Regional boundary obsevability: A numerical approach

• Autorzy: Zerrik E. H. , Bourray H. , Boutoulout A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which is illustrated by simulations.

Słowa kluczowe

EN

observability; regional observability; regional boundary observability; boundary strategic sensors

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 2
• Strony: 143--151
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Zerrik E. H.

• MACS Group. AFACS UFR, Moulay Ismail University Sciences Faculty, Meknes, Morocco

autor

Bourray H.

• MACS Group. AFACS UFR, Moulay Ismail University Sciences Faculty, Meknes, Morocco

autor

Boutoulout A.

• MACS Group. AFACS UFR, Moulay Ismail University Sciences Faculty, Meknes, Morocco

Bibliografia

• [1] Amouroux M., El Jai A. and Zerrik E. (1994): Regional observability of distributed parameter systems. - Int. J. Syst. Sci., Vol. 25, No. 2, pp. 301-313.
• [2] Curtain R.F. and Zwart H. (1995): An Introduction to Infinite Dimensional Linear Systems Theory. - New York: Springer.
• [3] El Jai A. and Pritchard A.J. (1988): Sensors and Actuators in Distributed Systems Analysis. - New York: Wiley.
• [4] El Jai A., Simon M.C. and Zerrik E. (1993): Regional observability and sensors structures. - Int. J. Sens. Act., Vol. 39, No. 2, pp. 95-102.
• [5] El Jai A., Zerrik E., Simon M.C. and Amouroux M. (1995): Regional observability of a thermal process. - IEEE Trans. Automat. Contr., Vol. 40, No. 3, pp. 518-521.
• [6] Fattorini H.O. (1968): Boundary control systems. - SIAM J. Cont., Vol. 6, pp. 349-388.
• [7] Gilliam D., Li Z. and Martin C. (1988): Discrete observability of the heat equation on bounded domain. - Int. J. Contr., Vol. 48, No. 2, pp. 755-780.
• [8] Kobayashi T. (1980): Discrete-time observability for distributed parameter systems. - Int. J. Contr., Vol. 31, pp. 181-193.
• [9] Lions J.L. (1988): Controlabilité exacte. - Paris: Masson.
• [10] Michelitti A.M. (1976): Perturbazione dello spettro di un opertore ellitico di tipo variazionale, in relazione ad una variazione del compo. - Ricerche di matematica, V. XXV, Fasc II (in Italian).
• [11] Zerrik E., Badraoui L. and El Jai A. (1999): Sensors and regional boundary state reconstruction of parabolic systems. - Int. J. Sens. Act., Vol. 75, pp. 102-117.