Control laws synthesis for timed event graphs subject to generalised marking constraints by Min-Plus algebra: application to cluster tools

被引：3

作者：

Rajah, J. ^{[1
]}

Tebani, K. ^{[2
]}

Amari, S. ^{[3
]}

Barkallah, M. ^{[1
]}

Haddar, M. ^{[1
]}

机构：

[1] Natl Engn Sch Sfax, LA2MP, Mech Engn, Sfax, Tunisia

[2] Univ Paris Nanterre, Paris Lumiere, LEME, Nanterre, France

[3] Univ Sorbonne Paris Nord, LURPA, ENS Paris Saclay, Villetaneuse, France

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2024年 / 97卷 / 05期

关键词：

Discrete event dynamic systems; timed event graphs; Min-Plus algebra; generalized marking constraints; control laws; FEEDBACK-CONTROL; PETRI NETS; SUPERVISION; SPACES; GMECS;

D O I：

10.1080/00207179.2023.2183344

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper discusses the problem of control laws for Discrete Event Dynamic Systems (DEDSs) represented by Timed Event Graphs (TEGs) under Generalized Marking Constraints (GMCs). The behaviour of TEGs is described using linear equations while GMCs are expressed by weighted inequalities in Min-Plus algebra. We formulate the problem in terms of control linear Min-Plus models. Hence, an algebraic method to calculate control laws ensuring the respect of GMCs is suggested. And once sufficient conditions are satisfied, we propose casual feedbacks to guarantee these marking specifications. Besides, the proposed control strategy is applied to a dual-armed cluster tool, a well-known industrial application.

引用

页码：957 / 969

页数：13