
Citation
Yeh, T., Chung , Y., and Wu, W. (October 29, 1999). "Sliding Control of Magnetic Bearing Systems ." ASME. J. Dyn. Sys., Meas., Control. September 2001; 123(3): 353–362. https://doi.org/10.1115/1.1386392
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