Stabilization of a class of nonlinear affine fractional-order systems

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the asymptotical stabilization of nonlinear affine fractional-order systems. Two static control laws are considered : state and output feedbacks. The asymptotic stability is proven using a proposed generalization of the Bellman-Gronwall lemma.

Mots clés: Affine fractional-order systems; generalization of Bellman-Gronwall lemma; static state feedback; static output feedback; stabilization

Domaines: Automatique / Robotique

Ibrahima N'Doye, Michel Zasadzinski, Mohamed Darouach, Nour-Edine Radhy. Stabilization of a class of nonlinear affine fractional-order systems. 14th International IEEE/IFAC Conference on Methods and Models in Automation and Robotics, MMAR 2009, Aug 2009, Miedzyzdroje, Poland. pp.CDROM. ⟨hal-00411521⟩