Control of (max,+)-linear systems minimizing delays

Authors:
Laurent Houssin;Sébastien Lahaye;Jean-Louis Boimond
Affiliations:
CNRS LAAS, Toulouse, France 31077 and UPS, LAAS, Université de Toulouse,, Toulouse, France 31400;Laboratoire d'Ingénierie des Systèmes Automatisés (LISA), Université d'Angers, Angers, France 49000;Laboratoire d'Ingénierie des Systèmes Automatisés (LISA), Université d'Angers, Angers, France 49000
Venue:
Discrete Event Dynamic Systems
Year:
2013

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Abstract

In this paper, we develop a new control technique for discrete event dynamic systems subject to synchronization phenomena. We propose a feedback controller for (max,驴+驴)-linear systems which delays input events as little as possible while constraints on internal or output events are satisfied. The synthesis is mainly based on new results about fixed points of antitone (i.e., order reversing) mappings.