Max-Min-Plus-Scaling Systems in a Discrete-Event Framework with an Application in Urban Railway

Reference

T. van den Boom, A. Gupta, B. De Schutter, and R. Beek, "Max-min-plus-scaling systems in a discrete-event framework with an application in urban railway," Proceedings of the 22nd IFAC World Congress, Yokohama, Japan, pp. 7906-7911, July 2023.

Abstract

In this paper we discuss modeling and control of discrete-event systems using max-min-plus-scaling systems. We analyze how the basic operations max, min, plus, and scaling occur in the modeling phase and we discuss some general forms for the system. Because of the different/deviating character of the signals in a discrete-event MMPS model, we will discuss concepts such as time-invariance and steady-state behavior. In the design of a model predictive controller for MMPS systems we have to revisit the cost functions in light of the discrete-event nature of the signals. We finalize this paper with the an intuitive case study on an urban railway line, performing both modeling and control.

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BibTeX

@inproceedings{vanGup:23-021,
   author    = {van den Boom, Ton and Gupta, Abhimanyu and De Schutter, Bart
                and Beek, Ruby},
   title     = {Max-Min-Plus-Scaling Systems in a Discrete-Event Framework with
                an Application in Urban Railway},
   booktitle = {Proceedings of the 22nd IFAC World Congress},
   address   = {Yokohama, Japan},
   pages     = {7906--7911},
   month     = jul,
   year      = {2023}
   }

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