LMI relaxations for robust H2 performance analysis of polytopic linear systems

Author

Oliveira, Ricardo C L F ; De Oliveira, Maurício C. ; Peres, Pedro L D

Author_Institution

Sch. of Electr. & Comput. Eng., Campinas Univ.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

2907

Lastpage

2912

Abstract

This paper investigates the evaluation of H₂ guaranteed costs of linear uncertain systems in polytopic domains by means of a particular type of polynomial parameter-dependent Lyapunov function. This class of functions, which depend on the dynamic matrix of the system, has been recently proposed for robust stability analysis and is extended here to cope with H₂ guaranteed costs, providing an alternative LMI relaxation which presents a good trade-off between computational burden and accurate results. The results are illustrated by several numerical examples

Keywords

H^infin control; Lyapunov methods; continuous time systems; control system analysis; discrete time systems; linear matrix inequalities; linear systems; robust control; uncertain systems; linear matrix inequality relaxation; polynomial parameter-dependent Lyapunov function; polytopic linear systems; robust H₂ performance analysis; robust stability analysis; uncertain systems; Hydrogen; Linear matrix inequalities; Linear systems; Lyapunov method; Performance analysis; Polynomials; Robust control; Robust stability; Robustness; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.376723

Filename

4177905