Exponential observer-based stabilization for a class of affine nonlinear systems

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

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, we investigate the problem of stabilizing a class of nonlinear affine systems by using the generalization of Gronwall-Bellman lemma with two control laws : first a nonlinear state feedback and second a nonlinear observer-based control. The obtained closed-loop stability is exponential.

Mots clés: Nonlinear affine systems; generalization of Bellman-Gronwall lemma; nonlinear stabilization; nonlinear observer

Domaines: Automatique / Robotique

Ibrahima N'Doye, Michel Zasadzinski, Mohamed Darouach, Nour-Edine Radhy. Exponential observer-based stabilization for a class of affine nonlinear systems. 14th International IEEE/IFAC Conference on Methods and Models in Automation and Robotics, MMAR 2009, Aug 2009, Miedzyzdroje, Poland. pp.CDROM. ⟨hal-00411519⟩