Biquadratic stability of uncertain linear systems

Author

Trofino, Alexandre ; de Souza, Carlos E.

Author_Institution

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

Volume

46

Issue

8

fYear

2001

fDate

8/1/2001 12:00:00 AM

Firstpage

1303

Lastpage

1307

Abstract

Deals with the problem of stability analysis for linear systems with uncertain real, possibly time-varying, parameters. A robust stability approach based on a Lyapunov function which depends quadratically on the uncertain parameters as well as in the system state is proposed. This robust stability approach, referred to as biquadratic stability, is suited to deal with uncertain real parameters with magnitude and rate of change which are confined to a given convex region. A linear matrix inequality based sufficient condition for biquadratic stability is developed. The proposed robust stability analysis method includes quadratic stability and affine quadratic stability as particular cases

Keywords

Lyapunov methods; linear systems; matrix algebra; robust control; time-varying systems; uncertain systems; Lyapunov function; affine quadratic stability; biquadratic stability; convex region; linear matrix inequality; robust stability; robust stability analysis method; stability analysis; sufficient condition; uncertain linear systems; uncertain real parameters; Automatic control; Equations; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Numerical simulation; Observability; Robust stability; Stability analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.940939

Filename

940939