Improved LMI representations for bounded real criterion of systems with polytopic type uncertainty

Author

Li, Tong ; Jia, Yingmin

Author_Institution

Seventh Res. Div., Beijing Univ. of Aeronaut. & Astronaut., China

Volume

1

fYear

2003

fDate

4-6 June 2003

Firstpage

851

Abstract

An improved bounded real criterion is derived by employing a descriptor system approach. When used in robust performance analysis of systems with convex polytopic type uncertainty, it can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Compared with the existing similar results, our approach shows some favorable features in computation. Two numerical examples are included to illustrate the effectiveness of the proposed representations.

Keywords

Lyapunov methods; linear matrix inequalities; robust control; state feedback; uncertain systems; LMI representations; bounded real criterion; classical quadratic method; conservatism inherent; descriptor system; linear matrix inequality; parameter dependent Lyapunov function; polytopic type uncertainty; robust performance analysis; state feedback; Lyapunov method; Performance analysis; Robust stability; Robustness; Stability analysis; State-space methods; Symmetric matrices; System testing; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1239128

Filename

1239128