EXPONENTIAL STABILIZATION OF A TRANSVERSELY VIBRATING BEAM VIA BOUNDARY CONTROL

This paper presents a solution to the boundary stabilization of a beam in free transverse vibration. The dynamics of the beam are presented by a non-linear partial differential equation (PDE). A linear control law is constructed to stabilize the beam. The control force consists of feedback from the slope and velocity at the boundary of the beam. The novelty of this article is that it has been possible to stabilize exponentially a free transversely vibrating beam via boundary control without resorting to truncation of the model