Stability Analysis of Implicit Polynomial Systems

Author

Coutinho, Daniel F. ; de Souza, Carlos E. ; Trofino, Alexandre

Author_Institution

Group of Autom. & Syst., PUC-RS, Porto Alegre

Volume

54

Issue

5

fYear

2009

fDate

5/1/2009 12:00:00 AM

Firstpage

1012

Lastpage

1018

Abstract

This technical note develops a robust stability analysis method for a class of implicit polynomial systems subject to uncertain constant parameters. A polynomial (with respect to the state and uncertain parameters) Lyapunov function is computed to assess the robust local stability of the system and to provide a robust estimate of the domain of attraction. The results are given in terms of linear matrix inequalities that are affinely dependent on the system state and uncertain parameters. Numerical examples illustrate the effectiveness of the developed approach.

Keywords

Lyapunov methods; linear matrix inequalities; polynomials; robust control; uncertain systems; implicit polynomial systems; linear matrix inequalities; polynomial Lyapunov function; robust stability analysis; uncertain constant parameters; Automation; Control systems; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Polynomials; Robust stability; Stability analysis; State estimation; Vectors; Domain of attraction; nonlinear systems; parameter-dependent Lyapunov function; polynomial systems; stability; uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2017145

Filename

4907210