LMI based robust stability conditions for linear uncertain systems: a numerical comparison

Author

de Oliveira, P.I. ; Oliveira, R. C L E ; Leite, V.J.S. ; Montagner, V.F. ; Peres, P.L.D.

Author_Institution

DCET - UNEB, Salvador, Brazil

Volume

1

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

644

Abstract

In the paper, several numerical experiments are performed in order to compare three linear matrix inequalities based sufficient conditions for the robust stability of linear systems in polytopic domains. The conditions are the quadratic stability and two robust stability conditions based on parameter dependent Lyapunov functions: one using extra variables and augmented equations and the other using a larger number of equations. From the examples, it is possible to infer about the conservativeness of the conditions and also about the cases in which an equivalence exists. Both continuous-time and discrete-time systems are investigated.

Keywords

Lyapunov methods; continuous time systems; discrete time systems; linear matrix inequalities; linear systems; robust control; uncertain systems; LMI based robust stability conditions; continuous-time systems; discrete-time systems; linear matrix inequalities; linear uncertain systems; parameter dependent Lyapunov functions; polytopic domains; quadratic stability; Equations; Linear matrix inequalities; Linear systems; Lyapunov method; Performance evaluation; Robust stability; Sufficient conditions; Testing; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184575

Filename

1184575