Title
Limit Sets And Switching Strategies In Parameter-Optimal Iterative Learning Control
Abstract
This paper characterizes the existence and form of the possible limit error signals in typical parameter-optimal iterative learning control. The set of limit errors has attracting and repelling components and the behaviour of the algorithm in the vicinity of these sets can be associated with the undesirable properties of apparent (but in fact temporary) convergence or permanent slow convergence properties in practice. The avoidance of these behaviours in practice is investigated using novel switching strategies. Deterministic strategies are analysed to prove the feasibility of the concept by proving that each of a number of such strategies is guaranteed to produce global convergence of errors to zero independent of the details of plant dynamics. For practical applications a random switching strategy is proposed to replace these approaches and shown, by example, to produce substantial potential improvements when compared with the non-switching case. The work described in this paper is covered by pending patent applications in the UK and elsewhere.
Year
DOI
Venue
2008
10.1080/00207170701579403
INTERNATIONAL JOURNAL OF CONTROL
Field
DocType
Volume
Convergence (routing),Intelligent control,Mathematical optimization,Optimal control,Repetitive control,Control theory,Iterative learning control,Deterministic system (philosophy),Mathematics
Journal
81
Issue
ISSN
Citations 
4
0020-7179
5
PageRank 
References 
Authors
0.64
4
3
Name
Order
Citations
PageRank
David H. Owens123835.01
M. Tomas-Rodriguez2216.71
Steve Daley3122.82