Piezoelectric actuators and sensors location for active control of flexible structures

A new two dimensional model of a piezoelectric actuator bonded to a structure is developed. For a flexible plate with implemented sensors and actuators, a Ritz formulation is used to find a state model of the system in view of its control. Energetic criteria based on the properties of the controllability and observability gramian matrices are defined to determine the optimal locations of sensors and actuators.