Active vibration control of smart plate with self-sensing piezoelectric actuators

For the simply supported rectangular plate, the transverse deflection of plate is expanded over the modal shapes, the electromechanical model of the plate with self-sensing actuators is built, and the state space equation described by generalized coordinate, and measurement equation, in which the current of sensors is considered as output, are given. LQG and H_∞ control method are adopted. The numerical simulation for the self-sensing thin plate on which three pairs piezoelectric films are bonded, is performed. The H_INF control solution is compared with that of LQG control. The simulation results illustrates the effectiveness of the control methods.