Low dimensional modelling and Dirichlét boundary controller design for Burgers equation

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage906en_US
dc.citation.issueNumber10en_US
dc.citation.spage895en_US
dc.citation.volumeNumber77en_US
dc.contributor.authorEfe, M. Ö.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.date.accessioned2016-02-08T10:26:26Z
dc.date.available2016-02-08T10:26:26Z
dc.date.issued2004en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractModelling and boundary control for the Burgers equation is studied in this paper. Modelling has been done via processing of numerical observations through proper orthogonal decomposition (POD) with Galerkin projection. This results in a set of spatial basis functions together with a set of ordinary differential equations (ODEs) describing the temporal evolution. Since the dynamics described by the Burgers equation are non-linear, the corresponding reduced-order dynamics turn out to be non-linear. The presented analysis explains how the free boundary condition appears as a control input in the ODEs and how controller design can be accomplished. The issues of control system synthesis are discussed from the point of practicality, performance and robustness. The numerical results obtained are in good compliance with the theoretical claims. A comparison of various different approaches is presented. © 2004 Taylor and Francis Ltd.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:26:26Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2004en
dc.identifier.doi10.1080/00207170412331270532en_US
dc.identifier.issn0020-7179
dc.identifier.urihttp://hdl.handle.net/11693/24256
dc.language.isoEnglishen_US
dc.publisherTaylor & Francisen_US
dc.relation.isversionofhttp://dx.doi.org/10.1080/00207170412331270532en_US
dc.source.titleInternational Journal of Controlen_US
dc.subjectBoundary conditionsen_US
dc.subjectDescribing functionsen_US
dc.subjectGalerkin methodsen_US
dc.subjectMathematical modelsen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectRobustness (control systems)en_US
dc.subjectBoundary controlen_US
dc.subjectBurgers equationen_US
dc.subjectLow dimensional modellingen_US
dc.subjectProper orthogonal decompositionen_US
dc.subjectControl system synthesisen_US
dc.titleLow dimensional modelling and Dirichlét boundary controller design for Burgers equationen_US
dc.typeArticleen_US

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