Repetitive control of MIMO systems using H∞ design

  • Authors:
  • George Weiss;Martin Häfele

  • Affiliations:
  • Department of Electrical and Electronic Engineering, Imperial College of Science, Technology and Medicine, Exhibition Road, London SW7 2BT, UK;Institut für Systemdynamik und Regelungstechnik, Universität Stuttgart, 70550 Stuttgart Vaihingen, Germany

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1999

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Abstract

In many engineering problems, periodic signals which should be either tracked (reference signals) or rejected (disturbances) occur. A successful way of solving such problems is repetitive control, a well-known technique based on the internal model principle. Here, we extend repetitive control theory to plants with several outputs, of which only some have to track reference signals. The other outputs are used to supply additional information to the controller. We analyze stability, robustness and give estimates of the size of the error in such a feedback system. Our approach to this analysis is new, based on the recent theory of regular linear systems. We introduce a correction to the amount of delay used in the internal model and this leads to a significant improvement in performance (i.e., to a smaller error).