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dc.contributor.authorBorges, Renato Alves
dc.date.accessioned2009-08-27T22:25:55Z
dc.date.available2009-08-27T22:25:55Z
dc.date.issued2009-08-27T22:25:55Z
dc.date.submittedJuly 2009
dc.identifier.urihttp://hdl.handle.net/1928/9842
dc.description.abstractThe main contribution of this dissertation is to propose conditions for linear filter and controller design, considering both robust and parameter dependent structures, for discrete time-varying systems. The controllers, or filters, are obtained through the solution of optimization problems, formulated in terms of bilinear matrix inequalities, using a method that alternates convex optimization problems described in terms of linear matrix inequalities. Both affine and multi-affine in different instants of time (path dependent) Lyapunov functions were used to obtain the design conditions, as well as extra variables introduced by the Finsler's lemma. Design problems that take into account an H-infinity guaranteed cost were investigated, providing robustness with respect to unstructured uncertainties. Numerical simulations show the efficiency of the proposed methods in terms of H-infinity performance when compared with other strategies from the literature.en_US
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (State of Sao Paulo Research Foundation); Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (Coordination of Improvement of Higher Education); Electrical and Computer Department of the University of New Mexico.en_US
dc.language.isoen_USen_US
dc.subjectUncertain discrete-time systemen_US
dc.subjectRobust stabilityen_US
dc.subjectH-infinity normen_US
dc.subjectParameter dependent Lyapunov functionen_US
dc.subjectLinear matrix inequalityen_US
dc.subjectPolytopic modelen_US
dc.subject.lcshElectric filters, Digital--Computer simulation.
dc.subject.lcshLinear control systems--Computer simulation.
dc.subject.lcshLyapunov functions.
dc.titleControl and filtering of time-varying linear systems via parameter dependent Lyapunov functionsen_US
dc.typeDissertationen_US
dc.description.degreeElectrical Engineeringen_US
dc.description.levelDoctoralen_US
dc.description.departmentUniversity of New Mexico. Dept. of Electrical and Computer Engineeringen_US
dc.description.advisorAbdallah, Chaouki Tanios
dc.description.committee-memberHeileman, Gregory L.
dc.description.committee-memberJordan, Ramiro
dc.description.committee-memberdo Val, Joao Bosco Ribeiro
dc.description.committee-memberPeres, Pedro Luis Dias


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