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Gradient Observability for Diffusion Systems

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm illustrated by simulations.
Rocznik
Strony
139--150
Opis fizyczny
Bibliogr. 13 poz., rys., tab., wykr.
Twórcy
autor
  • MACS Group, AFACS UFR, Moulay Ismail University, Faculty of Sciences, Meknes, Morocco
autor
  • MACS Group, AFACS UFR, Moulay Ismail University, Faculty of Sciences, Meknes, Morocco
Bibliografia
  • [1] Curtain R.F. and Zwart H. (1995): An Introduction to Infinite Dimensional Linear Systems Theory. — New York: Springer–Verlag.
  • [2] Curtain R.F. and Pritchard A.J. (1978): Infinite Dimensional Linear Systems Theory.—New York: Springer.
  • [3] Cuniasse-Langhans L. (1998): Evaluation par méthode inverse de la distribution des transferts de chaleur pariétaux le long d’une plaque verticale en convection naturelle. — Ph.D. thesis, LETHEM INSA, Toulouse.
  • [4] El Jai A. and Pritchard A.J. (1988): Sensors and Actuators in the Analysis of Distributed Systems. — New York: Wiley.
  • [5] El Jai A. and El Yacoubi S. (1993): On the number of actuators in a parabolic system. — Appl. Math. Comp. Sci., Vol. 3, No. 4, pp. 673–686.
  • [6] El Jai A., Simon M.C. and Zerrik E. (1993): Regional observability and sensor structures. — Int. J. Sens. Actuat., Vol. 39, No. 2, pp. 95–102.
  • [7] El Jai A., Amouroux M. and Zerrik E. (1994): Regional observability of distributed systems. — Int. J. Syst. Sci., Vol. 25, No. 2, pp. 301–313.
  • [8] Lions J.L. (1988): Contrôlabilité Exacte. — Paris: Masson.
  • [9] Lions J.L. and Magenes E. (1968): Problemes aux Limites non Homogènes et Applications. — Paris: Dunod.
  • [10] Sparrow E.M. (1963): On the calculation of radiant interchange between surfaces, In: Modern Developments in Heat Transfert (W. Ibele, Ed.). — New-York: Academic Press, pp. 181–212.
  • [11] Zerrik E. (1993): Regional analysis of distributed parameter systems. — Ph.D. thesis, University MedV , Rabat, Morocco.
  • [12] Zerrik E., Badraoui L. and El Jai A. (1999): Sensors and regional boundary state reconstruction of parabolic systems. — Sens. Actuat. J., Vol. 75, pp. 102–117.
  • [13] Zerrik E., Boutoulout A. and Kamal A. (1999): Regional gradient controllability for parabolic systems. — Int. J. Appl. Math. Comp. Sci., Vol. 9, No. 4, pp. 767–787.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0002-0012
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