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Design of Optimal Petri Net Supervisors for Flexible Manufacturing Systems via Weighted Inhibitor Arcs
Author(s) -
Cong XuYa,
Gu Chao,
Uzam Murat,
Chen YuFeng,
AlAhmari Abdulrahman M.,
Wu NaiQi,
Zhou MengChu,
Li ZhiWu
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1583
Subject(s) - petri net , supervisor , liveness , observer (physics) , net (polyhedron) , computer science , integer programming , linear programming , distributed computing , mathematical optimization , algorithm , mathematics , physics , geometry , quantum mechanics , political science , law
This paper develops an approach to the design of an optimal Petri net supervisor that enforces liveness to flexible manufacturing systems. The supervisor contains a set of observer places with weighted inhibitor arcs. An observer place with a weighted inhibitor arc is used to forbid a net from yielding an illegal marking by inhibiting the firing of a transition at a marking while ensuring that all legal markings are preserved. A marking reduction technique is presented to decrease the number of considered markings, which can dramatically lower the computational burden of the proposed approach. An integer linear program is presented to simplify the supervisory structure by minimizing the number of observer places. Finally, several examples are used to shed light on the proposed approach which can lead to an optimal supervisor for the net models that cannot be optimally controlled via pure Petri net supervisors.