Design of functional fractional-order observers for linear time-delay fractional-order systems in the time domain

Yassine Boukal (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 presents the functional observers design for linear fractional-order time-delay systems. Conditions for the existence of the these observers are given. Asymptotic stability of these observers are obtained from the fractionalorder Lyapunov function. The gains of the observer are derived by using the linear matrix inequality approach. A numerical example is presented to illustrate our approach.

Mots clés: Fractional-order Time-Delay System; Functional Observer; Lyapunov stability; Linear Matrix Inequality

Domaines: Automatique / Robotique

Yassine Boukal, Mohamed Darouach, Michel Zasadzinski, Nour-Edine Radhy. Design of functional fractional-order observers for linear time-delay fractional-order systems in the time domain. International IEEE Conference on Fractional Differentiation and Its Applications, ICFDA'14, Jun 2014, Catane, Italy. ⟨hal-01017625⟩