Multidimensional Systems and Signal Processing

, Volume 11, Issue 1, pp 125–177

Analysis of Linear Iterative Learning Control Schemes - A 2D Systems/Repetitive Processes Approach

  • D. H. Owens
  • N. Amann
  • E. Rogers
  • M. French
Article

DOI: 10.1023/A:1008494815252

Cite this article as:
Owens, D.H., Amann, N., Rogers, E. et al. Multidimensional Systems and Signal Processing (2000) 11: 125. doi:10.1023/A:1008494815252

Abstract

This paper first develops results on the stability and convergence properties of a general class of iterative learning control schemes using, in the main, theory first developed for the branch of 2D linear systems known as linear repetitive processes. A general learning law that uses information from the current and a finite number of previous trials is considered and the results, in the form of fundamental limitations on the benefits of using this law, are interpreted in terms of basic systems theoretic concepts such as the relative degree and minimum phase characteristics of the example under consideration. Following this, previously reported powerful 2D predictive and adaptive control algorithms are reviewed. Finally, new iterative adaptive learning control laws which solve iterative learning control algorithms under weak assumptions are developed.

repetitive processes iterative learning adaptive control 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • D. H. Owens
    • 1
  • N. Amann
    • 2
  • E. Rogers
    • 3
  • M. French
    • 3
  1. 1.Department of Automatic Control and Systems EngineeringUniversity of SheffieldSheffieldUK
  2. 2.Daimlerchrysler, BerlinGermany
  3. 3.Department of Electronics and Computer ScienceUniversity of SouthamptonSouthamptonUK

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