This paper deals with a control problem of discrete event systems subject to capacity constraints. Combined use of timed event graphs and Min-Plus algebra is a well-known approach and efficient for handling timed behavior and mathematical modelling of discrete event systems. However, in current literature, many of control approaches assume that system states are fully observable, which is not the case in our study. Hence, we propose in this paper a feedback control method to guarantee the respect of marking constraints imposed for some paths of partially observable timed event graphs. We demonstrate that if each loop of the considered TEG contains at last one observable transition, we can derive a realisable control law satisfying a set of constraints.

本文讨论了受容量约束的离散事件系统的控制问题。结合使用定时事件图和Min-Plus代数是一种众所周知的方法，可以有效地处理离散事件系统的定时行为和数学建模。但是，在当前文献中，许多控制方法都假定系统状态是完全可观察的，而在我们的研究中情况并非如此。因此，我们在本文中提出一种反馈控制方法，以确保遵守对部分可观察的定时事件图的某些路径施加的标记约束。我们证明，如果所考虑的TEG的每个循环都至少包含一个可观察到的过渡，我们可以得出满足一组约束的可实现控制律。