Design of control laws for timed event graphs networks subject to mutual exclusion constraints in Min-Plus algebra

被引：7
|
作者：
Soumatia, Maroua [1 ]
Amari, Said [1 ,2 ]
机构：
[1] Univ Saclay, ENS Paris Saclay, LURPA, Paris, France
[2] Univ Sorbonne Paris Nord, Paris, France
来源：
EUROPEAN JOURNAL OF CONTROL | 2022年 / 63卷
关键词：
Discrete event systems; Network of timed event graphs; Min-Plus algebra; Mutual exclusion constraints; Control laws; STATE-FEEDBACK CONTROL; PETRI NETS; SUPERVISORS;
D O I：
10.1016/j.ejcon.2021.11.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The right control of systems, especially when different constraints exist, can avoid many problems of cost and time loss. This paper relates to the resolution of the mutual exclusion problem for discrete event systems modeled with a Network of Timed Event Graphs (NTEGs). It aims to propose formal approaches based on Min-Plus algebra formalisms for the synthesis of control laws to guarantee mutual exclusion constraints in NTEGs. In these studies, the behavior of the network is described by a set of linear Min Plus equations and mutual exclusion specifications are represented by inequalities that are also linear in Min-Plus algebra. Computed laws are modeled by control places which are connected to the initial NTEGs in order to prevent the violation of mutual exclusion constraints.(c) 2021 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：270 / 276
页数：7
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