DESIGN OF MAX-PLUS CONTROL LAWS TO MEET TEMPORAL CONSTRAINTS IN TIMED EVENT GRAPHS

Saïd Amari, Jean Jacques Loiseau, Claude Martinez, Isabel Demongodin

2006

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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in Harvard Style

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 3: ICINCO, ISBN 978-972-8865-61-0, pages 91-98. DOI: 10.5220/0001214700910098

in Bibtex Style

@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 3: ICINCO,},
year={2006},
pages={91-98},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001214700910098},
isbn={978-972-8865-61-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - DESIGN OF MAX-PLUS CONTROL LAWS TO MEET TEMPORAL CONSTRAINTS IN TIMED EVENT GRAPHS
SN - 978-972-8865-61-0
AU - Amari S.
AU - Jacques Loiseau J.
AU - Martinez C.
AU - Demongodin I.
PY - 2006
SP - 91
EP - 98
DO - 10.5220/0001214700910098