完全和部分可观察模糊离散事件系统的状态反馈控制

State Feedback Control of Fully and Partially Observable Fuzzy Discrete Event Systems

本文主要讨论完全和部分可观察模糊离散事件系统的状态反馈控制。首先,给出了模糊谓词可观察的定义,并证明了对于预先给定的模糊谓词存在合理的控制器使得闭环系统的可达模糊谓词等于所给定模糊谓词的充要条件是给定模糊谓词可控且可观察;其次,在一定条件下,将部分可观察模糊离散事件系统转化为完全可观察模糊离散事件系统,并讨论了模糊谓词在两类系统之间的控制不变性和可控性。

In this paper, we discuss the state feedback control of fully and partially observable fuzzy discrete event systems. Firstly, the definition of observable fuzzy predicate is given, and we construct a reasonable controller for a specified target fuzzy predicate such that the reachable fuzzy predicate of the closed-loop system equals to the specified fuzzy predicates if and only if the fuzzy predicate is controllable and observable. Secondly, under certain conditions, we transform a partially observable fuzzy discrete event system into a fully observable fuzzy discrete event system, and discuss the control invariance and controllability of fuzzy predicates of two types of systems.