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Robust stability of iterative learning control schemes
Author(s) -
French Mark
Publication year - 2007
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1236
Subject(s) - iterative learning control , robustness (evolution) , control theory (sociology) , robust control , stability (learning theory) , attenuation , computer science , context (archaeology) , metric (unit) , mathematics , control (management) , engineering , control system , artificial intelligence , machine learning , physics , paleontology , biochemistry , chemistry , operations management , optics , biology , electrical engineering , gene
A notion of robust stability is developed for iterative learning control in the context of disturbance attenuation. The size of the unmodelled dynamics is captured via a gap distance, which in turn is related to the standard ℋ 2 gap metric, and the resulting robustness certificate is qualitatively equivalent to that obtained in classical robust ℋ ∞ theory. A bound on the robust stability margin for a specific adaptive ILC design is established. Copyright © 2007 John Wiley & Sons, Ltd.