Skip to main content

Affine realizations of multimodels characterization, stability, identification

  • IV-Stability, Robustness And Singular Perturbations Technigues Robustness And Singular Perturbations Techniques
  • Conference paper
  • First Online:
  • 240 Accesses

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 122))

Abstract

Knowing a set of linear models indexed by an independent parameter — a multimodel — there exists an infinite class of state-affine models compatible with this multimodel — the realizations of the multimodel. The set of the realizations of a given multimodel is characterized. Stability properties are studied as well as the identification problem.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. GAUTHIER J.P., BORNARD G.: "Global realization of input-output mappings", SIAM J. of Control and optimization, Vol. 24, No 3, May 1986, pp. 509–521.

    Google Scholar 

  2. KALMAN R.E., BELTRAM J.E.: "Control system analysis and design via the second method of Lyapunov-I continuous-time systems", Journal of Basic Engineering, Trans. of the ASME, June 1960, pp. 371–393.

    Google Scholar 

  3. LASALLE J., LEFSCHETZ S.: "Stability by Lyapunov's direct method with applications", Mathematics in Science and Engineering, Academic Press, New York, 1961.

    Google Scholar 

  4. MEIZEL D.: "Sur la synthèse paramétrique d'asservissements de processus non linéaires", Thèse d'état, Université de Lille, 21 sept. 1984.

    Google Scholar 

  5. MONNIER B.: "Contribution à la commande d'une classe de procédés dynamiques industriels dans de grands domaines de fonctionnement", Thèse D. Ing., INP Grenoble, 1977.

    Google Scholar 

  6. NEYRAN B.: "Identification et commande en temps discret des systèmes linéaires à paramètres variables en utilisant des modèles à état affine", Thèse Doct. INSA, Lyon, 8 juillet 1987.

    Google Scholar 

  7. NORMAND-CYROT D.: "Théorie et pratique de systèmes non linéaires en temps discret", Thèse d'état, Université de Paris Sud, mars 1983.

    Google Scholar 

  8. PONCET B.: "A new approach of nonlinear systems: homodynamic systems", IFAC Symposium on identification and system parameter estimation, Washington, June 1982, Vol. 1, pp. 80–86.

    Google Scholar 

  9. THOMASSET D.: "Réalisation et commande en temps discret des systèmes continus retardés linéaires invariants et des systèmes linéaires à paramètres variables", Thèse d'état, INSA, Université CB Lyon, B juillet 1987.

    Google Scholar 

  10. BORNARD G., HU L.P.: "Affine realizations of multimodels: characterization, stability, identification", Colloque International Automatique Non Linéaire, Nantes, juin 1988.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. Descusse Michel Fliess A. Isidori D. Leborgne

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Bornard, G., Hu, lP. (1989). Affine realizations of multimodels characterization, stability, identification. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043041

Download citation

  • DOI: https://doi.org/10.1007/BFb0043041

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51075-8

  • Online ISBN: 978-3-540-46143-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics