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Compensator design for a system of two connected beams

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dc.contributor.authorHuang, Weien
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberGunzburger, Max D.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:22:06Zen
dc.date.adate2005-10-24en
dc.date.available2014-03-14T21:22:06Zen
dc.date.issued1994-08-05en
dc.date.rdate2005-10-24en
dc.date.sdate2005-10-24en
dc.description.abstractThe goal of this paper is to study the LQG problem for a class of infinite dimensional systems. We investigate the convergence of compensator gains for such systems when standard finite element schemes are used to discretize the problem. We are particularly interested in the analysis of the uniformly exponential stability of the corresponding closed - loop systems resulting from the finite dimensional compensators. A specific multiple component flexible structure is used to focus the analysis and to test problem in numerical simulations. An abstract framework for analysis and approximation of the corresponding dynamics system is developed and used to design finite - dimensional compensators. Linear semigroup theory is used to establish that the systems are well posed and to prove the convergence of generic approximation schemes. Approximate solutions of the optimal regulator and optimal observer are constructed via Galerkin - type approximations. Convergence of the scheme is established and numerical results are presented to illustrate the methoden
dc.description.degreePh. D.en
dc.format.extentix, 171 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10242005-124120en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10242005-124120/en
dc.identifier.urihttp://hdl.handle.net/10919/40125en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1994.H837.pdfen
dc.relation.isformatofOCLC# 31459297en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1994.H837en
dc.subject.lcshApproximation theoryen
dc.subject.lcshControl theoryen
dc.subject.lcshFlexible structures -- Automatic controlen
dc.titleCompensator design for a system of two connected beamsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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