An LMI condition for the robust stability of uncertain continuous-time linear systems

Author

Ramos, Domingos C W ; Peres, Pedro L D

Author_Institution

EMBRAER-PC, Sao Jose, Brazil

Volume

47

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

675

Lastpage

678

Abstract

A new sufficient condition for the robust stability of continuous-time uncertain linear systems with convex bounded uncertainties is proposed in this note. The results are based on linear matrix inequalities (LMIs) formulated at the vertices of the uncertainty polytope, which provide a parameter dependent Lyapunov function that assures the stability of any matrix inside the uncertainty domain. With the aid of numerical procedures based on unidimensional search and the LMIs feasibility tests, a simple and constructive way to compute robust stability domains can be established

Keywords

Lyapunov matrix equations; linear systems; robust control; stability criteria; uncertain systems; LMI; convex bounded uncertainties; linear matrix inequalities; parameter dependent Lyapunov function; robust stability condition; robust stability criterion; uncertain continuous-time linear systems; Linear matrix inequalities; Linear systems; Lyapunov method; Robust stability; Stability analysis; State-space methods; Sufficient conditions; Testing; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.995048

Filename

995048