PIEZOELECTRIC ACTUATOR DESIGN FOR VIBRATION SUPPRESSION - PLACEMENT AND SIZING

In this paper we consider the problem of simultaneous placement and si zing of distributed piezoelectric actuators to achieve the control obj ective of damping vibrations in a uniform beam. For several closed-loo p performance measures we obtain optimal placement and sizing of the a ctuators using a simple numerical search algorithm. These measures are applied to the specific example of a simply-supported beam with piezo electric actuators, and their relative effectiveness is discussed. We demonstrate that the controllability grammian is not suitable to deter mine actuator placement for vibration suppression problems.