Supervisory eventuality synthesis

H. Xia, A. Trontis, Y. Pang, M. Spathopoulos
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引用次数: 7

Abstract

This paper presents a study on the eventuality synthesis problem for hybrid automata. Given a hybrid automaton and a target set of states, we seek to compute a feedback controller as well as the maximal set of initial states from which all the trajectories of the closed system eventually reach the target set. Considering control action on the discrete event level only and applying reachability analysis, we derive a feedback eventuality controller Since, generally, there does not exist a least restrictive eventuality controller we propose a second controller and derive the necessary condition under which it becomes the least restrictive eventuality controller Finally, we investigate the relationship between eventuality and safety synthesis for hybrid automata and reach the conclusion that there is no duality in the extraction of the control law.
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监督可能性综合
本文研究了混合自动机的偶然性综合问题。给定一个混合自动机和一个目标状态集,我们寻求计算一个反馈控制器以及封闭系统的所有轨迹最终到达目标集的最大初始状态集。仅考虑离散事件层面上的控制作用,应用可达性分析,导出了反馈性事件控制器。由于一般情况下不存在最小约束事件控制器,我们提出了第二控制器,并推导了其成为最小约束事件控制器的必要条件。研究了混合自动机的偶然性与安全综合之间的关系,得出控制律的提取不存在对偶性的结论。
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