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

Ton van den Boom, Abhimanyu Gupta, Bart De Schutter, Ruby Beek

Research output: Contribution to journalConference articleScientificpeer-review

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In this paper we discuss modelling and control of discrete-event systems using max-min-plus-scaling systems. We analyse how the basic operations max, min, plus, and scaling occur in the modelling 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 modelling and control.

Original languageEnglish
Pages (from-to)7906-7911
Number of pages6
Issue number2
Publication statusPublished - 2023
Event22nd IFAC World Congress - Yokohama, Japan
Duration: 9 Jul 202314 Jul 2023


  • control
  • Discrete event system
  • max-min-plus-scaling systems
  • modeling


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