Control of max-plus linear systems using feedback cycle shaping

被引：0
|
作者：
Goncalves, Vinicius Mariano [1 ]
Krishnamurthy, Prashanth [1 ,3 ]
Tzes, Anthony [1 ,2 ]
Khorrami, Farshad [1 ,3 ]
机构：
[1] New York Univ Abu Dhabi, Ctr Artificial Intelligence & Robot CAIR, Abu Dhabi, U Arab Emirates
[2] New York Univ Abu Dhabi, Elect Engn, Abu Dhabi 129188, U Arab Emirates
[3] NYU, Elect & Comp Engn Dept, Brooklyn, NY 11201 USA
来源：
AUTOMATICA | 2025年 / 171卷
关键词：
TIMED EVENT GRAPHS;
D O I：
10.1016/j.automatica.2024.111980
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For "Timed Event Graphs", linear equations can be written in the max-plus algebra that describe the firing dynamics. In some cases, independent events/inputs can be used to influence the system dynamics in order to achieve a desired specification. In this setting, significant attention has been devoted to the mathematical development of controllers that achieve these desired specifications. In this article, a methodology is provided for solving a max-plus linear control problem as an extension of the result in Gonsalves et al. (2017). A condition is provided that induces into the system a periodic behavior in steady state and also shapes the response to comply with the specifications. Furthermore, the controller's causality is addressed. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Cycle time of stochastic max-plus linear systems
    Merlet, Glen
    ELECTRONIC JOURNAL OF PROBABILITY, 2008, 13 : 322 - 340
  • [2] Control and State Estimation for max-plus Linear Systems
    Hardouin, Laurent
    Cottenceau, Bertrand
    Shang, Ying
    Raisch, Joerg
    FOUNDATIONS AND TRENDS IN SYSTEMS AND CONTROL, 2018, 6 (01): : 1 - 116
  • [3] On the model reference control for max-plus linear systems
    Maia, C. A.
    Hardouin, L.
    Santos-Mendes, R.
    Cottenceau, B.
    2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, : 7799 - 7803
  • [4] Some results on the feedback control of max-plus linear systems under state constrains
    Maia, C. A.
    Hardouin, L.
    Cury, J. E. R.
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 6992 - 6997
  • [5] Max-plus algebra and max-plus linear discrete event systems: An introduction
    De Schutter, Bart
    van den Boom, Ton
    WODES' 08: PROCEEDINGS OF THE 9TH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, 2008, : 36 - 42
  • [6] State feedback control via positive invariance for max-plus linear systems using T-algorithm
    Ahmane, Mourad
    Truffet, Laurent
    2006 IEEE CONFERENCE ON EMERGING TECHNOLOGIES & FACTORY AUTOMATION, VOLS 1 -3, 2006, : 979 - +
  • [7] On just in time control of switching max-plus linear systems
    Alsaba, Michel
    Lahaye, Sebastien
    Boimond, Jean-Louis
    ICINCO 2006: Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics: SIGNAL PROCESSING, SYSTEMS MODELING AND CONTROL, 2006, : 79 - 84
  • [8] Max-plus matrix method and cycle time assignability and feedback stabilizability for min-max-plus systems
    Tao, Yuegang
    Liu, Guo-Ping
    Mu, Xiaowu
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2013, 25 (02) : 197 - 229
  • [9] On the eigenstructure of a class of max-plus linear systems
    Lopes, G. A. D.
    Kersbergen, B.
    van den Boom, T.
    De Schutter, B.
    Babuska, R.
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 1823 - 1828
  • [10] Tropical Abstractions of Max-Plus Linear Systems
    Mufid, Muhammad Syifa'ul
    Adzkiya, Dieky
    Abate, Alessandro
    FORMAL MODELING AND ANALYSIS OF TIMED SYSTEMS, FORMATS 2018, 2018, 11022 : 271 - 287
12345