Petri Nets at Modelling and Control of Discrete-Event Systems Containing Nondeterminism -- Part 1

keywords: Analysing, control synthesis, controlled Petri nets, discrete-event systems, interpreted Petri nets, modelling, labelled Petri nets, place/transition Petri nets, timed Petri nets, uncertainty, unobservable/uncontrollable transitions, unmeasurable/unobservable places
Discrete-Event Systems are discrete in nature, driven by discrete events. Petri Nets are one of the mostly used tools for their modelling and control synthesis. Place/Transitions Petri Nets, Timed Petri Nets, Controlled Petri Nets are suitable when a modelled object is deterministic. When the system model contains uncontrollable/unobservable transitions and unobservable/unmeasurable places or other failures, such kinds of Petri Nets are insufficient for the purpose. In such a case Labelled Petri Nets and/or Interpreted Petri Nets have to be used. Particularities and mutual differences of individual kinds of Petri Nets are pointed out and their applicability to modelling and control of Discrete-Event Systems are described and tested.
mathematics subject classification 2000: 93-C65, 93-C30
reference: Vol. 37, 2018, No. 5, pp. 1258–1292