Design of LQ and LC Optimal Controllers for Plate Vibration

Abstract

Abstract The energy based control strategy “Linear Coupling Control (LCC)” (1) is used for controlling free and forced vibrations in a simply supported plate. The control strategy is implemented by coupling a virtual second order linear system (controller) to an oscillatory plant and creating an energy exchange between the two systems (2). The energy transfer phenomena from the plant to the controller is maximized by coupling the appropriate states. Once the transfer of energy has taken place it is dissipated via linear damping. To provide a basis for comparing the results of the proposed control algorithm and the conventional control methods, the linear quadratic optimal control method also was implemented. To investigate the performance of the control method, a laminated simply supported plate and the controller are numerically simulated. This paper focuses on design issues and numerical simulation.