Optimal Switching of 1-DOF Oscillating Systems

摘要

This paper considers the class of hybrid linear second-order oscillating systems, in which two parameters are free to be assigned in a finite set of values. The control task is to decide, at any time instant, the value of the parameters as a function of the system state vector, in order to minimize a quadratic functional over an infinite horizon. The problem lends itself to cope with a variety of important applications, in diverse engineering fields. In the paper a numerical algorithm to compute the optimal switching rule is presented. Then the algorithm is applied to a simplified model of a vehicle suspension system with the aim of minimizing the chassis acceleration (comfort-oriented control).