Structural Controllability of Switching Max-Plus Linear Systems
A. Gupta (TU Delft - Team Bart De Schutter)
A.J.J. Van Den Boom (TU Delft - Team Bart De Schutter)
JW van der Woude (TU Delft - Mathematical Physics)
B De Schutter (TU Delft - Team Bart De Schutter)
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
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.
help_outline