Regional observation and sensors

Abdelhaq El Jai; Houria Hamzaoui

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 1, page 5-14
  • ISSN: 1641-876X

Abstract

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The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.

How to cite

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Abdelhaq El Jai, and Houria Hamzaoui. "Regional observation and sensors." International Journal of Applied Mathematics and Computer Science 19.1 (2009): 5-14. <http://eudml.org/doc/207922>.

@article{AbdelhaqElJai2009,
abstract = {The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.},
author = {Abdelhaq El Jai, Houria Hamzaoui},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {distributed parameter systems; sensors; observability; observation error},
language = {eng},
number = {1},
pages = {5-14},
title = {Regional observation and sensors},
url = {http://eudml.org/doc/207922},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Abdelhaq El Jai
AU - Houria Hamzaoui
TI - Regional observation and sensors
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 1
SP - 5
EP - 14
AB - The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.
LA - eng
KW - distributed parameter systems; sensors; observability; observation error
UR - http://eudml.org/doc/207922
ER -

References

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  1. Afifi, L., El Jai, A. and Zerrik, E. (2008). Analyse régionale des systèmes distribués linéaires, Presses Universitaires de Perpignan, Perpignan. 
  2. Amouroux, M., El Jai, A. and Zerrik, E. (1994). Regional observability of distributed systems, International Journal of Systems Science 25(2): 301-313. Zbl0812.93015
  3. Curtain, R. F. and Pritchard, A. J. (1978). Infinite Dimensional Linear Systems Theory, Springer, Berlin. Zbl0389.93001
  4. El Jai, A. (1977). Sur la commande avec estimation de l'état initial d'une classe de systèmes distribués, Rairo Systems Analysis 11(4): 3-34. 
  5. El Jai, A. and El Yacoubi, S. (1993). On the number of actuators in parabolic systems, International Journal of Applied Mathematics and Computer Science 3(4): 673-686. Zbl0802.93033
  6. El Jai, A. and Hamzaoui, H. (2008). On actuators number in distributed systems, Sensors and Actuators (SNA6267) (A 147): 273-278. 
  7. El Jai, A. and Najem, A. (1984). Optimal actuator location in a diffusion process, Lectures Notes in Control and Information Science 62, Springer-Verlag, Berlin. Zbl0545.49009
  8. El Jai, A. and Pritchard, A. J. (1988). Sensors and actuators in distributed systems analysis, Ellis Horwood Series in Applied Mathematics, J.Wiley & Sons, New York, NY. Zbl0637.93001
  9. El Jai, A., Pritchard, A.J., Simon, M.C. and Zerrik, E. (1995). Regional controllability of distributed parameter system, International Journal of Control 62(6): 1351-1365. Zbl0844.93016
  10. El Jai, A., Zerrik, E.H., Simon, M.C. and Amouroux, M. (1995). Regional observability of a thermal process, IEEE Transactions on Automatic Control 40(3): 518-521. Zbl0821.93016
  11. Korbicz, J. and Gawłowicz, P. (1990). Sensors location problem for stochastic non-linear discrete-time distributed parameter systems, Control of Distributed Parameter Systems, IFAC Symposia Series, Vol. 3, Pergamon Press, London, pp. 479-484. 
  12. Micheletti, A. M. (1976). Perturbazione dello spettro di un operatore ellitico di tipo variazionale, in relazione ad una variazione del campo, Ricerche di matematica. Fasc. II 25(Fasc. II). Zbl0355.35066

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