Optimal selection of the forgetting matrix into an iterative learning control algorithm

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dc.contributor.author Saab, Samer S.
dc.date.accessioned 2019-07-30T09:02:38Z
dc.date.available 2019-07-30T09:02:38Z
dc.date.copyright 2005 en_US
dc.identifier.issn 0018-9286 en_US
dc.identifier.uri http://hdl.handle.net/10725/11172
dc.description.abstract A recursive optimal algorithm, based on minimizing the input error covariance matrix, is derived to generate the optimal forgetting matrix and the learning gain matrix of a P-type iterative learning control (ILC) for linear discrete-time varying systems with arbitrary relative degree. This note shows that a forgetting matrix is neither needed for boundedness of trajectories nor for output tracking. In particular, it is shown that, in the presence of random disturbances, the optimal forgetting matrix is zero for all learning iterations. In addition, the resultant optimal learning gain guarantees boundedness of trajectories as well as uniform output tracking in presence of measurement noise for arbitrary relative degree. en_US
dc.language.iso en en_US
dc.title Optimal selection of the forgetting matrix into an iterative learning control algorithm en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SOE en_US
dc.author.idnumber 199690250 en_US
dc.author.department Electrical And Computer Engineering en_US
dc.description.embargo N/A en_US
dc.relation.journal IEEE Transactions on Automatic Control en_US
dc.journal.volume 50 en_US
dc.journal.issue 12 en_US
dc.article.pages 2039-2043 en_US
dc.keywords Iterative learning control en_US
dc.keywords Optimal control en_US
dc.keywords Stochastic systems en_US
dc.identifier.doi http://dx.doi.org/10.1109/TAC.2005.860232 en_US
dc.identifier.ctation Saab, S. S. (2005). Optimal selection of the forgetting matrix into an iterative learning control algorithm. IEEE Transactions on Automatic Control, 50(12), 2039-2043. en_US
dc.author.email ssaab@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://ieeexplore.ieee.org/abstract/document/1556736 en_US
dc.orcid.id https://orcid.org/0000-0003-0124-8457 en_US
dc.author.affiliation Lebanese American University en_US

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