Stabilization and disturbance rejection for the wave equation

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dc.citation.epage95en_US
dc.citation.issueNumber1en_US
dc.citation.spage89en_US
dc.citation.volumeNumber43en_US
dc.contributor.authorMorgül, Ö.en_US
dc.date.accessioned2016-02-08T10:43:00Z
dc.date.available2016-02-08T10:43:00Z
dc.date.issued1998-01en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function of the complex variable s and may contain a single pole at the origin and a pair of complex conjugate poles on the imaginary axis, provided that the residues corresponding to these poles are nonnegative; the rest of the transfer function is required to be a strictly positive real function. We then show that depending on the location of the pole on the imaginary axis, the closed-loop system is asymptotically stable. We also consider the case where the output of the controller is corrupted by a disturbance and show that it may be possible to attenuate the effect of the disturbance at the output if we choose the controller transfer function appropriately. We also present some numerical simulation results which support this argument.en_US
dc.identifier.doi10.1109/9.654893en_US
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/11693/25328
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/9.654893en_US
dc.source.titleIEEE Transactions on Automatic Controlen_US
dc.subjectBoundary control systemsen_US
dc.subjectDistributed parameter systemsen_US
dc.subjectDisturbance rejectionen_US
dc.subjectSemigroup theoryen_US
dc.subjectStabilityen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectBoundary conditionsen_US
dc.subjectClosed loop control systemsen_US
dc.subjectComputer simulationen_US
dc.subjectDistributed parameter control systemsen_US
dc.subjectPoles and zerosen_US
dc.subjectTransfer functionsen_US
dc.subjectDisturbance rejectionen_US
dc.subjectLinear wave equationen_US
dc.subjectSemigroup theoryen_US
dc.subjectSystem stabilityen_US
dc.titleStabilization and disturbance rejection for the wave equationen_US
dc.typeArticleen_US
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