Tracking control of a vibrating string with an interior mass viewed as delay system

H. Mounier; J. Rudolph; M. Fliess; P. Rouchon

ESAIM: Control, Optimisation and Calculus of Variations (1998)

  • Volume: 3, page 315-321
  • ISSN: 1292-8119

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Mounier, H., et al. "Tracking control of a vibrating string with an interior mass viewed as delay system." ESAIM: Control, Optimisation and Calculus of Variations 3 (1998): 315-321. <http://eudml.org/doc/90526>.

@article{Mounier1998,
author = {Mounier, H., Rudolph, J., Fliess, M., Rouchon, P.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {wave equation; trajectory tracking problem},
language = {eng},
pages = {315-321},
publisher = {EDP Sciences},
title = {Tracking control of a vibrating string with an interior mass viewed as delay system},
url = {http://eudml.org/doc/90526},
volume = {3},
year = {1998},
}

TY - JOUR
AU - Mounier, H.
AU - Rudolph, J.
AU - Fliess, M.
AU - Rouchon, P.
TI - Tracking control of a vibrating string with an interior mass viewed as delay system
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1998
PB - EDP Sciences
VL - 3
SP - 315
EP - 321
LA - eng
KW - wave equation; trajectory tracking problem
UR - http://eudml.org/doc/90526
ER -

References

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  1. [1] K.L. Cooke, D.W. Krumme: Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations, J. Math. Anal. Appl., 24, 1968, 372-387. Zbl0186.16902MR232089
  2. [2] M. Fliess, J. Levine, P. Martin, P. Rouchon: Flatness and defect of nonlinear systems: introductory theory and examples, Internat. J. Control, 61, 1995, 1327-1361. Zbl0838.93022MR1613557
  3. [3] M. Fliess, H. Mounier: Controllability and observability of linear delay systems: an algebraic approach, ESAIM: Control Optimisation and Calculus of Variations, http://www.emath.fr/cocv/, 3, 1998, 301-314. Zbl0908.93013MR1644427
  4. [4] M. Fliess, H. Mounier, P. Rouchon, J. Rudolph: Controllability and motion planning for linear delay systems with an application to a flexible rod, In 34th Conf. Decision Contr. Proc., New Orleans, Lousiana, 1995, 2046-2051. 
  5. [5] M. Fliess, H. Mounier, P. Rouchon, J. Rudolph: Systèmes linéaires sur les opérateurs de Mikusiński, ESAIM: Proceedings, http://www.emath.fr/proc/, 2, 1997, 183-193. Zbl0898.93018MR1486080
  6. [6] S. Hansen, E. Zuazua: Exact controllability and stabilization of a vibrating string with an interior point mass, SIAM J. Contr. Opt., 33, 1995, 1357-1391. Zbl0853.93018MR1348113
  7. [7] J.L. Lions: Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, 1, Masson, Paris, 1988. 
  8. [8] J.L. Lions: Exact controlability, stabilization and perturbations for distributed systems, SIAM Rev., 30, 1988, 1-68. Zbl0644.49028MR931277
  9. [9] H. Mounier: Propriétés structurelles des systèmes linéaires à retards: aspects théoriques et pratiques, Thèse, Université Paris-Sud, Orsay, 1995. 
  10. [10] H. Mounier: Algebraic interpretations of the spectral controllability of a linear delay system, Forum Math., 10, 1998, 39-58. Zbl0891.93014MR1490137
  11. [11] H. Mounier, P. Rouchon, J. Rudolph: Some examples of linear systems with delay, RAIRO-APII-JESA, 31, 1997, 911-925. 
  12. [12] H. Mounier, J. Rudolph, M. Petitot, M. Fliess: A flexible rod as a linear delay system, In European Control Conference Proc., Rome, 1995, 3676-3681. 
  13. [13] D.L. Russel: Controllability and stabilizability theory for partial differential equations, recent progress and open question, SIAM Rev., 20, 1978, 639-739. Zbl0397.93001MR508380

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