Robust stability and domain of attraction of uncertain nonlinear systems

Author

Trofino, Alexandre

Author_Institution

Dept. of Syst. & Autom., Univ. Federal de Santa Catarina, Florianapolis, Brazil

Volume

5

fYear

2000

fDate

2000

Firstpage

3707

Abstract

This paper deals with the robust stability of nonlinear systems having real time varying parameters with magnitude and rate of variation which are confined to a given polytope. The system matrices may have entries which are rational functions of the states and uncertain parameters. We present LMI conditions that, when feasible, guarantee the asymptotic stability of the origin of the system through a Lyapunov function of the type v(x, δ)=x´P(x, δ)x where P(x, δ) is a polynomial matrix function of the states (x) and uncertain parameters (δ). A method of maximizing an estimate of the region of attraction is also presented

Keywords

Lyapunov methods; asymptotic stability; matrix algebra; nonlinear control systems; rational functions; robust control; stability criteria; time-varying systems; uncertain systems; LMI conditions; Lyapunov function; attraction domain; guaranteed asymptotic stability; polynomial matrix function; polytope; rational functions; real-time varying parameters; robust stability; states; system matrices; uncertain nonlinear systems; uncertain parameters; variation rate; Asymptotic stability; Automation; Ear; Filtering; Linear systems; Lyapunov method; Nonlinear systems; Real time systems; Robust control; Robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.879262

Filename

879262