LMI APPROACH TO GLOBAL AND LOCAL SWITCHING CONTROLLER DESIGN OF FLEXIBLE STRUCTURES

The primary objective of the present work is to design a common stabilizing feedback controller for a flexible beam that utilizes multiple piezoceramic actuators but only activates a single actuator over a time interval of fixed length. The secondary goal is to then provide an activation policy that engages a different actuator at different time intervals. Only a single actuator will be active at any time interval of fixed length and the controller logic will switch to a new actuator at the beginning of a new time interval. The motivation for this proof-of-concept actuator switching policy is to ensure that in the event of transition from linear-to-nonlinear actuator dynamics, overworked actuators will recuperate before they are again and the system will be guaranteed to a have linear actuator at all times.

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