Formal modeling and synthesis of event-transferring communication among decentralized supervisors for discrete-event systems

This work proposes to model and synthesize Event-transferring communication among decentralized supervisors for a Discrete-Event System (DES) within the framework of Distributed Supervised Discrete-Event Systems (DSDESs), which was introduced by the authors. This relies on the Polynomial Dynamical System (PDS) representation of DSDESs, which reveals the informational dependencies among supervisors. To serve these dependencies, communication between every two supervisors is modeled by a communication event, whose semantics is defined by a map from observable events of the issuer of the communication to its set of event-encoding variables. Thereby, the synthesis of communicating decentralized supervisors is reduced to the design of these maps using standard algebraic tools. The approach is illustrated through formal synthesis of an information policy.