Skip to main content

Asymptotic State Estimation Using Observers in Dynamical and Control Systems

  • Chapter
Chaotic Dynamics

Part of the book series: NATO ASI Series ((NSSB,volume 298))

  • 185 Accesses

Abstract

In this paper I want to report on work done in collaboration with J.P. Gauthier and A. Hammouri in several publications. (see [GHK], [GK]).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Bestle, M. Zeitz, Canonical form design for nonlinear observers with linearizable error dynamics; Int. J. Control, 23, 1981, 419–423.

    Google Scholar 

  2. F. Deza, PhD. Thesis. INSA de Rouen, France, 1991.

    Google Scholar 

  3. W. Dayawanza, personal communication.

    Google Scholar 

  4. F. Deza, J.P. Gauthier, Observers for nonlinear systems and applications to distillation columns; to appear in Chemical Engineering Science.

    Google Scholar 

  5. J.P. Gauthier, G. Bornard, Observability for any u(t) of a class of nonlinear systems; IEEE Trans. Aut. Control, 26, 1981, 922–926.

    Article  MathSciNet  MATH  Google Scholar 

  6. J.P. Gauthier, H. Hammouri, I. Kupka, Observers for nonlinear systems; to appear at IEEE CDC Conference, December, 1991, Brighton England.

    Google Scholar 

  7. J.P. Gauthier, H. Hammouri, S. Othman, A simple observer for nonlinear systems, application to bioreactors; to appear IEEE Trans. Aut. Control, 1991.

    Google Scholar 

  8. J.P. Gauthier, I. Kupka “Separation principle for bilinear systems with dissipative drift” to appear in I.E.E.E. Trans. Aut. Control.

    Google Scholar 

  9. H. Hironaka, Subanalytic Sets, Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki; Kinokuniya, Tokyo, 1973, 453–493.

    Google Scholar 

  10. H. Hammouri, J.P. Gauthier, Bilinearization up to output injection; Syst. and Control letters, 11, 1988, 139–149.

    Article  MathSciNet  MATH  Google Scholar 

  11. H. Hammouri, J.P. Gauthier, Global time varying linearization up to output injection; to appear, SIAM Journal of Control.

    Google Scholar 

  12. A. Krener, A. Isidori, Linearization by output injection and nonlinear observers; Syst. and Control letters, 3, 1983, 47–52.

    Article  MathSciNet  MATH  Google Scholar 

  13. A. Krener, W. Respondek, Nonlinear observers with linearizable error dynamics; SIAM J. on Control and Optimization, 23, 1985, 197–216.

    Article  MathSciNet  MATH  Google Scholar 

  14. S. Lojasievicz, Triangulation of semi analytic sets; Annal. Sc. Nor. Sup. PISA, 1965, 449–474.

    Google Scholar 

  15. D.G. Luenberger, Observers for multivariable systems; IEEE Trans. Aut. Control 11, 1966, 190–197.

    Article  Google Scholar 

  16. R. Narasimhan, Introduction to the theory of analytic spaces, Springer Verlag, Lecture Notes in Mathematics 25, 1966.

    Google Scholar 

  17. H. Nijmeijer, Observability of a class of nonlinear systems, a geometric approach; Report of University of Twente, 1982.

    Google Scholar 

  18. S. Nicosia, P. Tomei, A. Tornambe, A nonlinear observer for elastic robots; IEEE J. of Robotics Automat, Vol. RA-4, 45–52, 1988.

    Article  Google Scholar 

  19. A. Tornambe, Use of asymptotic observers having high gains in the state and parameter estimation; 28th IEEE CDC Conference, December, 13–15, 1989, Tampa, Florida, USA.

    Google Scholar 

  20. D. Williamson, Observability of bilinear systems, with applications to biological control; Automatica, 13, 1977, 243–254.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kupka, I. (1992). Asymptotic State Estimation Using Observers in Dynamical and Control Systems. In: Bountis, T. (eds) Chaotic Dynamics. NATO ASI Series, vol 298. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3464-8_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3464-8_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6534-1

  • Online ISBN: 978-1-4615-3464-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics