Spatial compensation of boundary disturbances by boundary actuators

Larbi Afifi; Abdelhakim Chafiai; Abdelhaq El Jai

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 4, page 899-920
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Afifi, Larbi, Chafiai, Abdelhakim, and El Jai, Abdelhaq. "Spatial compensation of boundary disturbances by boundary actuators." International Journal of Applied Mathematics and Computer Science 11.4 (2001): 899-920. <http://eudml.org/doc/207537>.

@article{Afifi2001,
abstract = {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.},
author = {Afifi, Larbi, Chafiai, Abdelhakim, El Jai, Abdelhaq},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {distributed-parameter systems; sensors; controllability; actuators; remediability; boundary actuators; optimal control},
language = {eng},
number = {4},
pages = {899-920},
title = {Spatial compensation of boundary disturbances by boundary actuators},
url = {http://eudml.org/doc/207537},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Afifi, Larbi
AU - Chafiai, Abdelhakim
AU - El Jai, Abdelhaq
TI - Spatial compensation of boundary disturbances by boundary actuators
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 4
SP - 899
EP - 920
AB - 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.
LA - eng
KW - distributed-parameter systems; sensors; controllability; actuators; remediability; boundary actuators; optimal control
UR - http://eudml.org/doc/207537
ER -

References

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  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 efficient and strategic actuators. — Int. J. Syst. Sci. (to appear). Zbl1013.93029
  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 a la localisation de capteurs. — Ph.D. Thesis, Faculté des Sciences, Rabat, Morocco. 
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  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. Zbl0637.93001
  8. Lions J.L. (1988): Contrôlabilité Exacte, Perturbations et Stabilisation des Systèmes Distribués. — Paris: Masson. Zbl0653.93002
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  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. Zbl0805.93008
  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. Zbl0759.93019
  13. Pandolfi L. (1986): Disturbance decoupling and invariant subspaces for delay systems. — Appl. Math. Optim., Vol.14, pp.55–72. Zbl0587.93039
  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. 

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