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Authors: Saïd Amari 1 ; Jean Jacques Loiseau 1 ; Claude Martinez 1 and Isabel Demongodin 2

Affiliations: 1 IRCCyN, UMR CNRS 6597, France ; 2 LISA, France

Keyword(s): Timed Event graph, Max-Plus algebra, Temporal constraints, Control.

Related Ontology Subjects/Areas/Topics: Discrete Event Systems ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: The aim of the work presented is the control of timed event graph in order to meet tight temporal constraints. The temporal constraint represents the maximal duration of a chemical or thermal treatment, for instance. We formulate the problem in terms of control of linear Max-Plus models. A method for the synthesis of a control law ensuring the meeting of constraints is first described for a single input single constraint. Then, the single input multi constraint problem is tackled and finally, the method is extended to the multi inputs, multi constraints problem. The proposed method is illustrated on an example.

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Paper citation in several formats:
Amari, S.; Jacques Loiseau, J.; Martinez, C. and Demongodin, I. (2006). DESIGN OF MAX-PLUS CONTROL LAWS TO MEET TEMPORAL CONSTRAINTS IN TIMED EVENT GRAPHS. In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-972-8865-61-0; ISSN 2184-2809, SciTePress, pages 91-98. DOI: 10.5220/0001214700910098

@conference{icinco06,
author={Saïd Amari. and Jean {Jacques Loiseau}. and Claude Martinez. and Isabel Demongodin.},
title={DESIGN OF MAX-PLUS CONTROL LAWS TO MEET TEMPORAL CONSTRAINTS IN TIMED EVENT GRAPHS},
booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2006},
pages={91-98},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001214700910098},
isbn={978-972-8865-61-0},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - DESIGN OF MAX-PLUS CONTROL LAWS TO MEET TEMPORAL CONSTRAINTS IN TIMED EVENT GRAPHS
SN - 978-972-8865-61-0
IS - 2184-2809
AU - Amari, S.
AU - Jacques Loiseau, J.
AU - Martinez, C.
AU - Demongodin, I.
PY - 2006
SP - 91
EP - 98
DO - 10.5220/0001214700910098
PB - SciTePress