Controllability conditions of resultant siphons in a class of Petri nets

Document Type

Article

Publication Date

1-1-2012

Abstract

Strict minimal siphons (SMSs) play a key role in the development of deadlock prevention policies by using Petri nets for flexible manufacturing systems (FMSs). In this paper, given two SMSs and their resultant siphon, the concept of key resource subsets is proposed which is shown to be the critical factor in deciding the controllability conditions of the latter. A necessary and sufficient condition is then proposed under which the resultant siphon can be always marked if its two SMSs are M-controlled, i.e., invariant controlled via the method proposed by Moody and Antsaklis. As for a resultant siphon that is composed by more than two composable SMSs, a sufficient condition is proposed under which it can be always marked if its SMSs are M-controlled. They are established by analyzing the structural characteristics and markings of the resource subnets in a class of Petri nets called L-S 3PR. When they are applied to some classes of S 3PR nets, i.e., those whose controlled ones are maximally permissive and live once their original SMSs are M-controlled, the number of monitors may be reduced. An FMS example is used to illustrate the application of the results. © 1996-2012 IEEE.

Identifier

84865435926 (Scopus)

Publication Title

IEEE Transactions on Systems Man and Cybernetics Part A Systems and Humans

External Full Text Location

https://doi.org/10.1109/TSMCA.2011.2170419

ISSN

10834427

First Page

1206

Last Page

1215

Issue

5

Volume

42

Grant

Y201018216

Fund Ref

Zhejiang Gongshang University

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