参数摄动时一类离散事件动态系统的渐近性能估计和鲁棒性条件*

Asymptotical Performance Estimation and Robustness Condition of a Class of DEDS in the Presence of Parameter Perturbations

中文关键词  离散事件动态系统  性能评价  鲁棒性

英文关键词  Discrete event dynamic systems  Performance evaluation  Robustness

中文摘要

      本文针对一类在极大代数上可表示为线性模型的离散事件动态系统，讨论了参数摄动对系统周期稳态性能的影响，给出了定量估计参数摄动下性能改变量的一个关系式，建立了性能对参数摄动不敏感的鲁棒性条件。本文的结果，对确定系统参数的允许摄动范围，使之不破坏离散生产过程的有序和协调运行，是有指导意义的。

英文摘要

      This paper aims at a class of discrete event dynamic system (DEDS) which can be viewed as linear systems in the sense of maximum algebra. The flexible manufacturing systems are of such discrete event dynamic systems. The problem of effect of parameter perturbations on the asymptotical behavior of DEDS is studied and an estimation of the variation of the eigenvalue, in the sense of maximum algebra, of the system matrix is given. A sufficient condition is also given for insensitivity of the asymptotical performance of the closed-loop DEDS to parameter perturbation. It is believable that the results proposed in this paper can be applied to the engineering problems.