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Model Decomposition of Weight-Balanced Timed Event Graphs in Dioids: Application to Control Synthesis

Abstract : For Timed Event Graphs (TEGs), model reference control is a well known approach to stabilize and to improve the performance of a system. This method is based on dioid and residuation theory. In this work, we study model reference control for the class of single-input and single-output (SISO) Weight-Balanced Timed Event Graphs (WBTEGs), which is an extension of TEGs and exhibits event-variant behavior. By modeling the behavior of WBTEGs in a dioid structure, we propose a decomposition of the dynamic behavior into an event-variant and an event-invariant part. We further show that the event-variant part is invertible, hence the problem of model reference control for WBTEGs can be reduced to the case of conventional TEGs.
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https://hal.univ-angers.fr/hal-02515362
Contributeur : Marie-Françoise Gerard <>
Soumis le : lundi 23 mars 2020 - 15:05:02
Dernière modification le : vendredi 27 mars 2020 - 14:00:57

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Johannes Trunk, Bertrand Cottenceau, Laurent Hardouin, Jörg Raisch. Model Decomposition of Weight-Balanced Timed Event Graphs in Dioids: Application to Control Synthesis. IFAC-PapersOnLine, Elsevier, 2017, 50 (1), pp.13453-13460. ⟨10.1016/j.ifacol.2017.08.2309⟩. ⟨hal-02515362⟩

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