Application of Prediction Methods for Plate Vibration Suppression

In this paper, predictive feedback control is used to suppress circular plate vibrations. It is assumed that the system to be regulated is unknown. The plate is excited by a uniform force over the bottom surface generated by a loudspeaker. The axially-symmetrical vibrations of the plate are measured by the application of the strain sensors located along the plate radius and two centrally placed piezoceramic discs are used to cancel the plate vibrations. The control schemes presented in this work have the ability to predict the error sensor signals, to compute the control effort and to apply it to the actuator within one sampling period. For precise estimation of system behaviour the modified Runge-Kutta-3/8 neural network algorithm has been applied and tested. This control scheme is then illustrated through some numerical examples with simulations modeling the fuzzy predictive P-PI-PD controller and the improvement gained by incorporating a feed-forward path into the controller is demonstrated.