Integral action based Dirichlet boundary control of Burgers equation

Simple item page
buir.contributor.authorÖzbay, Hitay
dc.citation.epage1272en_US
dc.citation.spage1267en_US
dc.contributor.authorEfe, M. Ö.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.coverage.spatialİstanbul, Turkeyen_US
dc.date.accessioned2016-02-08T11:55:16Zen_US
dc.date.available2016-02-08T11:55:16Zen_US
dc.date.issued2003en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 23-25 June 2003en_US
dc.descriptionConference Name: IEEE Conference on Control Applications, CCA 2003en_US
dc.description.abstractModeling and boundary control for Burgers Equation is studied in this paper. Modeling has been done via processing of numerical observations through singular value decomposition 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 Burgers equation is nonlinear, the corresponding reduced order dynamics turn out to be nonlinear. The presented analysis explains how boundary condition appears as a control input in the ODEs. The controller design is based on the linearization of the dynamic model. It has been demonstrated that an integral controller, whose gain is a function of the spatial variable, is sufficient to observe reasonably high tracking performance with a high degree of robustness.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T11:55:16Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2003en
dc.identifier.doi10.1109/CCA.2003.1223193en_US
dc.identifier.urihttp://hdl.handle.net/11693/27505en_US
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttps://doi.org/10.1109/CCA.2003.1223193en_US
dc.source.titleProceedings of the IEEE Conference on Control Applications, CCA 2003en_US
dc.subjectBoundary conditionsen_US
dc.subjectControl system synthesisen_US
dc.subjectGain measurementen_US
dc.subjectGalerkin methodsen_US
dc.subjectIntegral equationsen_US
dc.subjectLinearizationen_US
dc.subjectMathematical modelsen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectPerformanceen_US
dc.subjectRobustnessen_US
dc.subjectBurgers equationen_US
dc.subjectDirichlet boundary controlen_US
dc.subjectSingular value decompositionen_US
dc.subjectControl theoryen_US
dc.titleIntegral action based Dirichlet boundary control of Burgers equationen_US
dc.typeConference Paperen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Integral action based Dirichlét boundary control of Burgers equation.pdf
Size:
399.96 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Scholarly Publications - Electrical and Electronics Engineering