On timed event graph stabilization by output feedback in dioid

B. Cottenceau; Mehdi Lhommeau; Laurent Hardouin; Jean-Louis Boimond

Kybernetika (2003)

  • Volume: 39, Issue: 2, page [165]-176
  • ISSN: 0023-5954

Abstract

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This paper deals with output feedback synthesis for Timed Event Graphs (TEG) in dioid algebra. The feedback synthesis is done in order to (1) stabilize a TEG without decreasing its original production rate, (2) optimize the initial marking of the feedback, (3) delay as much as possible the tokens input.

How to cite

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Cottenceau, B., et al. "On timed event graph stabilization by output feedback in dioid." Kybernetika 39.2 (2003): [165]-176. <http://eudml.org/doc/33632>.

@article{Cottenceau2003,
abstract = {This paper deals with output feedback synthesis for Timed Event Graphs (TEG) in dioid algebra. The feedback synthesis is done in order to (1) stabilize a TEG without decreasing its original production rate, (2) optimize the initial marking of the feedback, (3) delay as much as possible the tokens input.},
author = {Cottenceau, B., Lhommeau, Mehdi, Hardouin, Laurent, Boimond, Jean-Louis},
journal = {Kybernetika},
keywords = {Time Event Graphs; max-plusalgebra; feedback synthesis; timed event graph; max-plus algebra; feedback synthesis},
language = {eng},
number = {2},
pages = {[165]-176},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On timed event graph stabilization by output feedback in dioid},
url = {http://eudml.org/doc/33632},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Cottenceau, B.
AU - Lhommeau, Mehdi
AU - Hardouin, Laurent
AU - Boimond, Jean-Louis
TI - On timed event graph stabilization by output feedback in dioid
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 2
SP - [165]
EP - 176
AB - This paper deals with output feedback synthesis for Timed Event Graphs (TEG) in dioid algebra. The feedback synthesis is done in order to (1) stabilize a TEG without decreasing its original production rate, (2) optimize the initial marking of the feedback, (3) delay as much as possible the tokens input.
LA - eng
KW - Time Event Graphs; max-plusalgebra; feedback synthesis; timed event graph; max-plus algebra; feedback synthesis
UR - http://eudml.org/doc/33632
ER -

References

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  1. Baccelli F., Cohen G., Olsder G. J., Quadrat J. P., Synchronization and Linearity: An Algebra for Discrete Event Systems, Wiley, New York 1992 Zbl0824.93003MR1204266
  2. Blyth T. S., Janowitz M. F., Residuation Theory, Pergamon Press, Oxford 1972 Zbl0301.06001MR0396359
  3. Cohen G., Moller P., Quadrat J. P., Viot M., Linear system theory for discrete-event systems, In: Proc. 23rd IEEE Conference on Decision and Control, Las Vegas 1984 
  4. Cohen G., Moller P., Quadrat J. P., Viot M., Algebraic tools for the performance evaluation of discrete event systems, IEEE Proceedings: Special Issue on Discrete Event Systems 77 (1989), 1, 39–58 (1989) 
  5. Commault C., 10.1109/9.720498, IEEE Trans. Automat. Control 43 (1998), 10, 1419–1423 (1998) Zbl0956.93041MR1646723DOI10.1109/9.720498
  6. Cottenceau B., Contribution à la commande de systèmes à événements discrets: synthèse de correcteurs pour les graphes d’événements temporisés dans les dioïdes, Ph.D. Thesis (in French). ISTIA, Université d’Angers 1999 
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  8. Gaubert S., Théorie des systèmes linéaires dans les dioïdes, Ph.D. Thesis (in French). Ecole des Mines de Paris, Paris 1992 
  9. Gaubert S., 10.1109/9.471219, IEEE Trans. Automat. Control 40 (1992), 11, 1931–1934 (1992) MR1358012DOI10.1109/9.471219
  10. series, Software tools for manipulating periodic, http:--www, istia.univ-angers.fr/hardouin/outils.html 
  11. Plus, Max, Second order theory of min-linear systems and its application to discrete event systems, In: Proc. 30th IEEE Conference on Decision and Control, Brighton 1991 

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