Skip to main content

Nonlinear Adaptive Backstepping with Estimator Resetting Using Multiple Observers

  • Conference paper
  • First Online:
Hybrid Systems: Computation and Control (HSCC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2034))

Included in the following conference series:

Abstract

A multiple model based observer/estimator for the estimation of parameters is used to reset the parameter estimation in a conventional Lyapunov based nonlinear adaptive controller. The advantage of combining both approaches is that the performance of the controller with respect to disturbances can be considerably improved while a reduced controller gain will increase the robustness of the approach with respect to noise and unmodeled dynamics. Several alternative resetting criteria are developed based on a control Lyapunov function.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. R. H. Middleton, G. C. Goodwin, D. J. Hill, and D. Q. Mayne, “Design issues in adaptive control,” IEEE Transactions on Automatic Control, vol. 33, pp. 50–58, 1 1988.

    Article  MATH  MathSciNet  Google Scholar 

  2. K. S. Narendra and J. Balakrishnan, “Improving transient response of adaptive control systems using multiple models and switching,” IEEE Transactions on Automatic Control, vol. 39, no. 9, pp. 1861–1866, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  3. K. S. Narendra and J. Balakrishnan, “Intelligent control using fixed and adaptive models,” in Proceedings on the 33rd CDC, Lake Buena vista, Florida, pp. 1680–1685, December 1994.

    Google Scholar 

  4. K. S. Narendra, J. Balakrishnan, and M. K. Ciliz, “Adaption and learning using multiple models, switching and tuning,” IEEE Control Systems Magazine, vol. 15, no. 3, pp. 37–51, 1995.

    Article  Google Scholar 

  5. A. S. Morse, “Supervisory control of families of linear set-point controllers-part 1: Exact matching,” IEEE Transactions on Automatic Control, vol. 41, pp. 1413–1431, October 1996.

    Article  MATH  MathSciNet  Google Scholar 

  6. A. S. Morse, “Supervisory control of families of linear set-point controllers-part 2: Robustness,” IEEE Transactions on Automatic Control, vol. 42, pp. 1500–1515, 10 1997.

    Article  MATH  MathSciNet  Google Scholar 

  7. K. S. Narendra and C. Xiang, “Adaptive control of discrete-time systems using multiple models,” in Proceedings on the 37th CDC Tampa, Florida, pp. 3978–3983, December 1998.

    Google Scholar 

  8. P. V. Zhivoglyadov, R. H. Middleton, and M. Fun, “Localisation based switching adaptive control for time-varying discrete time systems,” IEEE Transactions on Automatic Control, vol. 45, no. 4, pp. 752–755, 2000.

    Article  MATH  Google Scholar 

  9. M. Krstiç, I. Kanellakopoulos, and P. Kokotoviç, Nonlinear Adaptive Control Design. John Wiley & Sons Inc., 1995.

    Google Scholar 

  10. A. van der Schaft and H. Schumacher, An Introduction to Hybrid Dynamical Systems. London: Springer-Verlag, 2000.

    MATH  Google Scholar 

  11. S. D. V. Utkin, “Sliding mode observers. Tutorial,” in Proceedings of the 34th IEEE CDC, New Orleans, pp. 3376–3378, 1995.

    Google Scholar 

  12. Y. Liu, “Switching observer design for uncertain nonlinear system,” in Proceedings of the 34th IEEE CDC, New Orleans, pp. 1756–1761, 1995.

    Google Scholar 

  13. J. Hespanha, Logic-Based Switching Algorithms in Control. Dissertation, Graduate School, Yale University, December 1998.

    Google Scholar 

  14. C. de Wit, R. Horowitz, and P. Tsiotras, “Model-based observers for tire/road contact friction prediction,” in New Directions in Nonlinear Observer Design, Springer Lecture Notes on Control and Information Science No. 244.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kalkkuhl, J., Johansen, T.A., Lüdemann, J., Queda, A. (2001). Nonlinear Adaptive Backstepping with Estimator Resetting Using Multiple Observers. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A. (eds) Hybrid Systems: Computation and Control. HSCC 2001. Lecture Notes in Computer Science, vol 2034. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45351-2_27

Download citation

  • DOI: https://doi.org/10.1007/3-540-45351-2_27

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41866-5

  • Online ISBN: 978-3-540-45351-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics