Robust filter design for polytopic systems

Author

Zasadzinski, M. ; Darouach, M. ; Ali, H. Souley ; Rafaralahy, H.

Author_Institution

CNRS, Univ. Henri-Poincare-Nancy I, Longwy, France

Volume

4

fYear

2003

fDate

4-6 June 2003

Firstpage

2913

Abstract

This paper presents, in both continuous and discrete-time cases, a solution to the robust H_∞ and L₂ - L_∞ functional reduced order filtering problem via LMI methods for uncertain polytopic systems. After giving necessary and sufficient conditions for the existence and the stability of the unbiased filter in the nominal case, the result is extended to derive a robust filter. The problem is transformed into a static output feedback one and is solved by LMI.

Keywords

H^∞ control; continuous time filters; control system synthesis; discrete time filters; feedback; filtering theory; linear matrix inequalities; observers; reduced order systems; uncertain systems; H_∞ function; L₂ - L_∞ function; LMI; continuous time filter; discrete time filter; filter design; linear matrix inequalities; polytopic systems; reduced order observer; static output feedback; Estimation error; Filtering; Nonlinear filters; Output feedback; Robust control; Robust stability; Robustness; State estimation; Sufficient conditions; Uncertain systems;

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.2003.1243766

Filename

1243766