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[CL12a] On Structural Minimality of Optimal Supervisors for Flexible Manufacturing Systems

Revue Internationale avec comité de lecture : Journal Automatica, vol. 48(10), pp. 2647-2656, 2012
motcle:
Résumé: This paper develops a place invariant based deadlock prevention method to obtain an optimal, i.e., maximally permissive, liveness-enforcing Petri net supervisor with a minimal supervisory structure \textcolor[rgb]{0.00,0.00,1.00}{that means the minimal number of control places}. Maximal permissiveness can be achieved by designing place invariants that make all legal markings reachable while all first-met bad markings unreachable. An integer linear programming problem is formulated to compute all place invariants and its objective function minimizes the number of place invariants, aiming to yield a minimal supervisory structure. Importantly, we develop a technique to greatly improve the efficiency of the proposed method by reducing the number of constraints and variables in the integer linear programming problem under consideration. A number of examples from the literature are used to illustrate the proposed approaches.

Equipe: sys

BibTeX

@article {
CL12a,
title="{On Structural Minimality of Optimal Supervisors for Flexible Manufacturing Systems}",
author="Y. Chen and Z. Li",
journal="Automatica",
year=2012,
volume=48,
number=10,
pages="2647-2656",
}