Boundary control of vibration of large deflection isotropic rectangular plates

This paper presents a solution to the boundary stabilization of a large deflection isotropic plate in free transverse vibration. The isotropic plate dynamics is presented by a nonlinear forth order partial differential equations (PDE). A nonlinear control law is constructed to stabilize the plate. The control forces consist of feedback of the velocities and slope and the control moment consists of feedback of the time derivative of slope at the boundary of plate. The novelty of this article is that it is possible to stabilize asymptotically a free transversely large deflection vibrating isotropic plate with simply supported boundary condition via boundary control without resorting to truncation of the model.