Regional Observation and Sensors

Abdelhaq El Jai; Houria Hamzaoui

doi:10.2478/v10006-009-0001-y

.blurhash-client-img { display: none !important; }

Regional Observation and Sensors

International Journal of Applied Mathematics and Computer Science

Volume 19 (2009): Issue 1 (March 2009)

By: Abdelhaq El Jai and Houria Hamzaoui

Open Access

|Apr 2009

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.

References

Afifi, L., El Jai, A. and Zerrik, E. (2008). Analyse régionale des systèmes distribués linéaires, Presses Universitaires de Perpignan, Perpignan.
Search in Google Scholar
Amouroux, M., El Jai, A. and Zerrik, E. (1994). Regional observability of distributed systems, International Journal of Systems Science 25(2): 301-313.10.1080/00207729408928961
Search in Google Scholar
Curtain, R.F. and Pritchard, A.J. (1978). Infinite Dimensional Linear Systems Theory, Springer, Berlin.10.1007/BFb0006761
Search in Google Scholar
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.
Search in Google Scholar
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.
Search in Google Scholar
El Jai, A. and Hamzaoui, H. (2008). On actuators number in distributed systems, Sensors and Actuators (SNA6267) (A 147): 273-278.10.1016/j.sna.2008.04.014
Search in Google Scholar
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.10.1007/BFb0004970
Search in Google Scholar
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.
Search in Google Scholar
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): 1351-1365.10.1080/00207179508921603
Search in Google Scholar
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): 518-521.10.1109/9.376073
Search in Google Scholar
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.
Search in Google Scholar
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).
Search in Google Scholar