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Late-lumping backstepping control of partial differential equations

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dc.contributor.authorAuriol, Jean
dc.contributor.authorMorris, Kirsten
dc.contributor.authorDi Meglio, Florent
dc.date.accessioned2020-07-06T20:55:06Z
dc.date.available2020-07-06T20:55:06Z
dc.date.issued2019-02
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.automatica.2018.11.024. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.description.abstractWe consider in this paper three different partial differential equations (PDEs) that can be exponentially stabilized using backstepping controllers. For implementation, a finite-dimensional controller is generally needed. The backstepping controllers are approximated and it is proven that the finite-dimensional approximated controller stabilizes the original system if the order is high enough. This approach is known as late-lumping. The other approach to controller design for PDEs first approximates the PDE and then a controller is designed; this is known as early-lumping. Simulation results comparing the performance of late-lumping and early-lumping controllers are provided.en
dc.identifier.urihttps://doi.org/10.1016/j.automatica.2018.11.024
dc.identifier.urihttp://hdl.handle.net/10012/16039
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectpartial differential equationsen
dc.subjectstabilizationen
dc.subjectbacksteppingen
dc.subjectlate-lumpingen
dc.titleLate-lumping backstepping control of partial differential equationsen
dc.typeArticleen
dcterms.bibliographicCitation“Late-Lumping Backstepping Control of Partial Differential Equations.” Automatica 100 (February 1, 2019): 247–59. https://doi.org/10.1016/j.automatica.2018.11.024.en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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