Advanced search
Start date
Betweenand


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

Full text
Author(s):
Renato Alves Borges
Total Authors: 1
Document type: Doctoral Thesis
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação
Defense date:
Examining board members:
Pedro Luis Dias Peres; Alexandre Trofino Neto; Reinaldo Martinez Palhares; Juan Francisco Camino; João Bosco Ribeiro do Val
Advisor: Pedro Luis Dias Peres
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 usedto obtain the design conditions, as wellas extra variables introduced bythe Finsler's lemma.Design problems that take into account an H guaranteed cost were investigated, providing robustness with respect to unstructured uncertainties. Numerical simulations show the effciency of the proposed methods in terms of H performance when compared with other strategies from the literature (AU)