Control of max-plus linear systems using feedback cycle shaping

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2024-10-09 DOI:10.1016/j.automatica.2024.111980

Vinicius Mariano Gonçalves , Prashanth Krishnamurthy , Anthony Tzes , Farshad Khorrami

引用次数: 0

Abstract

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 Gonçalves 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.

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利用反馈周期整形控制最大加线性系统

对于 "定时事件图"，可以用 max-plus 代数编写线性方程来描述发射动态。在某些情况下，独立事件/输入可用于影响系统动态，以实现所需的规范。在这种情况下，人们将大量精力投入到实现这些期望规格的控制器的数学开发上。本文提供了一种求解最大加线性控制问题的方法，作为 Gonçalves 等人（2017 年）研究成果的扩展。本文提供了一种条件，它能使系统在稳态时具有周期性行为，并能使响应符合规范。此外，还解决了控制器的因果关系问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.