Pole-placement with minimum effort for linear multivariable systems

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dc.contributor.authorAl-Muthairi, Naser F.en
dc.contributor.committeechairBingulac, S.en
dc.contributor.committeememberLindner, Douglasen
dc.contributor.committeememberLuse, D.W.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberVanLandingham, Hugh F.en
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2014-08-13T14:38:46Zen
dc.date.available2014-08-13T14:38:46Zen
dc.date.issued1988en
dc.description.abstractThis dissertation is concerned with the problem of the exact pole-placement by minimum control effort using state and output feedback for linear multivariable systems. The novelty of the design lies in obtaining a direct transformation of the system matrices into a modified controllable canonical form. Two realizations are identified, and the algorithms to obtain them are derived. In both cases, the transformation matrix has some degrees of freedom by tuning a scalar or a set of scalars within the matrix. These degrees of freedom are utilized in the solution to reduce further the norm of the state feedback matrix. Then the pole-placement problem is solved by minimizing a certain functional, subject to a set of specified constraints. A non-canonical form approach to the problem is also proposed, where it was only necessary to transform the input matrix to a special form. The transformation matrix, in this method, has larger degrees of freedom which can be utilized in the solution. Moreover, a new pole-placement method based on the non-canonical approach is derived. The solution, in this method, was made possible by solving the Lyapunov matrix equation. Finally, an iterative algorithm for pole-placement by output feedback is extended so as to obtain an output feedback matrix with a small norm. The extension has been accomplished by applying the successive pole shifting method. Two schemes for the pole shifting are proposed. The first is to successively shift the poles through straight paths starting from the open loop poles and ending at the desired poles, whereas the second scheme shifts the poles according to a successive change of their characteristic polynomial coefficients.en
dc.description.adminincomplete_metadataen
dc.description.degreePh. D.en
dc.format.extentviii, 145 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/49916en
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 18363521en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1988.A447en
dc.subject.lcshFeedback control systemsen
dc.subject.lcshCanonical correlation (Statistics)en
dc.titlePole-placement with minimum effort for linear multivariable systemsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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