Reduced order unbiased filtering for a class of uncertain bilinear systems

Author

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

Author_Institution

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

Volume

3

fYear

2001

fDate

2001

Firstpage

2145

Abstract

This paper presents a simple solution to the ℋ_∞ unbiased functional reduced order filtering problem via linear matrix inequality (LMI) methods for bilinear systems. We extend the result to the robust filtering for bilinear systems subject to structured norm-bounded time-varying uncertainties. After giving conditions for the existence of the unbiased filter in the nominal case, we show that the filter design is reduced to a small gain problem in the nominal case and to a static output feedback one when the nominal bilinear system is affected by the uncertainties

Keywords

asymptotic stability; bilinear systems; continuous time systems; convergence; feedback; filtering theory; matrix algebra; reduced order systems; state estimation; uncertain systems; H_∞ filtering; bilinear systems; continuous-time system; exponential stability; linear matrix inequality; output feedback; reduced order filtering; robust filtering; unbiased filtering; uncertain systems; Attenuation; Control systems; Convergence; Filtering; Nonlinear filters; Nonlinear systems; Robustness; State estimation; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980571

Filename

980571