Using Linear Parameter Varying methods for the design of switching piezoceramic actuators in flexible structures

摘要

A control scheme which attempts to address the performance improvement of a system subject to spatiotemporally varying disturbances is proposed within the context of vibration suppression in flexible structures. This is achieved by switching to different actuators at different time intervals. Specifically, the flexible structure under study is assumed to have multiple piezoceramic actuators available with only one being active over a time interval of fixed length while the remaining ones remain dormant. By viewing the system as a Linear Parameter Varying one. a global controller is found that is a stabilizing one for all combinations of active/dormant actuators. The computation of the parameter varying compensator employs convex optimization methods and via LMIs, the desired controller having a certain performance level is found. This actuator switching mimics the case of a moving actuator capable of residing in predetermined positions within the spatial domain of the flexible structure. In the proposed algorithm, a control logic is incorporated that only selects the next actuator to be activated from the set of the remaining actuators using a performance-based measure. Numerical studies for a flexible beam are presented to support the analytical findings of this work.