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A discrete-time stochastic iterative learning control algorithm for a class of nonlinear systems

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dc.contributor.author Saab, S. S.
dc.date.accessioned 2019-08-06T09:34:49Z
dc.date.available 2019-08-06T09:34:49Z
dc.date.copyright 2005 en_US
dc.identifier.uri http://hdl.handle.net/10725/11201
dc.description.abstract This article presents a stochastic algorithm that computes the learning gain matrix of a “D-type iterative learning control (ILC) algorithm for a class of discrete-time varying nonlinear systems with linear input/output actions having relative degree one. The state disturbance, reinitialization errors, and measurement errors are considered to be zero-mean white processes. It is shown that the input error covariance matrix converges to zero in presence of uncorrelated disturbances. This algorithm does not require knowledge of the system dynamics or the disturbance statistics. The convergence rate of the input error covariance matrix is shown to be inversely proportional to the number of iterations. The author also shows that in presence of measurement noise, the state error covariance matrix converges to zero as the number of learning iterations increases. Finally, a numerical example is given that compares the performance of the proposed algorithm to a conventional ILC algorithm. en_US
dc.language.iso en en_US
dc.title A discrete-time stochastic iterative learning control algorithm for a class of nonlinear systems 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 ACTA Press en_US
dc.journal.volume 33 en_US
dc.journal.issue 2 en_US
dc.article.pages 95-101 en_US
dc.keywords Iterative learning control en_US
dc.keywords Nonlinear systems en_US
dc.keywords Stochastic control en_US
dc.identifier.doi http://dx.doi.org/10.2316/Journal.201.2005.2.201-1346 en_US
dc.identifier.ctation Saab, S. S. (2005). A discrete-time stochastic iterative learning control algorithm for a class of nonlinear systems. Control and intelligent systems, 33(2), 95-101. 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 http://www.actapress.com/PaperInfo.aspx?paperId=20418 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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