PIEZOELECTRIC ACTUATOR DESIGN FOR VIBRATION SUPPRESSION - PLACEMENT AND SIZING

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