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dc.contributor.authorCabell, Randolph H. IIIen_US
dc.date.accessioned2014-03-14T20:21:47Z
dc.date.available2014-03-14T20:21:47Z
dc.date.issued1998-04-17en_US
dc.identifier.otheretd-32898-121223en_US
dc.identifier.urihttp://hdl.handle.net/10919/30461
dc.description.abstractA principal component least mean square (PC-LMS) adaptive algorithm is described that has considerable benefits for large control systems used to implement feedforward control of single frequency disturbances. The algorithm is a transform domain version of the multichannel filtered-x LMS algorithm. The transformation corresponds to the principal components of the transfer function matrix between the sensors and actuators in a control system at a single frequency. The method is similar to other transform domain LMS algorithms because the transformation can be used to accelerate convergence when the control system is ill-conditioned. This ill-conditioning is due to actuator and sensor placement on a continuous structure. The principal component transformation rotates the control filter coefficient axes to a more convenient coordinate system where (1) independent convergence factors can be used on each coordinate to accelerate convergence, (2) insignificant control coordinates can be eliminated from the controller, and (3) coordinates that require excessive control effort can be eliminated from the controller. The resulting transform domain algorithm has lower computational requirements than the filtered-x LMS algorithm. The formulation of the algorithm given here applies only to single frequency control problems, and computation of the decoupling transforms requires an estimate of the transfer function matrix between control actuators and error sensors at the frequency of interest. The feasibility of the method was demonstrated in real-time noise control experiments involving 48 microphones and 12 control actuators mounted on a closed cylindrical shell. Convergence of the PC-LMS algorithm was more stable than the filtered-x LMS algorithm. In addition, the PC-LMS controller produced more noise reduction with less control effort than the filtered-x LMS controller in several tests.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartD1.PDFen_US
dc.relation.haspartD2.PDFen_US
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dc.rightsI hereby grant to Virginia Tech or its agents the right to archive and to make available my thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.en_US
dc.subjectactive controlen_US
dc.subjectaircraft interior noiseen_US
dc.subjectprincipal component analysisen_US
dc.titleA Principal Component Algorithm for Feedforward Active Noise and Vibration Controlen_US
dc.typeDissertationen_US
dc.contributor.departmentMechanical Engineeringen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMechanical Engineeringen_US
dc.contributor.committeechairFuller, Christopher R.en_US
dc.contributor.committeememberBaumann, William T.en_US
dc.contributor.committeememberBurdisso, Ricardo A.en_US
dc.contributor.committeememberSilcox, Richard J.en_US
dc.contributor.committeememberWicks, Alfred L.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-32898-121223/en_US
dc.date.sdate1998-04-17en_US
dc.date.rdate1999-04-28
dc.date.adate1998-04-28en_US


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