The decentralized supervisory structure has drawn much attention in recent years. Many studies are reported in the paradigm of automata while few can be found in the Petri net model. This paper proposes a new method for decentralized supervisory control using the Petri net paradigm. Two efficient Algorithms are developed in the proposed method. Algorithm 1 is used to compute decentralized working zones from the given LS3PR Petri net model for flexible manufacturing systems. Algorithm 2 is used to compute the decentralized controllers that enforced liveness to the decentralized working zones. The sequential assembling is used to reconnect and controlled the working zones via decentralized controllers. The decentralized controller is added to the decentralized working zones that have common elements, that is, common transitions. The proposed method has the following advantages: (i) it can be applied to a complex Petri net model for flexible manufacturing systems, (ii) the proposed methods has less computational complexity when compared with the previous methods, (iii) the proposed method can obtain a minimal number of decentralized controllers that enforce liveness of the uncontrolled Petri net model. Experimental examples are presented to explore the applicability of the proposed methods.

中文翻译：

---

使用 Petri 网优化柔性制造系统分散系统的活性

近年来，分散的监管结构备受关注。许多研究是在自动机范式中报道的，而在 Petri 网模型中很少能找到。本文提出了一种使用 Petri 网范式进行分散监督控制的新方法。在所提出的方法中开发了两种有效的算法。算法 1 用于根据给定的 LS3PR Petri 网模型计算用于柔性制造系统的分散工作区。算法 2 用于计算对分散工作区强制执行活跃度的分散控制器。顺序组装用于通过分散的控制器重新连接和控制工作区。分散控制器被添加到具有共同元素，即共同过渡的分散工作区中。所提出的方法具有以下优点：(i) 可以应用于柔性制造系统的复杂 Petri 网模型，(ii) 与以前的方法相比，所提出的方法计算复杂度较低，(iii) 所提出的方法可以获得最少数量的分散控制器，以增强不受控制的 Petri 网模型的活性。提供了实验示例来探索所提出方法的适用性。