Structural Controllability of Switching Max-Plus Linear Systems

Journal article (2020)

Authors

A. Gupta Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
A.J.J. van den Boom Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
J.W. van der Woude Mathematical Physics - EEMCS
B.H.K. De Schutter Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Research Group
Team Bart De Schutter (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2020 A. Gupta, A.J.J. van den Boom, J.W. van der Woude, B.H.K. De Schutter
DOI: https://doi.org/10.1016/j.ifacol.2020.12.2587
Controllability Structural properties Switching Max-plus linear systems Discrete event systems
More Info
expand_more

Published Date

2020

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Bart De Schutter

Abstract

We introduce a framework for studying controllability properties of discrete-event systems modelled as switching max-plus linear systems. In this framework, we generalise the notion of structural controllability to include the switching phenomenon. Such models provide an additional discrete input to change the synchronisation and/or ordering constraints of the system. In this paper, we solve the problem of assigning the throughput of the system by suitable controller configurations. In particular, we formulate structural conditions for the existence of controllers achieving stable stationary behaviour. We also classify the achievable throughput under different controller configurations.