Robust Optimal Influence-Coefficient Control of Multiple-Plane Active Rotor Balancing Systems
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Published:2001-09-17
Issue:1
Volume:124
Page:41-46
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ISSN:0022-0434
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Container-title:Journal of Dynamic Systems, Measurement, and Control
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language:en
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Short-container-title:
Author:
Dyer Stephen W.1, Shi Jianjun2, Ni Jun3, Shin Kwang-Keun4
Affiliation:
1. BalaDyne Corporation, 1665 Highland Drive, Ann Arbor, MI 48108-2254 2. Industrial and Operations Engineering Department, The University of Michigan, Ann Arbor, MI 48109-2117 3. Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2136 4. General Motors Corporation, P.O. Box 9055, Warren, MI 48090-9055
Abstract
Rotating mass imbalance causes harmful vibration of high-speed machine tools, turbomachinery, etc. Constant speed, steady-state influence coefficient control allows active balancing systems to suppress this vibration if the influence matrix is estimated accurately. An optimal strategy for multiple-plane active balancing control is presented here that improves control robustness to modeling and estimation errors. The vibration controller objectively trades off residual vibration, control effort, and control rate of change. Penalizing control effort and rate of change is shown to enhance control stability margin, with certain performance trade-offs. Experimental results illustrate the improvement in control robustness compared with traditional weighted least squares optimal control.
Publisher
ASME International
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference12 articles.
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, 1982, “On the Possibility of Balancing Rotating Flexible Shafts,” Journal of Engineering Science, 24, No. 4, pp. 215–220. 4. Lee, C. W., Joh, Y. D., and Kim, Y. D., 1990, “Automatic Modal Balancing of Flexible Rotors During Operation: Computer Controlled Balancing Head,” Proceedings of the Institute of Mechanical Engineers, 204, pp. 19–25. 5. Knospe, C. R., Hope, R. W., Fedigan, S. J., and Williams, R. D., 1995, “Experiments in the Control of Unbalance Response Using magnetic Bearings,” Mechatronics, 5, No. 4, pp. 385–400.
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