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

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.

Name thesis:degree_name

Electrical Engineering

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Year

2009

Author dc:creator

• Borges, Renato Alves

Contributors dc:contributor

• Abdallah, Chaouki Tanios
• Heileman, Gregory L.
• Jordan, Ramiro
• do Val, Joao Bosco Ribeiro
• Peres, Pedro Luis Dias

• Electric filters
• Digital--Computer simulation.
• Linear control systems--Computer simulation.
• Lyapunov functions.

Language dc:language

English

Repository record dc:identifier

https://digitalrepository.unm.edu/ece_etds/38

OAI identifier oai:identifier

oai:digitalrepository.unm.edu:ece_etds-1037