Hybrid Modeling and Fuzzy Control via Petri Nets for Supply Chain Networks Under Disruptions

Based on Petri nets (PNs), this paper tackles the problem of hybrid modeling and fuzzy control of supply chain networks (SCNs) under disruptions. First, a new fuzzy-based SCN operational model using delivery rate regulation experience is developed, which can be regarded as a fuzzy interconnected large-scale system. Then, a PN-based formal system approximation for continuous operational activities is performed, while visualizing discrete disruption events. As a result, the unified model of SCN hybrid dynamics is achieved via PNs, which has the potential advantage on facilitating the monitor of SCN changes in a general graphical and mathematical language. Furthermore, PN-based fuzzy control design criteria are derived via Lagrange and Lyapunov stability analysis on the hybrid markings. Finally, a hydrogen SCN case in the IEEE PJM 5-bus power system is provided to substantiate the effectiveness and benefits of the proposed methods.