Optimal state feedback for single-place connected circuits using controlled Dan/Petri nets+

This is the first work in its type trying to optimize the set of controls for a state feedback. Controlled Dan/Petri nets+ is a modeling framework based on Place/Transitions Nets used to model a control-logic called multiple and simultaneous control (MSC) which can reduce the size of the set of controls. In this paper we present the subnet structure called Sigmaf(q) to model the MSC-logic and an algorithm to design an optimal state feedback with a set of controls for a class of Dan/Petri Net+ having a single-place connected circuits and the conditions to obtain a maximally permissive and optimal state feedback.