NON LINEAR FEEDBACK STABILIZATION OF A ROTATING BODY-BEAM SYSTEM

摘要

This paper deals with nonlinear feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the feedback law proposed here consists of a nonlinear control torque applied on the rigid body and either a nonlinear boundary control moment or a nonlinear boundary control force or both of them applied at the free end of the beam. This nonlinear feedback, which insures the exponential decay of the beam vibrations, extends the linear case studied in (Laousy et al., 1996) to a more general class of controls. This new class of controls is in particular of the interest to be robust.