Skip to main content

Identification of Linear Continuous-time Systems Based on Iterative Learning Control

  • Conference paper
Recent Advances in Learning and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 371))

Abstract

One of the most important issues in control system design is to obtain an accurate model of the plant to be controlled. Though most of the existing identification methods are described in discrete-time, it would be more appropriate to have continuous-time models directly from the sampled I/O data. This paper presents a novel approach for such direct identification of continuous-time systems based on iterations. The method achieves identification through iterative learning control concepts in the presence of heavy measurement noise. The robustness against measurement noise is achieved through (i) projection of continuous-time I/O signals onto a finite dimensional parameter space, and (ii) noise tolerant learning laws. The method can be easily applied to system identification in closed loop. The effectiveness of the method is demonstrated through numerical examples for systems including non-minimum phase one.

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. Arimoto, S., Kawamura, S., Miyazaki, F.: Bettering operation of robotics. Journal of Robotic System 1(2), 123–140 (1984)

    Article  Google Scholar 

  2. Bein, Z., Xu, J.X.: Iterative learning control — Analysis, design, integration and applications. Kluwer Academic Publishers, Boston (1998)

    Google Scholar 

  3. Campi, M.C., Sugie, T., Sakai, F.: Iterative identification method for linear continuous-time systems. In: Proc. of the 45th IEEE Conference on Decision and Control, pp. 817–822 (2006)

    Google Scholar 

  4. Chen, Y., Wen, C: Iterative learning control: convergence, robustness and applications. LNCIS. vol. 248. Springer, Heidelberg (1999)

    Google Scholar 

  5. Gamier, H., Gilson, M., Husestein, E.: Developments for the MATLAB® CONTSID toolbox. In: CD-ROM. Proc. of the 13th IFAC Symposium on System Identification (2003)

    Google Scholar 

  6. Gamier, H., Mensler, M.: CONTSID: a CONtinuous-Time System IDentification toolbox for MATLAB®. In: Proc. of the 5th European Control Conference (1999)

    Google Scholar 

  7. Gamier, H., Mensler, M.: The CONTSID toolbox: a MATLAB® toolbox for CONtinuous-Time System IDentification. In: CD-ROM. Proc. of the 12th IFAC Symposium on System Identification (2000)

    Google Scholar 

  8. Hamamoto, K., Sugie, T.: An iterative learning control algorithm within prescribed input-output subspace. Automatica 37(11), 1803–1809 (2001)

    Article  MATH  Google Scholar 

  9. Hamamoto, K., Sugie, T.: Iterative learning control for robot manipulators using the finite dimensional input subspace. IEEE Trans. Robotics and Automation 18(4), 632–635 (2002)

    Article  Google Scholar 

  10. Kawamura, S., Miyazaki, F., Arimoto, S.: Realization of robot motion based on a learning method. IEEE Trans, on Systems, Man and Cybernetics 18(1), 126–134 (1988)

    Article  Google Scholar 

  11. Moore, K.L.: Iterative learning control for deterministic systems. Springer-Verlag Series on Advances in Industrial Control. Springer, London (1993)

    Google Scholar 

  12. Sakai, F., Sugie, T.: Continuous-time systems identification based on iterative learning control. In: Proc. of the 16th IFAC World Congress (2005)

    Google Scholar 

  13. Sakai, F., Sugie, T.: H 2-suboptimal iterative learning control for continuous-time system identification. In: Proc. of American Control Conference, pp. 946–951 (2006)

    Google Scholar 

  14. Sakai, F., Sugie, T.: A continuous-time closed-loop identification method based on iterative learning. In: Proc. of the 46th IEEE Conference on Decision and Control (to appear, 2007)

    Google Scholar 

  15. Sinha, N.K., Rao, G.P.: Identification of Continuous-Time Systems. Kluwer Academic Publishers, Dordrecht (1991)

    MATH  Google Scholar 

  16. Sugie, T., Ono, T.: An iterative learning control law for dynamical systems. Automatica 27(4), 729–732 (1991)

    Article  MathSciNet  Google Scholar 

  17. Unbehauen, H., Rao, G.P.: Continuous-time approaches to system identification — a survey. Automatica 26(1), 23–35 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  18. Young, P.: Parameter estimation for continuous-time models — a survey. Automatica 17(1), 23–39 (1981)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sugie, T. (2008). Identification of Linear Continuous-time Systems Based on Iterative Learning Control. In: Blondel, V.D., Boyd, S.P., Kimura, H. (eds) Recent Advances in Learning and Control. Lecture Notes in Control and Information Sciences, vol 371. Springer, London. https://doi.org/10.1007/978-1-84800-155-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-1-84800-155-8_15

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-154-1

  • Online ISBN: 978-1-84800-155-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics