NUMERICAL SIMULATION AND EXPERIMENTAL VERIFICATION OF A SUPERVISORY CONTROL SCHEME OF A FLEXIBLE BEAM WITH SWITCHING PIEZO ACTUATORS

摘要

In this note, we propose a supervisory control scheme in order to address the (possible) performance improvement of a system subject to spatiotemporally varying disturbances within the context of vibration suppression of a flexible beam. This is achieved by switching to different actuating devices at different time intervals. Specifically, the flexible structure under study is assumed to have multiple piezoceramic (PZT) actuators available with only one being active over a. time interval of fixed length while the remaining ones are kept dormant. The optimally of switching to a different actuating device with its own switching control signal is with respect to the minimal cost of an associated LQR/LQG performance index that corresponds to each actuator. In the proposed algorithm, a control logic is incorporated that only selects the next actuator to be activated from the set of actuators that spatially lies closer to spatially varying disturbances. Numerical studies and experimental results are presented to support the proposed actuator/controller switching scheme.