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TECHNICAL PAPERS

Sliding Control of Magnetic Bearing Systems

[+] Author and Article Information
T.-J. Yeh, Ying-Jer Chung, Wei-Chung Wu

Department of Power Mechanical Engineering, National Tsinghua University, Hsinchu, Taiwan, ROC

J. Dyn. Sys., Meas., Control 123(3), 353-362 (Oct 29, 1999) (10 pages) doi:10.1115/1.1386392 History: Received October 29, 1999
Copyright © 2001 by ASME
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References

Matsumara,  F., Namerikawa,  T., Hagiwara,  K., and Fujita,  M., 1996, “Application of Gain Scheduled H Robust controllers to a Magnetic Bearing,” IEEE Trans. Control Syst. Technol., 4, No. 5, Sept., pp. 484–493.
Nonami,  K., and Ito,  T., 1996, “μ Synthesis of Flexible Rotor-Magnetic Bearing Systems,” IEEE Trans. Control Syst. Technol., 4, No. 5, Sept., pp. 503–512.
Youcef-Toumi,  K., and Reddy,  S., 1992, “Dynamic Analysis and Control of High Speed and High Precision Active Magnetic Bearings,” ASME J. Dyn. Syst., Meas., Control, 114, Dec., pp. 623–633.
Trumper,  D., Olson,  S., and Subrahmanyan,  P., 1997, “Linearizing Control of Magnetic Suspension Systems,” IEEE Trans. Control Syst. Technol., 5, No. 4, July, pp. 427–438.
Levine,  J., Lottin,  J., and Ponsart,  J.-C., 1996, “A Nonlinear Approach to the Control of Magnetic Bearings,” IEEE Trans. Control Syst. Technol., 4, No. 5, Sept., pp. 524–544.
Queiroz,  M. S., and Dawson,  D. M., 1996, “Nonlinear Control of Active Magnetic Bearings: A Backstepping Approach,” IEEE Trans. Control Syst. Technol., 4, No. 5, Sept., pp. 545–552.
Annaswamy,  A. M., Thanomsat,  C., Mehta,  N., and Loh,  A.-P., 1998, “Applications of Adaptive Controllers to Systems with Nonlinear Parametrization,” ASME J. Dyn. Syst., Meas., Control, 120, Dec., pp. 477–487.
Yeh,  T.-J., and Youcef-Toumi,  K., 1998, “Adaptive Control of Nonlinear, Uncertain Systems using Local Function Estimation,” ASME J. Dyn. Syst., Meas., Control, 120, Dec., pp. 429–438.
Smith,  R., and Weldon,  W., 1994, “Nonlinear Control of a Rigid Rotor Magnetic Bearing System,” IEEE Trans. Magn., 31, No. 2, Jun., pp. 973–980.
Rundell,  A. E., Drakunov,  S., and DeCarlo,  R. A., 1996, “A Sliding Mode Observer and Controller for Stabilization of Rotational Motion of a Vertical Shaft Magnetic Bearing,” IEEE Trans. Control Syst. Technol. 4, No. 5, Sept., pp. 598–608.
Charara,  A., Miras,  J. D., and Caron,  B., 1996, “Nonlinear Control of a Magnetic Levitation System Without Premagnetization,” IEEE Trans. Control Syst. Technol., 4, No. 5, Sept., pp. 513–523.
T.-J. Yeh., 1996, “Modeling, Analysis, and Control of Magnetically Levitated Rotating Machines,” Sc.D. thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, Jan.
Ansoft Corporation, 1997, Maxwell 2D Field Simulator, Pittsburgh, PA.
Slotine, J.-J., and Li, W., 1991, Applied Nonlinear Control, Prentice-Hall, NJ.
Yeh, T.-J., 1998, “Sliding Control of Magnetic Bearings Using Physical Structure,” Proceedings of the 1998 Japan-USA Symposium on Flexible Automation, Otsu, Japan, pp. 121–130.
Yeh, T.-J., and Chung, Y.-J., 1998, “MIMO Robust Control of Radial Magnetic Bearing Systems,” Proceedings of the 1998 International Conference on Mechatronic Technology, Hsinchu, Taiwan, pp. 3–8.

Figures

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A magnetic bearing system and its bond graph model
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Magnetic fluxes existing in the bearing
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Bond graph models of the bearing
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Magnetic model for finite element analysis
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Magnetic force versus air gap (ni=200,μr=10,000)
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Magnetic force versus air gap (ni=200,μr=50)
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Displacement responses of the sliding controller
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Tracking error responses of the sliding controller
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Current resposnes of the sliding controller (simulation)
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Current responses of the sliding controller (experiment)
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Experimental displacement responses of the sliding controller with a bias force
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Experimental current responses of the sliding controller with a bias force
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Experimental displacement response of the sliding controller with a bias force (sinusoidal tracking)
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Tracking error response of the sliding controller with a bias force
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Tracking error response of the feedback linearization controller
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Tracking error response of the PID controller
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Tracking error response of the linear-model-based sliding controller

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