H-infinity observer design for linear fractional-order systems in time and frequency domains

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

In this paper, the problem of robust fractionalorder observer (RFO) design in time and frequency domains for disturbed fractional-order system is investigated. The main results include the formulation of robust observer design problems in time and frequency domains. In the time domain, we develop a sufficient condition for the existence of a robust observer design, and its construction is based on the Linear Matrix Inequalities (LMI) formulation. The frequency procedure design is derived from time domain results with the aid of the factorization approach, where we define some useful coprime factorization. An illustrating example is presented to demonstrate the effectiveness of the proposed approach.

Mots clés: Fractional-order system; H-infinity norm; coprime factorisation; fractional observer; linear matrix inequality

Domaines: Automatique / Robotique

Yassine Boukal, Mohamed Darouach, Michel Zasadzinski, Nour-Edine Radhy. H-infinity observer design for linear fractional-order systems in time and frequency domains. 13th European Control Conference, ECC'14, Jun 2014, Strasbourg, France. ⟨hal-01017629⟩