Analysis and control of max-plus linear discrete-event systems: An introduction

被引：0
|
作者：
Bart De Schutter
Ton van den Boom
Jia Xu
Samira S. Farahani
机构：
[1] Delft University of Technology,Delft Center for Systems and Control
[2] Delft University of Technology,Engineering Systems and Services
来源：
Discrete Event Dynamic Systems | 2020年 / 30卷
关键词：
Max-plus linear systems; Max-plus algebra; Analysis of discrete-event systems; Model-based control of max-plus linear systems; Residuation-based control; Model predictive control; Survey;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The objective of this paper is to provide a concise introduction to the max-plus algebra and to max-plus linear discrete-event systems. We present the basic concepts of the max-plus algebra and explain how it can be used to model a specific class of discrete-event systems with synchronization but no concurrency. Such systems are called max-plus linear discrete-event systems because they can be described by a model that is “linear” in the max-plus algebra. We discuss some key properties of the max-plus algebra and indicate how these properties can be used to analyze the behavior of max-plus linear discrete-event systems. Next, some control approaches for max-plus linear discrete-event systems, including residuation-based control and model predictive control, are presented briefly. Finally, we discuss some extensions of the max-plus algebra and of max-plus linear systems.
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页码：25 / 54
页数：29
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