Stabilization of singular fractional-order systems : an LMI approach

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents the asymptotical stabilization problem of linear singular fractional-order systems. The results are obtained in terms of linear matrix inequalities, which are derived using the decomposition on the matrices of the original system. An illustrative example is provided to illustrate the proposed results.

Mots clés: Linear singular fractional-order systems; static state feedback; linear matrix inequality; stabilization

Domaines: Automatique / Robotique

Ibrahima N'Doye, Michel Zasadzinski, Mohamed Darouach, Nour-Edine Radhy. Stabilization of singular fractional-order systems : an LMI approach. 18th Mediterranean Conference on Control and Automation, MED'10, Jun 2010, Marrakech, Morocco. pp.CDROM. ⟨hal-00499589⟩