Observers design for singular fractional-order systems

Ibrahima N'Doye (1) , Mohamed Darouach (1) , Michel Zasadzinski (1) , Nour-Edine Radhy (2)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 LMPGI - Laboratoire Mécanique, Productique et Génie Industriel

This paper considers the observers design for continuous-time singular fractional-order systems. The approach is based on the generalized Sylvester equations solutions. The conditions for the existence of these observers are given and sufficient conditions for their stability are derived in terms of linear matrix inequalities formulation.

Mots clés: Singular fractional-order systems; Generalized Sylvester equations; Linear matrix inequalities; Reduced order observer; Full order observe; Stability

Domaines: Automatique / Robotique

Ibrahima N'Doye, Mohamed Darouach, Michel Zasadzinski, Nour-Edine Radhy. Observers design for singular fractional-order systems. 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Dec 2011, Orlando, Florida, United States. pp.CDROM. ⟨hal-00651140⟩