Unknown inputs functional observers designs for descriptor systems with constant time delay

Montassar Ezzine (1, 2) , Harouna Souley Ali (2) , Mohamed Darouach (2) , Hassani Messaoud (1)

1 ENIM - École Nationale d’Ingénieurs de Monastir
2 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, both time and frequency domain new designs of unknown inputs functional observers (UIFO) for a class of descriptor systems with a constant time delay are presented. The order of this unknown input observers is equal to the dimension of the vector to be estimated. The time procedure design is based on Lyapunov stability theory where, after given the existence condition of such observers, the optimal gain implemented in the functional observer with internal delay design is obtained in terms of linear matrix inequalities (LMIs). A design algorithm of UIFO is proposed ; The frequency procedure design is derived from time domain results by applying the factorization approach, where we define some useful Matrix Fraction Descriptions (MFDs). The effect of the proposed approach is illustrated by a numerical example.

Mots clés: Unknown inputs functional observer; Descriptor system; Time delay

Domaines: Automatique / Robotique

Montassar Ezzine, Harouna Souley Ali, Mohamed Darouach, Hassani Messaoud. Unknown inputs functional observers designs for descriptor systems with constant time delay. 18th IFAC World Congress, IFAC WC'2011, Aug 2011, Milan, Italy. pp.CDROM. ⟨hal-00585440⟩