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Output feedback control of discrete processes under time constraint: application to cluster tools

机译:时间约束下的离散过程的输出反馈控制:群集工具的应用

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摘要

Practical control of timed behaviours in industrial applications is difficult. One of the few efficient modelling approaches to deal with time constraints on discrete event systems is to use timed event graph (TEG), a subclass of Petri nets. The dynamic behaviour of these graphs is represented by a linear equations system over the max-plus algebra. Up to date, these models were assumed to be fully observable. In this paper, it is demonstrated that if a TEG is strongly connected, one can derive a realisable output feedback control. In other words, the control law depends solely on the control itself and the system's outputs, considered to be the only observable events. The satisfaction of a set of constraints is addressed in the case of a single input model (i.e. having only one input transition) and the procedure to derive a realisable output feedback control law is provided. Finally, the present control method is applied to a dual-armed cluster tool, a well-known industrial practical application.
机译:实际控制工业应用中的定时行为很困难。用于处理离散事件系统上的时间限制的几种有效建模方法之一是使用定时事件图(TEG),Petri网的子类。这些图的动态行为由MAX-PLUS代数上的线性方程系统表示。最新的,假设这些模型是完全可观察的。在本文中,证明了如果TEG强烈连接,则可以导出可实现的输出反馈控制。换句话说,控制法完全取决于控制本身和系统的输出,被认为是唯一可观察事件。在单个输入模型(即只有一个输入转换)的情况下,解决了一组约束的满足,并且提供了导出可实现的输出反馈控制定律的过程。最后,目前的控制方法应用于双臂集群工具,是一家知名工业实用应用。

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