Infinite dimensional and reduced order observers for Burgers equation

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage874en_US
dc.citation.issueNumber11en_US
dc.citation.spage864en_US
dc.citation.volumeNumber78en_US
dc.contributor.authorEfe, M. Ö.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorSamimy, M.en_US
dc.date.accessioned2016-02-08T10:22:50Z
dc.date.available2016-02-08T10:22:50Z
dc.date.issued2005en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractObtaining a representative model in feedback control system design problems is a key step and is generally a challenge. For spatially continuous systems, it becomes more difficult as the dynamics is infinite dimensional and the well known techniques of systems and control engineering are difficult to apply directly. In this paper, observer design is reported for one-dimensional Burgers equation, which is a non-linear partial differential equation. An infinite dimensional form of the observer is demonstrated to converge asymptotically to the target dynamics, and proper orthogonal decomposition is used to obtain the reduced order observer. When this is done, the corresponding observer is shown to be successful under certain circumstances. The paper unfolds the connections between target dynamics, observer and their finite dimensional counterparts. A set of simulation results has been presented to justify the theoretical claims of the paper.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:22:50Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2005en
dc.identifier.doi10.1080/00207170500158813en_US
dc.identifier.issn0020-7179
dc.identifier.urihttp://hdl.handle.net/11693/24016
dc.language.isoEnglishen_US
dc.publisherTaylor & Francisen_US
dc.relation.isversionofhttp://dx.doi.org/10.1080/00207170500158813en_US
dc.source.titleInternational Journal of Controlen_US
dc.subjectComputer simulationen_US
dc.subjectPartial differential equationsen_US
dc.subjectProblem solvingen_US
dc.subjectControl engineeringen_US
dc.subjectOne-dimensional Burger's equationsen_US
dc.subjectFeedback controlen_US
dc.titleInfinite dimensional and reduced order observers for Burgers equationen_US
dc.typeArticleen_US

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