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Optimal Control for Switched Distributed Parameter Systems with application to the Guidance of a Moving Actuator

Authors:Iftime Orest, Delft Center for Systems and Control, TU Delft and Faculty of Economics, University of Groningen, Netherlands
Demetriou Michael, Worcester Polytechnic Institute, Dept of Mechanical Engineering, United States
Topic:2.4 Optimal Control
Session:Optimal Control and Estimation in Linear Systems
Keywords: optimal control, hybrid systems, distributed parameters, switching algorithms.

Abstract

The present study considers a hybrid controller scheme for theoptimal switching of a moving (or scanning) actuator (MA) for aclass of distributed parameter systems. The proposed hybridcontroller switches both the location and control signal of theactuator at the beginning of a time interval and remains unchangedover the duration of the time-interval. Guiding the MA at certain apriori selected actuator positions at different time-intervals ismade possible by solving a double optimization problem. Thedecision method for actuator switching utilizes an LQR optimal control policy.A numerical example with simulation results is presented.