Synthesis of Greatest Linear Feedback for Timed Event Graphs in Dioid

Bertrand Cottenceau (1) , Laurent Hardouin (1) , Jean-Louis Boimond (1) , Jean-Louis Ferrier (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

This paper deals with the synthesis of greatest linear causal feedback for Discrete Event Systems whose behavior is described in dioid. Such a feedback delays as far as possible the input of the system while keeping the same transfer relation between the input and the output. When a feedback exists in the system, we show how to compute a greater one without decreasing the system's performance.

Mots clés: Discrete Event Systems; Dioid; Times Event Graphs; Feedback Synthesis; Kanban

Domaines: Sciences de l'ingénieur [physics]

Bertrand Cottenceau, Laurent Hardouin, Jean-Louis Boimond, Jean-Louis Ferrier. Synthesis of Greatest Linear Feedback for Timed Event Graphs in Dioid. IEEE Transactions on Automatic Control, 1999, 44 (6), pp.1258-1262. ⟨hal-00844533⟩