约束系统的自触发控制:基于压缩集的方法(技术报告)
Self-triggered control for constrained systems: a contractive set-based approach (Technical report)
摘要:
本文提出了一种用于有约束离散时间控制系统的自触发控制方案。我们的方法的核心思想是从多面体集合中构造一个转换系统或图结构,这些多面体集合是基于{集合不变性理论}的概念生成的。然后通过标准图搜索算法确定事件间时间步长,以获得到达终态的最小总成本。所提出的策略是通过一个数值例子来说明。
英文摘要:
In this paper, a self-triggered control scheme for constrained discrete-time control systems is presented. The key idea of our approach is to construct a transition system or a graph structure from a collection of polyhedral sets, which are generated based on the notion of {set-invariance theory}. The inter-event time steps are then determined through a standard graph search algorithm to obtain the minimal total cost to a terminal state. The proposed strategy is illustrated through a numerical example.
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