Stochastic P-type/D-type iterative learning control algorithms

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dc.contributor.author Saab, Samer S.
dc.date.accessioned 2019-07-29T08:53:39Z
dc.date.available 2019-07-29T08:53:39Z
dc.date.copyright 2003 en_US
dc.date.issued 2019-07-29
dc.identifier.issn 0020-7179 en_US
dc.identifier.uri http://hdl.handle.net/10725/11168
dc.description.abstract This paper presents stochastic algorithms that compute optimal and sub-optimal learning gains for a P-type iterative learning control algorithm (ILC) for a class of discrete-time-varying linear systems. The optimal algorithm is based on minimizing the trace of the input error covariance matrix. The state disturbance, reinitialization errors and measurement errors are considered to be zero-mean white processes. It is shown that if the product of the input-output coupling matrices C ( t + 1 ) B ( t ) is full column rank, then the input error covariance matrix converges to zero in presence of uncorrelated disturbances. Another sub-optimal P-type algorithm, which does not require the knowledge of the state matrix, is also presented. It is shown that the convergence of the input error covariance matrices corresponding to the optimal and sub-optimal P-type and D-type algorithms are equivalent, and all converge to zero at a rate inversely proportional to the number of learning iterations. A transient-response performance comparison, in the domain of learning iterations, for the optimal and sub-optimal P- and D-type algorithms is investigated. A numerical example is added to illustrate the results. en_US
dc.language.iso en en_US
dc.title Stochastic P-type/D-type iterative learning control algorithms 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 International Journal of Control en_US
dc.journal.volume 76 en_US
dc.journal.issue 2 en_US
dc.article.pages 139-148 en_US
dc.identifier.doi https://doi.org/10.1080/0020717031000077717 en_US
dc.identifier.ctation Saab, S. S. (2003). Stochastic P-type/D-type iterative learning control algorithms. International Journal of Control, 76(2), 139-148. 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://www.tandfonline.com/doi/abs/10.1080/0020717031000077717 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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