On the Steady-State Control of Timed Event Graphs With Firing Date Constraints

Vinicius Mariano Gonçalves; Carlos Andrey Maia; Laurent Hardouin

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On the Steady-State Control of Timed Event Graphs With Firing Date Constraints

机译：具有触发日期约束的定时事件图的稳态控制

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摘要

Two algorithms for solving a specific class of steady-state control problems for Timed Event Graphs are presented. In the first, asymptotic convergence to the desired set is guaranteed. The second algorithm, which builds on from the recent developments in the spectral theory of min-max functions, guarantees Lyapunov stability since the distance between the actual state and the desired set never increases. Simulation results show the efficiency of the proposed approach in a problem of moderate complexity.

机译：提出了两种解决定时事件图特定类别的稳态控制问题的算法。首先，保证渐近收敛到期望的集合。第二种算法建立在最小-最大函数谱理论的最新发展基础上，可保证Lyapunov稳定性，因为实际状态与所需集合之间的距离不会增加。仿真结果表明了该方法在中等复杂度问题上的有效性。

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来源
《IEEE Transactions on Automatic Control》 |2016年第8期|2187-2202|共16页
作者
Vinicius Mariano Gonçalves; Carlos Andrey Maia; Laurent Hardouin;
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作者单位

Programa de Pós Graduação de Engenharia Elétrica, Universidade Federal de Minas Gerais (UFMG), Brazil;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Geometrical invariance; Lyapunov stability; Petri nets; max-plus algebra; steady-state control; timed event graphs;

机译：几何不变性;Lyapunov稳定性;Petri网;最大正代数;稳态控制;定时事件图;

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专利

1. On just-in-time control of timed event graphs with input constraints: a semimodule approach [J] . da Silva Guilherme Gomes, Maia Carlos Andrey Discrete event dynamic systems: Theory and applications . 2016,第2期

机译：具有输入约束的定时事件图的即时控制：一种半模块方法
2. Min-Plus realizable control design for partially observable timed event graphs under marking constraints [J] . Tebani Karima, Amari Said European Journal of Control . 2021,第Jana期

机译：MIN-Plus可实现的控制设计，用于在标记约束下部分可观察的定时事件图表
3. Max-Plus Control Design for Temporal Constraints Meeting in Timed Event Graphs [J] . Amari S., Demongodin I., Loiseau J. J., Automatic Control, IEEE Transactions on . 2012,第2期

机译：时序事件图中时间约束满足的Max-Plus控制设计
4. DESIGN OF MAX-PLUS CONTROL LAWS TO MEET TEMPORAL CONSTRAINTS IN TIMED EVENT GRAPHS [C] . Said Amari, Jean Jacques Loiseau, Claude Martinez, International Conference on Informatics in Control, Automation and Robotics . 2006

机译：MAX-Plus控制定律设计，以满足定时事件图中的时间限制
5. The control of real-time discrete-event systems subject to predicate-based constraints. [D] . Ho, Tan-Jan. 1997

机译：实时离散事件系统的控制受基于谓词的约束。
6. On the Entropy of Events under Eventually Global Inflated or Deflated Probability Constraints. Application to the Supervision of Epidemic Models under Vaccination Controls [O] . Manuel De la Sen, Asier Ibeas, Raul Nistal 2020

机译：在最终全球膨胀或偏转概率约束下的事件熵。在疫苗接种控制下申请监督疫情模型
7. On the Steady State Control of Timed Event Graphs with Firing Date Constraints [O] . V.M. Gonçalves, C.A. Maia, L. Hardouin 2016

机译：具有射击约束的定时事件图的稳态控制

On the Steady-State Control of Timed Event Graphs With Firing Date Constraints

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