A. Giua, C. Mahulea, L. Recalde, C. Seatzu, M. Silva
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Optimal control of continuous Petri nets via model predictive control
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