OPTIMAL POSITIONING OF SENSORS AND ACTUATORS USING CLOSED-LOOP NORMS

摘要

This paper discusses the optimization process whereby the "best" positions for sensors and actuators are obtained for observing and controlling a vibrating, continuous structure. Currently used cost functions involving observability/controllability grammians are reviewed. A procedure making use of the H_2 optimal controller design procedure and a cost function involving the 2-norm of the closed-loop system is presented. A pinned-pinned beam is used as an example to demonstrate the effectiveness of this approach.