Boundary control of large vibration of FGM rectangular plates

This paper presents a solution to the boundary stabilization of a large deflection FGM plate in free transverse vibration. The FGM 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 FGM plate with simply supported boundary condition via boundary control without resorting to truncation of the model.