Analysis and control of max-plus linear discrete-event systems
An introduction
Bart De Schutter (TU Delft - Team Bart De Schutter, TU Delft - Delft Center for Systems and Control)
Ton van den Boom (TU Delft - Team Bart De Schutter)
Jia Xu (TU Delft - Team Bart De Schutter)
Samira Safaei Farahani (TU Delft - Energy and Industry)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
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.
help_outline