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Petri Net Supervisory Method for Linear Constraints and its Applications to Flexible Manufacturing Systems

Petri Net Supervisory Method for Linear Constraints and its Applications to Flexible Manufacturing Systems
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Author(s): Jiliang Luo (Huaqiao University, China)
Copyright: 2013
Pages: 16
Source title: Formal Methods in Manufacturing Systems: Recent Advances
Source Author(s)/Editor(s): Zhiwu Li (Xidian University, People’s Republic of China)and Abdulrahman M. Al-Ahmari (King Saud University, Saudi Arabia)
DOI: 10.4018/978-1-4666-4034-4.ch002

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Abstract

An algorithm is proposed to equivalently transform original linear constraints on Petri nets, where the uncontrollable subnets are forward-concurrent free nets, into admissible ones. Consequently, this algorithm can be used to design both efficient and optimal supervisors for enforcing linear constraints on Petri nets since the problem on how to enforce admissible constraints has been well solved. Further, the supervisor synthesis procedure is presented using this algorithm. Lastly, it is illustrated by an example where an optimal supervisor is designed for a flexible manufacturing system.

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