Modelling and temporal performances evaluation of networked control systems using (max, plus ) algebra

被引：9

作者：

Ammour, R. ^{[1
]}

Amari, S. ^{[2
]}

机构：

[1] Univ Paris 08, Dept Informat, Adv Informat Lab St Denis LIASD, St Denis, France

[2] ENS Cachan, Dept Mech, Univ Res Lab Automated Prod LURPA, Cachan, France

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2015年 / 46卷 / 01期

关键词：

networked control systems; network delays; producer/consumer protocol; (max; plus; algebra; response time; timed event graphs; TRAJECTORY APPROACH; TIME; DELAY;

D O I：

10.1080/00207721.2014.938787

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we address the problem of temporal performances evaluation of producer/consumer networked control systems. The aim is to develop a formal method for evaluating the response time of this type of control systems. Our approach consists on modelling, using Petri nets classes, the behaviour of the whole architecture including the switches that support multicast communications used by this protocol. (max, +) algebra formalism is then exploited to obtain analytical formulas of the response time and the maximal and minimal bounds. The main novelty is that our approach takes into account all delays experienced at the different stages of networked automation systems. Finally, we show how to apply the obtained results through an example of networked control system.

引用

页码：18 / 30

页数：13

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