Optimal control of continuous Petri nets via model predictive control

Abstract

This paper addresses the optimal control problem of continuous Petri nets under infinite servers semantics. Our goal is to find a control input optimizing a certain cost function that permits the evolution from an initial marking to a desired configuration. The problem is studied through model predictive control (MPC), a control method, extensively used in industrial applications. Implicit and explicit procedures are presented together with a comparison between the two schemes