Volume 18, Issue 10 pp. 1034-1051
Research Article

Residual vibration suppression using Hankel iterative learning control

Jeroen van de Wijdeven

Jeroen van de Wijdeven

Control Systems Technology Group, Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

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Okko Bosgra

Corresponding Author

Okko Bosgra

Control Systems Technology Group, Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Control Systems Technology Group, Faculty of Mechanical Engineering, Eindhoven University of Technology, WH-1.145, P.O. Box 513, 5600 MB Eindhoven, The Netherlands===Search for more papers by this author
First published: 06 June 2007
Citations: 52

Abstract

In this paper, we present a new approach for suppression of residual vibrations in point-to-point motions based on lifted iterative learning control (ILC). The approach is to add a signal to the command input during the point-to-point motion in order to compensate for residual vibrations. A special form of ILC with separate actuation and observation time windows is shown to converge to the required signal. Subsequently, we present ILC control strategies for residual vibration suppression in which convergence and performance specifications can be designed separately. Additionally, the designed controllers have the capability to constrain the amplitude of the command signal. The presented strategies are demonstrated on a flexible system and shown to be successful in the suppression of residual vibration while minimizing the maximum amplitude of the command signal. Copyright © 2007 John Wiley & Sons, Ltd.

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