Convergence analysis of iterative learning control using pseudospectra

Abstract

Iterative learning control (ILC) is an approach to improve the performance of a system that repeats the same operation. In this paper, we apply the theory of pseudospectra to transient analysis of ILC. The focus of this paper is on frequency-domain analysis of filter-based ILC. Moreover, the effect of finite trial length on the transient growth is discussed.

Keywords:

• Iterative learning control
• transient growth
• pseudospectra

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research was supported by Mitacs and TRIUMF through federal funding via a contribution agreement with the National Research Council of Canada. Bo Bernhardsson and Olof Troeng are members of the ELLIIT Strategic Research Area at Lund University.