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A Set Covering Approach to Design Maximally Permissive Supervisors for Flexible Manufacturing Systems

Author

Listed:
  • Yongyao Li

    (Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau 999078, China)

  • Yufeng Chen

    (Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau 999078, China)

  • Rui Zhou

    (Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau 999078, China
    Waytous Inc., Shenzhen 518131, China)

Abstract

The supervisory control of Petri nets aims to enforce the undesired behavior as unreachable by designing a set of control places. This work presents a set cover approach to design maximally permissive supervisors. For each first-met bad marking, an integer linear programming problem is developed to obtain a control place to prohibit it. An objective function is formulated to make the maximal number of first-met bad markings forbidden. Then, we develop a set covering approach to minimize the number of selected control places. The proposed approach can guarantee the maximal permissiveness of the obtained supervisor and provide a trade-off between structural complexity and computational cost. Several examples are considered to validate the proposed method.

Suggested Citation

  • Yongyao Li & Yufeng Chen & Rui Zhou, 2024. "A Set Covering Approach to Design Maximally Permissive Supervisors for Flexible Manufacturing Systems," Mathematics, MDPI, vol. 12(11), pages 1-20, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1687-:d:1404441
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    References listed on IDEAS

    as
    1. Zhenhua Yu & Xudong Duan & Xuya Cong & Xiangning Li & Li Zheng, 2023. "Detection of Actuator Enablement Attacks by Petri Nets in Supervisory Control Systems," Mathematics, MDPI, vol. 11(4), pages 1-23, February.
    2. Haoming Zhu & Gaiyun Liu & Zhenhua Yu & Zhiwu Li, 2023. "Detectability in Discrete Event Systems Using Unbounded Petri Nets," Mathematics, MDPI, vol. 11(18), pages 1-28, September.
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