Supervisory Control of Petri Nets using routing function: Starvation avoidance issues
Identifieur interne : 009936 ( Main/Exploration ); précédent : 009935; suivant : 009937Supervisory Control of Petri Nets using routing function: Starvation avoidance issues
Auteurs : Gülgün Alpan [France] ; Bruno Gaujal [France]Source :
- IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics [ 1083-4419 ] ; 2000.
Descripteurs français
- mix :
Abstract
In this paper, we present a new point of view on supervisory control of Petri nets by using routing functions instead of the traditional control places. We first show the relation between the two notions. In the second part of the paper we illustrate the use of routing functions by showing how to compute a routing function in order to avoid starvation in general Petri nets. This control uses a continuous version of the net and a description of the evolution of the net under the form of linear algebraic equations. As for the computational part, we use algebraic polynomial geometry in the continuous case and Diophantine equations for the discrete version of Petri nets under study.
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
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Le document en format XML
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nets</term><term>routing function</term><term>réseaux de petri</term><term>starvation avoidance</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this paper, we present a new point of view on supervisory control of Petri nets by using routing functions instead of the traditional control places. We first show the relation between the two notions. In the second part of the paper we illustrate the use of routing functions by showing how to compute a routing function in order to avoid starvation in general Petri nets. This control uses a continuous version of the net and a description of the evolution of the net under the form of linear algebraic equations. As for the computational part, we use algebraic polynomial geometry in the continuous case and Diophantine equations for the discrete version of Petri nets under study.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</li><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Alpan, Gulgun" sort="Alpan, Gulgun" uniqKey="Alpan G" first="Gülgün" last="Alpan">Gülgün Alpan</name></region><name sortKey="Gaujal, Bruno" sort="Gaujal, Bruno" uniqKey="Gaujal B" first="Bruno" last="Gaujal">Bruno Gaujal</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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