This brief paper considers iterative learning control (ILC) for precision motion control (PMC) applications. This work develops a methodology to design a low pass filter, called the -filter, that is used to limit the bandwidth of the ILC to prevent the propagation of high frequencies in the learning. A time-varying bandwidth -filter is considered because PMC reference trajectories can exhibit rapid changes in acceleration that may require high bandwidth for short periods of time. Time-frequency analysis of the initial error signal is used to generate a shape function for the bandwidth profile. Key parameters of the bandwidth profile are numerically optimized to obtain the best tradeoff in converged error and convergence speed. Simulation and experimental results for a permanent-magnet linear motor are included. Results show that the optimal time-varying -filter bandwidth provides faster convergence to lower error than the optimal time-invariant bandwidth.
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e-mail: dbristow@mst.edu
e-mail: alleyne@uiuc.edu
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September 2008
Technical Briefs
Optimizing Learning Convergence Speed and Converged Error for Precision Motion Control
Douglas A. Bristow,
Douglas A. Bristow
Department of Mechanical and Aerospace Engineering,
e-mail: dbristow@mst.edu
Missouri University of Science and Technology
, Rolla, MO 65409
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Andrew G. Alleyne,
Andrew G. Alleyne
Department of Mechanical Science and Engineering,
e-mail: alleyne@uiuc.edu
University of Illinois at Urbana-Champaign
, Urbana, IL 61801
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Marina Tharayil
Marina Tharayil
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Douglas A. Bristow
Department of Mechanical and Aerospace Engineering,
Missouri University of Science and Technology
, Rolla, MO 65409e-mail: dbristow@mst.edu
Andrew G. Alleyne
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, IL 61801e-mail: alleyne@uiuc.edu
Marina Tharayil
J. Dyn. Sys., Meas., Control. Sep 2008, 130(5): 054501 (8 pages)
Published Online: July 29, 2008
Article history
Received:
October 30, 2006
Revised:
February 13, 2008
Published:
July 29, 2008
Citation
Bristow, D. A., Alleyne, A. G., and Tharayil, M. (July 29, 2008). "Optimizing Learning Convergence Speed and Converged Error for Precision Motion Control." ASME. J. Dyn. Sys., Meas., Control. September 2008; 130(5): 054501. https://doi.org/10.1115/1.2936844
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