Skip to main content

Adaptive Control of Systems Subjected to Bounded Disturbances

  • Chapter
Bounding Approaches to System Identification

Abstract

In practical adaptive control systems which use identification procedures, the effect of disturbances on the system behavior is the important factor. The above effect is investigated from statistical considerations.(1) This approach requires some knowledge of disturbance statistics. However, in various control applications, the assumptions regarding the disturbance statistics may be invalid. In these cases, the statistical approach is unsuitable. Meanwhile, in most cases the available a priori information about the disturbance is given not in statistical terms but as bounds on its absolute value. In the cases mentioned, the bounding approaches are appropriate. These approaches are developed in the identification and control theory.(2–6)

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. G. C. Goodwin and K. S. Sin, Adaptive Filtering Prediction and Control, Prentice Hall, Englewood Cliffs, NJ (1984).

    MATH  Google Scholar 

  2. K. Forsman and L. Ljung, in: Vol. 2 of Proc. of the 9th IFAC/IFORS Symposium (Cs. Bànyàsz and L. Keviczky, eds.) Budapest, Hungary, pp. 1410-1414 (1991).

    Google Scholar 

  3. M. Milanese and A. Vicino, in: Vol. 1 of Proc. of the 9th IFAC/IFORS Symposium (Cs. Bànyàsz and L. Keviczky, eds.) Budapest, Hungary, pp. 859-867 (1991).

    Google Scholar 

  4. S. M. Veres and J. P. Norton, in: Vol. 2 of Proc. of the 9th IFAC/IFORS Symposium (Cs. Bànyàsz and L. Keviczky, eds.) Budapest, Hungary, pp. 1038-1043 (1991).

    Google Scholar 

  5. E. Walter and H. Piet-Lahanier, in: Vol. 1 of Proc. of the 9th IFAC/IFORS Symposium (Cs. Bànyàsz and L. Keviczky, eds.) Budapest, Hungary, pp. 763-768 (1991).

    Google Scholar 

  6. B. Egardt, Stability of Adaptive Controllers: Lecture Notes in Control and Information Sciences, Springer-Verlag, New York (1979).

    Book  MATH  Google Scholar 

  7. E. Fogel and Y. F. Huang, Automatica 18, 229 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  8. V. N. Fomin, A. L. Fradkov, and V. A. Yakubovich, Adaptive Control of Dynamic Plants, Nauka, Moscow, Russia (1981).

    Google Scholar 

  9. G. Kreisselmeier and K. S. Narendra, IEEE Trans. Autom. Control, AC-27, 1169 (1982).

    Article  MathSciNet  Google Scholar 

  10. R. Lozano-Leal and R. Ortega, Automatica 23, 247 (1987).

    Article  MathSciNet  MATH  Google Scholar 

  11. J. M. Martin-Sanchez, IEEE Trans. Autom. Control, AC-29, 461 (1984).

    Article  Google Scholar 

  12. R. Ortega and R. Lozano-Leal, Automatica 23, 253 (1987).

    Article  MathSciNet  MATH  Google Scholar 

  13. B. Peterson and K. S. Narendra, IEEE Trans. Autom. Control, AC-27, 1161 (1982).

    Article  Google Scholar 

  14. C. Samson, Automatica 19, 81 (1983).

    Article  MATH  Google Scholar 

  15. Y M. Kuntsevich and S. A. Nikitenko, in: Vol. 1 of Proc. of the 9th IFAC/IFORS Symposium (Cs. Bànyàsz and L. Keviczky, eds.) Budapest, Hungary, pp. 328-331 (1991).

    Google Scholar 

  16. G. M. Bakan and Y. T. Strashko, Avtomatika i telemekhanika, 2, 89 (1980).

    MathSciNet  Google Scholar 

  17. L. S. Zhiteckij, Kibernetika i Vychisl. Tekhnika 60, 17 (1983).

    Google Scholar 

  18. V. A. Bondarko, Dokl. AN SSSR 270, 301 (1983).

    Google Scholar 

  19. L. S. Zhiteckij, in: Vol. 1 of Proc. of the 9th IFAC/IFORS Symposium (Cs. Bànyàsz and L. Keviczky, eds.) Budapest, Hungary, pp. 585-590 (1991).

    Google Scholar 

  20. B. D. Lubachevsky, Avtomatika i telemekhanika, 3, 83 (1974).

    Google Scholar 

  21. S.W. Director and R. A. Rohrer, Introduction to System Theory, McGraw-Hill, New York (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media New York

About this chapter

Cite this chapter

Zhiteckij, L.S. (1996). Adaptive Control of Systems Subjected to Bounded Disturbances. In: Milanese, M., Norton, J., Piet-Lahanier, H., Walter, É. (eds) Bounding Approaches to System Identification. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9545-5_24

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9545-5_24

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9547-9

  • Online ISBN: 978-1-4757-9545-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics