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MPC for discrete-event systems with soft and hard synchronization constraints

机译：具有软同步和硬同步约束的离散事件系统的MPC

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Discrete-event systems with only synchronization and no concurrency, also known as timed event graphs or (max, +)-linear systems, have been studied by several authors. The synchronization constraints that arise in these discrete-event systems are hard, i.e. they cannot be broken under any circumstances. In this paper we consider a more extended class of discrete-event systems with both hard and soft synchronization constraints, i.e. if necessary, some synchronization conditions may be broken, but then a penalty is incurred. We show how the model predictive control (MPC) framework, which is a very popular controller design method in the process industry, can be extended to this class of discrete-event systems. In general, the MPC control design problem for discrete-event systems with soft and hard synchronization constraints leads to a non-linear non-convex optimization problem. We show that the optimal MPC strategy can also be computed using an extended linear complementary problem. [References: 18]
机译：几位作者研究了仅具有同步且没有并发性的离散事件系统，也称为定时事件图或（max，+）-线性系统。在这些离散事件系统中出现的同步约束是困难的，即，它们在任何情况下都不能被打破。在本文中，我们考虑具有硬同步约束和软同步约束的离散事件系统的扩展类别，即如果必要，可能会破坏某些同步条件，但会产生代价。我们展示了模型预测控制（MPC）框架（该方法在过程工业中非常流行的控制器设计方法）如何扩展到此类离散事件系统。通常，具有软同步约束和硬同步约束的离散事件系统的MPC控制设计问题会导致非线性非凸优化问题。我们表明，最佳MPC策略也可以使用扩展线性互补问题来计算。 [参考：18]

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