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Control and filtering of time-varying linear systems via parameter dependent Lyapunov functions


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/9842

Control and filtering of time-varying linear systems via parameter dependent Lyapunov functions

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dc.contributor.author Borges, Renato Alves
dc.date.accessioned 2009-08-27T22:25:55Z
dc.date.available 2009-08-27T22:25:55Z
dc.date.issued 2009-08-27T22:25:55Z
dc.date.submitted July 2009
dc.identifier.uri http://hdl.handle.net/1928/9842
dc.description.abstract The 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.sponsorship Fundação 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.iso en_US en_US
dc.subject Uncertain discrete-time system en_US
dc.subject Robust stability en_US
dc.subject H-infinity norm en_US
dc.subject Parameter dependent Lyapunov function en_US
dc.subject Linear matrix inequality en_US
dc.subject Polytopic model en_US
dc.subject.lcsh Electric filters, Digital--Computer simulation.
dc.subject.lcsh Linear control systems--Computer simulation.
dc.subject.lcsh Lyapunov functions.
dc.title Control and filtering of time-varying linear systems via parameter dependent Lyapunov functions en_US
dc.type Dissertation en_US
dc.description.degree Electrical Engineering en_US
dc.description.level Doctoral en_US
dc.description.department University of New Mexico. Dept. of Electrical and Computer Engineering en_US
dc.description.advisor Abdallah, Chaouki Tanios
dc.description.committee-member Heileman, Gregory L.
dc.description.committee-member Jordan, Ramiro
dc.description.committee-member do Val, Joao Bosco Ribeiro
dc.description.committee-member Peres, Pedro Luis Dias

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