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Feedback control logic for forbidden-state problems of marked graphs: application to a real manufacturing system

机译:标记图的禁止状态问题的反馈控制逻辑:在实际制造系统中的应用

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摘要

This paper addresses the forbidden-state problem of general marked graphs with uncontrollable transitions. The models need not to be safe nor cyclic. Control requirements are expressed as the conjunction of general mutual exclusion constraints (GMEC) of markings of so-called critical places. Structural properties such as influence paths and influence zones are proposed to perform the worst-case analysis for each GMEC specification with any given initial marking when only uncontrollable transitions are allowed. Efficient solutions are proposed for the determination of the maximal uncontrollably reachable marking of any critical place, and this for many possible, more or less general, configurations of the net structure, even for the case of overlapping paths of critical places. Besides, we demonstrate that these results can be easily extended to unbounded nets and when critical places have negative weights. For the most general case, when analytical solution is not available, a linear programming approach is proposed. The great advantage of the proposed approach over existing methods is emphasized by using it to solve the supervisory control problem of the automated manufacturing system of Atelier Inter-etablissements de Productique Rhone Alpes Ouest (AIP-RAO), Lyon, France.
机译:本文解决了具有不可控制转变的一般标记图的禁态问题。这些模型既不必是安全的,也不是周期性的。控制要求表示为所谓关键场所标记的通用互斥约束(GMEC)的结合。当只允许不可控制的过渡时,建议使用结构特性(如影响路径和影响区)对具有任何给定初始标记的每个GMEC规范执行最坏情况分析。提出了一种有效的解决方案,用于确定任何关键位置的最大不可控制的可达标记,这对于网状结构的许多可能的,或多或少通用的配置,即使对于关键位置的路径重叠也是如此。此外,我们证明了当关键位置的权重为负时,这些结果可以轻松地扩展到无界网络。对于最一般的情况,当没有解析解时,提出了一种线性规划方法。通过使用该方法来解决法国里昂的法国罗纳-阿尔卑斯大区工作室间工业自动化系统(AIP-RAO)自动化制造系统的监督控制问题,强调了该方法相对于现有方法的巨大优势。

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