Authors:
Michel Alsaba
;
Sébastien Lahaye
and
Jean-Louis Boimond
Affiliation:
LISA, France
Keyword(s):
Discrete event systems, (max, +) algebra, switching max-plus linear systems, just in time control.
Related
Ontology
Subjects/Areas/Topics:
Discrete Event Systems
;
Informatics in Control, Automation and Robotics
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
Discrete event systems involving synchronization and delay phenomena can be described by a linear state representation over (max, +) algebra. Some discrete event systems involving choice phenomena could be transformed, under some conditions, into switching max-plus linear systems modeled as automata. The switching between states of these automata is governed by a switching variable. This paper deals with the just in time control of these switching max-plus linear systems. The control problem we propose is optimal under just in time criterion when the switching variable is given on the study horizon.