Theme 4 | Simulation et optimisation de systemes complexes

Abstract

This paper deals with nonlinear feedback stabilization problem of a #exible beam clamped at a rigid body and free at the other end. We assume that there is no damping. The feedbacklaw proposed here consists of a nonlinear control torque applied to the rigid body and either a nonlinear boundary control moment or a nonlinear boundary control force or both of them applied to the free end of the beam. This nonlinear feedback, which insures the exponential decay of the beam vibrations, extends thelinear case studied by Laousy et al. to a more general class of controls. This new class of controls is in particular of the interest to be robust