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Contributions to the H-infinity problem for dynamical systems

Author(s):
Márcio Júnior Lacerda
Total Authors: 1
Document type: Doctoral Thesis
Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação
Defense date:
Examining board members:
Carlos Eduardo Trabuco Dórea; Eugênio de Bona Castelan Neto; João Bosco Ribeiro do Val; Juan Francisco Camino dos Santos
Advisor: Pedro Luis Dias Peres
Abstract

This work presents new conditions in the form of linear matrix inequalities for full order H-infinity filter design in three different contexts: i) uncertain linear discrete-time systems with a time-varying delay affecting the states ii) linear parameter-varying systems, continuous and discrete-time, subject to inexactly measured parameters; iii) continuous and discrete-time nonlinear quadratic systems. For each context, the aim is to design filters: i) with state-delayed terms; ii) dependent upon the inexactly measured parameters; iii) with quadratic terms. In each case, the starting point is the existence of a Lyapunov function that assures stability and a bound to the H-infinity norm of the augmented system, that is, the original system conected with the full order filter. The design conditions are obtained by imposing a given structure to the slack variables, resulting in matrix inequalities with scalar parameters. The effectiveness of the proposed conditions is illustrated by means of numerical comparisons and benchmark examples from the literature. (AU)

FAPESP's process: 10/10118-0 - Filter design for dynamic systems with time-varying parameters by means of polynomial Lyapunov functions
Grantee:Márcio Júnior Lacerda
Support type: Scholarships in Brazil - Doctorate