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

Laurent Houssin (1) , Sébastien Lahaye (1) , Jean-Louis Boimond (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

This paper deals with feedback controller synthesis for (max,+)-linear systems. We attempt to compute a feedback which ensures some given constraints while delaying as less as possible the system. The controller synthesis presented here is based on fixed points results of antitone mappings.

Domaines: Automatique; Recherche opérationnelle [math.OC]; Automatique / Robotique

Laurent Houssin, Sébastien Lahaye, Jean-Louis Boimond. Control of constrained \(max,+)-linear systems minimizing delays. INCOM, May 2006, Saint-Etienne, France. pp.303. ⟨hal-00366789⟩