离散事件系统状态反馈控制的几何理论的进一步拓广

Further Extending of the Geometric Theory of State Feedback Control for Discrete Event Systems

本文研究了定义在状态-事件序列上的谓词的离散事件系统的状态反馈控制问题。离散事件系统的数学模型是自动机。状态反馈与闭环过程的关系及许多基本的几何性质得到了详细的阐明;在这些几何背景下,解决了离散事件系统状态反馈控制的拓广问题,包括关于简单谓词与一般谓词的问题。

This paper studies the problem of state feedback control for discrete event systems, where the predicate is defined on the set of state-event sequences. Discrete event system is modelled as automaton. The relations between state feedback and closed-loop process,and many essential geometric properties are expounded carefully. Under the geometric background,the extended problem of state feedback control for discrete event systems is solved, including both simple and general predicate.