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Spatial Compensation of Boundary Disturbances by Boundary Actuators

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EN
Abstrakty
EN
In this paper we show how to find convenient boundary actuators, termed boundary efficient actuators, ensuring finite-time space compensation of any boundary disturbance. This is the so-called remediability problem. Then we study the relationship between this remediability notion and controllability by boundary actuators, and hence the relationship between boundary strategic and boundary efficient actuators. We also determine the set of boundary remediable disturbances, and for a boundary disturbance, we give the optimal control ensuring its compensation.
Twórcy
autor
  • Faculty of Sciences, University Hassan II Ain Chock, B.P.5366-Maârif Casablanca, Morocco
autor
  • Faculty of Sciences, University Hassan II Ain Chock, B.P.5366-Maârif Casablanca, Morocco
autor
  • Systems Theory Laboratory, University of Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, Cedex, France
Bibliografia
  • [1] Afifi L., Chafiai A. and El Jai A. (1998): Compensation spatiale en temps fini dans les systèmes distribués. - L.T.S. Université de Perpignan, Rapport Interne N 14/98.
  • [2] Afifi L., Chafiai A. and El Jai A. (1999): Regionally effcient and strategic actuators. - Int. J. Syst. Sci. (to appear).
  • [3] Afifi L., Chafiai A. and El Jai A. (2000): Remédiabilité régionale dans les systèmes distribués discrets. - Les cahiers de la recherche, Université Hassan II-Ain Chock, Morocco, Vol. II, No.1, pp. 71-91.
  • [4] Berrahmoune L. (1984): Localisation d'actionneurs pour la contrôlabilité de systèmes paraboliques et hyperboliques. Applications par dualité à la localisation de capteurs. - Ph.D. Thesis, Faculté des Sciences, Rabat, Morocco.
  • [5] Curtain R.F. and Pritchard A.J. (1978): Infinite Dimensional Linear Systems Theory. - Berlin: Springer.
  • [6] El Jai A. (1991): Distributed systems analysis via sensors and actuators. - Int. J. Sens. Actuat., Vol. 29, No. 1, pp. 1-11.
  • [7] El Jai A. and Pritchard A.J. (1988): Sensors and Actuators in Distributed Systems Analysis. - Paris: Wiley.
  • [8] Lions J.L. (1988): Contrôlabilité Exacte, Perturbations et Stabilisation des Systèmes Distribués. - Paris: Masson.
  • [9] Lions J.L. and Magenes E. (1968): Problèmes aux Limites non Homogènes et Applications. - Paris: Dunod.
  • [10] Malabre M. and Rabah R. (1993): Structure at infinity, model matching and disturbance rejection for linear systems with delays. - Kybernetika, Vol. 29, No. 5, pp. 485-498.
  • [11] Necas J. (1967): Les méthodes directes en théorie des équations elliptiques. - Prague: Ed. Acad. Tchécoslovaque des Sciences.
  • [12] Otsuka N. (1991): Simultaneous decoupling and disturbance rejection problems for infinite dimensional systems. - IMA J. Math. Contr. Inf., Vol. 8, pp. 165-178.
  • [13] Pandolfi L. (1986): Disturbance decoupling and invariant subspaces for delay systems. - Appl. Math. Optim., Vol. 14, pp. 55-72.
  • [14] Rabah R. and Malabre M. (1997): A note on decoupling for linear infinite dimensional systems. - Proc. 4-th IFAC Conf. System Structure and Control, Bucharest, Romania, pp. 87-83.
  • [15] Senamel O., Rabah R. and Lafy J.F. (1995): Decoupling without prediction of linear systems with delays: A structural approach. - Syst. Contr. Lett., Vol. 25, pp. 387-395.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0012-0042
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