Exponential Stabilization of Nonlinear Systems by an Estimated State Feedback

Abderrahman Iggidr (1) , Gauthier Sallet (1)

1 CONGE - Geometric control for non-linear systems

In this paper we investigate the stabi-lizability problem of a class of multi-input multi-output nonlinear systems which linearization at the origin is controllable and observable. Under assumptions on the nonlinear part we prove : (a) the system is globally exponentially stabilizable (G.E.S) by means of linear feedback law. (b) the system can be G.E.S using a state estimation given by an observer.

Mots clés: exponential stabilization; feedback; non-linear systems; Lyapunov functions; observer

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Abderrahman Iggidr, Gauthier Sallet. Exponential Stabilization of Nonlinear Systems by an Estimated State Feedback. Proc. of the 2nd European Control Conference ECC'93, Jun 1993, Groningen, Netherlands. ⟨hal-01862880⟩