Control Law for Two-Process Flexible Manufacturing Systems Modeled Using Petri Nets

Yang Yang, Junjun Yang, Na Liang () and Chunfu Zhong
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Yang Yang: School of Electro-Mechanical Engineering, Xidian University, Xi’an 710071, China
Junjun Yang: School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
Na Liang: Department of Electronic and Optical Engineering, Aerospace Engineering University, Beijing 101416, China
Chunfu Zhong: School of Electro-Mechanical Engineering, Xidian University, Xi’an 710071, China

Mathematics, 2025, vol. 13, issue 4, 1-18

Abstract: The deadlock control problem in flexible manufacturing systems (FMSs) has received much attention in recent years. The formalism of the Petri net is employed to effectively model, analyze, and control deadlocks in an FMS case study. There are many kinds of deadlock prevention strategies based on the Petri net approach, where computational complexity is a major problem that needs to be considered. Based on the Petri net theory, this paper focuses on the two special subclasses in the S 3 PR net, namely the dual-process S 3 PR and the dual-process US 3 PR, in a bid to prevent deadlocks in an FMS. The relationship between the net structural characteristics and the deadlocks reached was analyzed, and then a regular method of adding controllers for these two models was proposed to reduce computational complexity.

Keywords: flexible manufacturing system; Petri net; deadlock prevention; computational complexity; control law (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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