Modelling and control of periodic time-variant event graphs in dioids
| Autor: | Bertrand Cottenceau, Laurent Hardouin, Joerg Raisch, Johannes Trunk |
|---|---|
| Přispěvatelé: | Laboratoire Angevin de Recherche en Ingénierie des Systèmes (LARIS), Université d'Angers (UA), Technische Universität Berlin (TU), Technische Universität Berlin (TUB) |
| Rok vydání: | 2020 |
| Předmět: |
030213 general clinical medicine
0209 industrial biotechnology Schedule Series (mathematics) Formal power series Basis (linear algebra) Computer science Linear system 02 engineering and technology Topology LTI system theory [SPI]Engineering Sciences [physics] 03 medical and health sciences 020901 industrial engineering & automation 0302 clinical medicine Control and Systems Engineering Control theory Modeling and Simulation Electrical and Electronic Engineering ComputingMilieux_MISCELLANEOUS Event (probability theory) |
| Zdroj: | Discrete Event Dynamic Systems Discrete Event Dynamic Systems, Springer Verlag, 2020, ⟨10.1007/s10626-019-00304-x⟩ Discrete Event Dynamic Systems, Springer Verlag, In press |
| ISSN: | 1573-7594 0924-6703 |
| DOI: | 10.1007/s10626-019-00304-x |
| Popis: | Timed Event Graphs (TEGs) can be described by time invariant (max,+) linear systems. This formalism has been studied for modelling, analysis and control synthesis for decision-free timed Discrete Event Systems (DESs), for instance specific manufacturing processes or transportation networks operating under a given logical schedule. However, many applications exhibit time-variant behaviour, which cannot be modelled in a standard TEG framework. In this paper we extend the class of TEGs in order to include certain periodic time-variant behaviours. This extended class of TEGs is called Periodic Time-variant Event Graphs (PTEGs). It is shown that the input-output behaviour of these systems can be described by means of ultimately periodic series in a dioid of formal power series. These series represent transfer functions of PTEGs and are a convenient basis for performance analysis and controller synthesis. |
| Databáze: | OpenAIRE |
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