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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Unknown Input Observer Design for Linear Fractional-Order Time-Delay Systems

Journal of Applied Nonlinear Dynamics 4(2) (2015) 117--130 | DOI:10.5890/JAND.2015.06.002

Y. Boukal$^{1}$,$^{2}$, M. Darouach$^{1}$, M. Zasadzinski$^{1}$, N.E. Radhy$^{2}$

$^{1}$ Université de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN UMR-7039, CNRS), IUT de Longwy, 186 rue de Lorraine 54400, Cosnes et Romain, France

$^{2}$ Université Hassan II, Faculté des Sciences Ain-Chock, Laboratoire Physique et Matériaux Micro électronique Automatique et Thermique BP: 5366 Maarif, Casablanca 20100, Morocco

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Abstract

This paper considers unknown input functional fractional order observer design for fractional-order linear time-invariant (LTI) systems with a constant time delay. After given the existence conditions of such observer, based on the fractional order Lyapunov stability approach, a sufficient condition for the asymptotic stability of the estimation error is given in a linear matrix inequality (LMI) formulation. The obtained results are illustrated by a numerical example.

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