Bi-quadratic 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

5

fYear

1999

fDate

1999

Firstpage

5016

Abstract

Deals with the problem of robust stability of linear systems with uncertain real time-varying parameters with magnitudes and rates of change (or variations, in discrete-time) which are confined to a given convex region. A notion of robust stability, referred to as bi-quadratic stability, which is based on a Lyapunov function that depends quadratically on the uncertain parameters is proposed. LMI based sufficient conditions for bi-quadratic stability of continuous- and discrete-time systems are developed. The proposed stability analysis methods have the advantage that they can be used for solving problems of robust control synthesis, including robust stabilization, robust H₂ control, and robust H_∞ control

Keywords

H^∞ control; linear systems; robust control; uncertain systems; LMI based sufficient conditions; Lyapunov function; bi-quadratic stability; convex region; robust H_∞ control; robust H₂ control; robust control synthesis; robust stability; stability analysis methods; uncertain linear systems; uncertain real time-varying parameters; Automation; Control system synthesis; Control systems; Linear systems; Lyapunov method; Robust control; Robust stability; Stability analysis; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833343

Filename

833343