Optimal control of vibrations on a metal plate contacted a fluid

In this thesis, it is aimed to obtain the optimal control function for the control of vibrations in a rectangular metalic plate with magneto-electric elastic structure, which is in contact with the fluid, exposed to an external force, and to dampen the vibrations that occur in the system. First of all, it is assumed that the system under consideration is controllable. The existence and uniqueness of the solution of the system, uniqueness of the control function were investigated. For using of the maximum principle method, the conjugate system and terminal conditions of the system were determined. The optimal control function was obtained by means of maximum principle. After the partial differential equation system in the system was solved, the results obtained were presented with tables and graphics.