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

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 , + )-linear systems which delays input events as little as possible while constraints on internal or output events are satisfied. The...

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Bibliographic Details
Published in:Discrete event dynamic systems 2013-09, Vol.23 (3), p.261-276
Main Authors: Houssin, Laurent, Lahaye, Sébastien, Boimond, Jean-Louis
Format: Article
Language:English
Subjects:
Control
Convex and Discrete Geometry
Electrical Engineering
Machines
Manufacturing
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Processes
Systems Theory
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Summary: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 , + )-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.
ISSN:0924-6703
1573-7594
DOI:10.1007/s10626-012-0143-1