离散事件动态系统的能达能观性与对干扰解耦的周期合并配置

THE REACHABILITY,OBSERVABILITY AND PERIOD MERGING ASSIGNMENT WITH DDP OF DEDS

能达与不能达子空间,能观与不能观子空间是 Wonham 教授创建的多变量控制几何方法的几个基本概念.对 DEDS 文献[2,3]提出了分别能达概念及其充要条件;文[2]还给出了与能达有关的标准结构;文[3]提出了上界能观及其充要条件;文[4]给出了用反馈合并周期的充分条件;文[5]得到了用输出反馈合并配置周期的充要条件.

For discrete-event dynamic systems (DEDS) described by max algebra,the methods andideals of geometric theory of linear multivariable control systems put forward by Wonham areemployed in this paper to discuss the construction of the submodule which is respectivelyreachable and upper-level observable.It is concluded that a submodule which satisfies respectivereachability is just the maximal submodule whose period can be merging assigned.Some otherimportant conclusions corresponding to DDPS,OSP,RRP are also obtained.