Modeling and synthesis of supervisory control based on Petri nets for distributed objects. I. Interaction mechanism and the basic method

We describe a methodology of discrete event modeling for a class of distributed objects and their required behavior (specifications) for the design of real time automation systems. In our methodology, we use the structured discrete event system (SDES2) model: on the first stage, it is used to analyze the functionality and coherence of the object and its specification; on the second, we propose for SDES2 a basic synthesis method that works for the models of object and supervisor based on Petri nets (both modeling and controlling). At the same time, we propose to synthesize the supervisor as a Petri net embedded in SDES2 with a feedback circuit in order to restrict the object's operation according to specification requirements. We propose an interaction mechanism for the modeling and controlling Petri nets with the object and the external environment. In essence, the interaction mechanism is an object control scheme based on the constructed net. This mechanism analyzes the current state of the object and computes the controls that should be passed on to the object's actuators. Computations are done with a cyclic procedure looping over the matrix representation of the net.