Robust Vibration Control of a Plate Using Self-sensing Actuators of Piezoelectric Patches

Piezoelectric actuators and sensors are increasingly being used in applications involving vibration/position/shape control devices. Based on the self-sensing actuator (SSA) concept in which the sensors and actuators are seamlessly collocated, this paper presents a study on the robust control of a clamped plate. An analytical model of a plate with surface-bonded piezoelectric patches is derived and a μ-synthesis controller is designed to suppress multi-mode vibrations of the clamped plate under perturbations. The experimental results show that the symmetrical and asymmetrical modes can be effectively suppressed with designed feedback control using two piezoelectric patches which are positioned symmetrically and asymmetrically on the plate, respectively.