Reactive control system design using the Supervisory Control Theory: Evaluation of possibilities and limits

Abstract

Abstract-This paper presents a method to obtain programs to control an industrial equipment using the Supervisory Control Theory (SCT). The presented approach is based on high detailed Process models. A model of the interactions between the Control Unit and the Process is also included in the Plant model to facilitate the extraction of the Controller behavior from the Supervisor. An approach to obtain from the Supervisor a Controller straightforwardly implementable and then to automatically generate the Control Unit program is provided. The method presented in this paper has been tested on several case studies (from Specifications to test with a real Process). A dimensional summary of two of them is presented in the last section.

Event enforcement in the context of the supervisory control theory

“…6. Automaton H ↑ representing K ↑ computed as proposed by [3] by selflooping certain states with the end event. For the considered example, this does not lead to a different result than using the original specification automaton H selflooped with end in each state, so an illustration is omitted here.…”

“…Roussel, Giua, and Cantarelli propose in [2], [3] to consider event enforcement by explicitly modeling the control unit that drives the process. This is motivated by the behavior of real controllers of which the PLC cycle should be taken into account.…”

“…This is motivated by the behavior of real controllers of which the PLC cycle should be taken into account. Therefore, in [3], the control unit is modeled as shown in Fig. 4.…”

“…in [2], [3]. Moreover, a lot of real, uncontrolled systems do not spontaneously generate events without being forced by an external mechanism at least at some point.…”

“…Whereas in [2], [3] all controllable events are supposed to be enforceable, it is expedient to make no general assumption Table I.…”