We study localisation-based distributed control of timed multi-component discrete-event systems with communication delay in the Brandin–Wonham framework. First, we propose channel models for inter-component event communication with bounded and unbounded delays; the channel models are treated as plant components. In this formulation, there exist multiple distinct observable event sets; thus we employ timed relative coobservability to synthesise partial-observation decentralised supervisors. Then, we localise these supervisors into local controllers and preemptors, which provably tolerate the specified bounded and unbounded communication delays. Finally, the derived local controllers and preemptors are allocated to each plant component, thereby building a purely distributed control architecture of TDES with communication delay. The above results are illustrated by a timed workcell example.

我们研究了具有通信延迟的定时多分量离散事件系统的基于定位的分布式控制在 Brandin-Wonham 框架中。首先，我们提出了具有有界和无界延迟的组件间事件通信的通道模型；通道模型被视为工厂组件。在这个公式中，存在多个不同的可观察事件集；因此，我们采用定时相对可观察性来合成部分观察分散的监督者。然后，我们将这些监督者本地化为本地控制器和抢占者，可证明它们可以容忍指定的有界和无界通信延迟。最后，将派生的本地控制器和抢占器分配给每个工厂组件，从而构建具有通信延迟的纯分布式 TDES 控制架构。上面的结果通过一个定时工作单元的例子来说明。