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.
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March 2002
Technical Papers
Robust Optimal Influence-Coefficient Control of Multiple-Plane Active Rotor Balancing Systems
Stephen W. Dyer,
Stephen W. Dyer
BalaDyne Corporation, 1665 Highland Drive, Ann Arbor, MI 48108-2254
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Jianjun Shi,
Jianjun Shi
Industrial and Operations Engineering Department, The University of Michigan, Ann Arbor, MI 48109-2117
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Jun Ni,
Jun Ni
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2136
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Kwang-Keun Shin
Kwang-Keun Shin
General Motors Corporation, P.O. Box 9055, Warren, MI 48090-9055
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Stephen W. Dyer
BalaDyne Corporation, 1665 Highland Drive, Ann Arbor, MI 48108-2254
Jianjun Shi
Industrial and Operations Engineering Department, The University of Michigan, Ann Arbor, MI 48109-2117
Jun Ni
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2136
Kwang-Keun Shin
General Motors Corporation, P.O. Box 9055, Warren, MI 48090-9055
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 September 17, 2001. Associate Editor: C. Rahn.
J. Dyn. Sys., Meas., Control. Mar 2002, 124(1): 41-46 (6 pages)
Published Online: September 17, 2001
Article history
Received:
September 17, 2001
Citation
Dyer, S. W., Shi, J., Ni, J., and Shin, K. (September 17, 2001). "Robust Optimal Influence-Coefficient Control of Multiple-Plane Active Rotor Balancing Systems ." ASME. J. Dyn. Sys., Meas., Control. March 2002; 124(1): 41–46. https://doi.org/10.1115/1.1435622
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