Design of a functional adaptive observer for bilinear delayed systems

Ahlem Sassi (1, 2) , Harouna Souley Ali (1) , Saïda Bedoui (2) , Kamel Abderrahim (2) , Michel Zasadzinski (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 ENIG - Ecole Nationale d'Ingénieurs de Gabès

A Functional Adaptive Observer (FAO) for a bilinear system with multiple discrete delays, is proposed in this paper. This observer allow the simultaneous estimation of the states and the unknown parameter. Necessary and sufficient conditions of unbiasedness of the functional observer are given. Stability conditions, which depend on system's delays, are given in terms of Linear Matrix Inequalities (LMIs) by using a polytopic LPV approach.

Mots clés: Lyapunov function; Linear Matrix Inequality (LMI); Time delay systems; Bilinear systems.; Adaptive algorithms

Domaines: Automatique / Robotique

Ahlem Sassi, Harouna Souley Ali, Saïda Bedoui, Kamel Abderrahim, Michel Zasadzinski. Design of a functional adaptive observer for bilinear delayed systems. 13th IFAC Workshop on Time Delay Systems, TDS 2016, Jun 2016, Istanbul, Turkey. ⟨hal-01317100⟩