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

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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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Title: Control and filtering of time-varying linear systems via parameter dependent Lyapunov functions
Author: Borges, Renato Alves
Advisor(s): Abdallah, Chaouki Tanios
Committee Member(s): Heileman, Gregory L.
Jordan, Ramiro
do Val, Joao Bosco Ribeiro
Peres, Pedro Luis Dias
Department: University of New Mexico. Dept. of Electrical and Computer Engineering
Subject: Uncertain discrete-time system
Robust stability
H-infinity norm
Parameter dependent Lyapunov function
Linear matrix inequality
Polytopic model
LC Subject(s): Electric filters, Digital--Computer simulation.
Linear control systems--Computer simulation.
Lyapunov functions.
Degree Level: Doctoral
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.
Graduation Date: July 2009
URI: http://hdl.handle.net/1928/9842


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