Chapter . Petri net controller synthesis using theory of regions

Z. Achour[a], A. Ghaffari[a], N. Rezg[a], X. Xic[a],[b]

Abstract

Petri net controller synthesis is formally treated in this paper. Two supervisory control problems of plant Petri net models, forbidden state problem and forbidden state-transition problem, are defined. The theory of regions is used to provide algebraic characterizations of pure control places and impure control places for both problems. Thanks to Farkas-Minkowski’s lemma, the algebraic characterizations lead to nice geometric characterization for the existence of control places for the two supervisory problems. A railway network application is presented.

Introduction

In our previous work [1], we proposed an approach for ...

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