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Updating Procedures for Iterative Learning Control in Hilbert Space

Summary: Updating Procedures for Iterative Learning Control in
Hilbert Space
Konstantin E. Avrachenkov 1 , Homayoon S.M. Beigi 2 , Richard W. Longman 3
The research results presented here are extensions of
previous work on Iterative Learning Control (ILC) us­
ing projection­based update techniques. These updates
were mainly developed for Quasi­Newton optimization
and also for solving systems of simultaneous equations.
Recently, such updates have been used by the authors
to estimate the dynamics of a control system which
is asked to perform a periodic task using a discrete
formulation. In addition, recently, preliminary exten­
sions of these updating techniques to continuous sys­
tems through formulation in Hilbert Space have been
proposed. This paper provides a formulation of the It­
erative Learning Control problem in Hilbert Space with
a convergence proof of the proposed solution based on
Broyden's update.
1 Introduction


Source: Avrachenkov, Konstantin - INRIA Sophia Antipolis


Collections: Computer Technologies and Information Sciences