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

doi:10.1016/j.ifacol.2023.10.027

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 journal › Conference article › Scientific › peer-review

2 Citations (Scopus)

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Abstract

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 language	English
Pages (from-to)	7906-7911
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	56
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.027
Publication status	Published - 2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 9 Jul 2023 → 14 Jul 2023

Keywords

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

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10.1016/j.ifacol.2023.10.027

1-s2.0-S2405896323003658-mainFinal published version, 607 KBLicence: CC BY-NC-ND

Cite this

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abstract = "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.",

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AB - 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.

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

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