Robust reduced order unbiased filtering for uncertain systems

Michel Zasadzinski (1) , Harouna Souley Ali (1) , Mohamed Darouach (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents a simple solution to the robust H-infinity unbiased functional reduced order filtering problem in the case of uncertain systems described by Integral Quadratic Constraint (IQC). The existence condition of the unbiased filter is expressed through a rank relation. Then the filter is designed via Linear Matrix Inequalities coupled with an equality constraint. The results obtained in this paper are applicable to unstable systems. The approach is illustrated by a numerical example.

Mots clés: Robust filtering; Reduced order observers; IQC; Uncertainties; LMI; Unbiasedness.; Unbiasedness

Domaines: Automatique / Robotique

Michel Zasadzinski, Harouna Souley Ali, Mohamed Darouach. Robust reduced order unbiased filtering for uncertain systems. International Journal of Control, 2006, 79 (2), pp.93-106. ⟨hal-00090252⟩