By Geert Stremersch (auth.)
Supervision of Petri Nets offers supervisory keep watch over thought for Petri nets with a felony set because the keep an eye on aim. Petri nets version discrete occasion platforms - dynamic platforms whose evolution is totally made up our minds by means of the prevalence of discrete occasions. keep watch over legislation, which ensure that the approach meets a suite of requisites within the presence of uncontrollable and unobservable occasions, are studied and built, utilizing program parts comparable to computerized production and transportation structures.
Supervision of Petri Nets introduces a brand new and mathematically sound method of the topic. latest effects are unified via featuring a common mathematical language that makes broad use of order theoretical rules, and diverse new effects are defined, together with ready-to-use algorithms that build supervisory keep watch over legislation for Petri nets.
Supervision of Petri Nets is a wonderful reference for researchers, and will even be used as a supplementary textual content for complex classes on regulate theory.
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Extra resources for Supervision of Petri Nets
It is discussed in detail in Section 7 of this chapter. 43 Supervisory control 6. 1 (p. 28). 18) can be realised by extending the Petri net N with extra places. These places are connected in an appropriate manner to the transitions of the Petri net under control. The fact that the closed-loop system is a Petri net, is important for analysis purposes. For in that case, theoretical results and algorithms from Petri net theory can be used to study its behaviour. 2, we first consider legal sets which are given by one inequality.
11 that Oi E ~mi' 9. ~mi-1' Consequently, we obtain 0 Other concurrency assumptions So far we have used the transition bag assumption. The collections of events which can occur simultaneously can contain any number of events any number of times. 2). In many applications the transition bag assumption is not realistic. It is not always true that any collection of events can occur together. In the railway example, two trains that are in the same section cannot move to the next one simultaneously (under the assumption that each state change or event is observed 'immediately').
In contrast to the transition bag assumption, in each step at most one transition can be executed once. In other words, for a discrete event system, no two events can occur together and no event more than once at the same time. Note that 6. N is, with respect to the componentwise partial order, an antichain for all m. There are no two different comparable elements. Under the no concurrency assumption reachable sets are defined in a similar manner as the sets in Section 6. As one would expect, 6.
Supervision of Petri Nets by Geert Stremersch (auth.)