Skip to main content
Log in

Parameter identification of continuous-time systems using iterative learning control

  • Regular Papers
  • Control Theory
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper presents a system identification technique for continuous-time state-space system using the iterative learning control. The transfer function parameters are regarded as functions with respect to the state-space parameters which will be identified. The relationship between the state-space parameters and the response error is explicitly derived. An update law of the state-space parameters is proposed so as to improve the convergence speed. The effectiveness of the proposed identification technique is demonstrated by numerical examples.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Ljung, System Identification — Theory for the User, 2nd ed., Prentice Hall, Upper Saddle River, NJ, 1999.

    Google Scholar 

  2. T. Söderström and P. Stoica, System Identification, Prentice Hall, Upper Saddle River, NJ, 1989.

    MATH  Google Scholar 

  3. Z. Bien and J. X. Xu, Iterative Learning Control: Analysis, Design, Integration and Applications, Kluwer Academic Press, Boston, 1998.

    Google Scholar 

  4. Y. Chen and C. Wen, Iterative Learning Control: (Convergence, Robustness and Applications), no. 248 of Lecture Notes in Control and Information Sciences, Springer-Verlag, London, 1999.

    MATH  Google Scholar 

  5. Y.-Q. Chen, C.-Y. Wen, and J.-X. Xu, “High-order iterative learning identification of projectile’s aerodynamic drag coefficient curve from radar measured velocity data,” IEEE Transactions on Control Systems Technology, vol. 6, no. 4, pp. 563–570, 1998.

    Article  Google Scholar 

  6. T. Sugie and F. Sakai, “Noise tolerant iterative learning control for identification of continuous-time systems,” Proc. of the 44th IEEE Conference on Decision and Control, pp. 4251–4256, 2005.

  7. F. Sakai and T. Sugie, “Continuous-time closed-loop identification method via projection type iterative learning,” Trans. of the Society of Instrument and Control Engineers (in Japanese), vol. 43, no. 10, pp. 877–882, 2007.

    MathSciNet  Google Scholar 

  8. T.-H. Kim, X. Zheng, and T. Sugie, “Noise tolerant iterative learning control and identification for continuous-time systems with unknown bounded input disturbance,” ASME, Journal of Dynamics Systems, Measurement, and Control, vol. 129, no. 4, pp. 825–836, 2007.

    Article  Google Scholar 

  9. T. Sugie, “Identification of linear continuous-time systems based iterative learning control,” in Recent Advances in Learning and Control, Springer-Verlag, London, pp. 205–218, 2008.

    Chapter  Google Scholar 

  10. H. Unbehauen and G. P. Rao, “Continuous-time approaches to system identification — a survey,” Automatica, vol. 26, no. 1, pp. 23–35, 1990.

    Article  MATH  MathSciNet  Google Scholar 

  11. D. C. McFarlane and K. Glover, Robust Controller Design Using Normalized Coprime Factor Plant Descriptions, no. 138 of Lecture Notes in Control and Information Sciences, Springer-Verlag, London, 1990.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Atsushi Fujimori.

Additional information

Recommended by Editorial Board member Kwang Soon Lee under the direction of Editor Young Il Lee.

Atsushi Fujimori received his Ph.D. degree in Aeronautics from Nagoya University in Japan in 1989. Since 2006, he has been working in the Department of Mechanical Systems Engineering, University of Yamanashi in Japan as a professor. His research interests are in the areas of system identification, robust control, flight control and mobile robots.

Shinsuke Ohara received his Ph.D. degree in Mechanical Engineering from Osaka University in Japan in 2006. Since 2009, he has been working as an assistant professor in the Department of Mechanical Systems Engineering, University of Yamanashi in Japan. His research interests include control of constrained systems and mobile robot systems.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fujimori, A., Ohara, S. Parameter identification of continuous-time systems using iterative learning control. Int. J. Control Autom. Syst. 9, 203–210 (2011). https://doi.org/10.1007/s12555-011-0201-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-011-0201-8

Keywords

Navigation