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
收藏
页码：957 / 969
页数：13
相关论文
共 22 条
  • [1] Design of control laws for timed event graphs networks subject to mutual exclusion constraints in Min-Plus algebra
    Soumatia, Maroua
    Amari, Said
    European Journal of Control, 2022, 63 : 270 - 276
  • [2] Design of control laws for timed event graphs networks subject to mutual exclusion constraints in Min-Plus algebra
    Soumatia, Maroua
    Amari, Said
    EUROPEAN JOURNAL OF CONTROL, 2022, 63 : 270 - 276
  • [3] Control laws synthesis to satisfy generalized mutual exclusion constraints for timed event graphs networks using min-plus algebra
    Rajah, Jihene
    Amari, Said
    Barkallah, Maher
    Haddar, Mohamed
    INFORMATION SCIENCES, 2024, 660
  • [4] Min-Plus realizable control design for partially observable timed event graphs under marking constraints
    Tebani, Karima
    Amari, Said
    EUROPEAN JOURNAL OF CONTROL, 2021, 57 : 33 - 40
  • [5] Timed-event graphs with multipliers and homogeneous min-plus systems
    Cohen, G
    Gaubert, S
    Quadrat, JP
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (09) : 1296 - 1302
  • [6] Modeling and control of hybrid timed event graphs with multipliers using (min, plus) algebra
    Hamaci, S
    Boimond, JL
    Lahaye, S
    DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 2006, 16 (02): : 241 - 256
  • [7] On modeling and control of discrete timed event graphs with multipliers using (min, plus) algebra
    Hamaci, Samir
    Boimond, Jean-Louis
    Lahaye, Sebastien
    INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS I, 2006, : 211 - +
  • [8] Synthetizing State Feedback Control Laws for Discrete Event Systems with Constrained Paths Using Min-Plus Algebra
    Ben Afia, Nesrine
    Amari, Said
    STUDIES IN INFORMATICS AND CONTROL, 2021, 30 (01): : 39 - 52
  • [9] Performance analysis of timed event graphs with multipliers using (min, plus ) algebra
    Hamaci, Samir
    Boimond, Jean-Louis
    Lahaye, Sebastien
    INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS II, 2007, : 185 - +
  • [10] Design of Max-Plus control laws to meet temporal constraints in timed event graphs
    Amari, Said
    Loiseau, Jean Jacques
    Martinez, Claude
    Demongodin, Isabel
    ICINCO 2006: Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics: SIGNAL PROCESSING, SYSTEMS MODELING AND CONTROL, 2006, : 91 - 98
123