H∞ and LQG optimal control for the rejection of persistent disturbances: analysis, design and experiment

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dc.contributor.authorEllis, Graham K.en
dc.contributor.committeechairRobertshaw, Harry H.en
dc.contributor.committeememberLeonard, Robert G.en
dc.contributor.committeememberRussell, David L.en
dc.contributor.committeememberWicks, Alfred L.en
dc.contributor.committeememberBaumann, William T.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:09:02Zen
dc.date.adate2006-02-01en
dc.date.available2014-03-14T21:09:02Zen
dc.date.issued1992-02-05en
dc.date.rdate2006-02-01en
dc.date.sdate2006-02-01en
dc.description.abstractThis dissertation presents a discussion of the asymptotic behavior and estimation structure of the H<sub>∞</sub> central controllers in terms of the well-known behavior of the LQG controller and gives some insight into the physics of the H<sub>∞</sub> controller that is often presented in an unclear manner in the current literature. The connections to LQ game theory that underlie this confusion are discussed. Augmented systems that are typically used in disturbance rejection problems are also analyzed. Additionally, a controlled output equation for disturbance rejection is developed based on the physics of the problem rather than the typical ad hoc approaches of the past. These controlled output equations are also appropriate for LQG compensators. In order to verify the proposed approach, an experiment in harmonic and narrowband disturbance rejection using a simply supported steel plate is presented. Discrete-time LQG, and continuous-time H<sub>∞</sub> and LQG controllers that have been transformed to discrete-time are used to determine the attainable performance of each approach. The results indicate that the H<sub>∞</sub> controller provides more damping than either LQG approach and that discrete-time design procedures are necessary for maximum disturbance rejection.en
dc.description.degreePh. D.en
dc.format.extentx, 148 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02012006-141752en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02012006-141752/en
dc.identifier.urihttp://hdl.handle.net/10919/37266en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1992.E44.pdfen
dc.relation.isformatofOCLC# 26091152en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1992.E44en
dc.subject.lcshControl theoryen
dc.titleH<sub>∞</sub> and LQG optimal control for the rejection of persistent disturbances: analysis, design and experimenten
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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