Skip to main content
SpringerLink
Log in

Convergence analysis of cautious control

  • Published:
Science in China Series F Aims and scope Submit manuscript

Abstract

In this paper, we present a theoretical analysis on stability and convergence of the cautious control, which has advantages over the traditional certainty equivalence adaptive control, since it takes the parameter estimation error into account in the design, and is also one-step-ahead optimal in the mean square sense under Gaussian assumptions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Goodwin G C, Sin, K S. Adaptive Filtering, Prediction and Control. Englewood Cliffs, NJ: Prentice Hall, 1984

    Google Scholar 

  2. Cains P E. Linear Stochastic Systems. New York: Wiley, 1988

    Google Scholar 

  3. Åström K J, Wittenmark B. Adaptive Control. Reading, MA: Addison-Wesley, 1995

    Google Scholar 

  4. Kumar P R, Varaiya P. Stochastic Systems: Estimation, Identification and Adaptive Control. Englewood Cliffs, NJ: Prentice Hall, 1986

    Google Scholar 

  5. Chen H F, Guo L. Identification and Stochastic Adaptive Control. Boston: Birkhauser, 1991

    Google Scholar 

  6. Guo L. Convergence and logarithm laws of self-tuning regulators. Automatica, 1995, 31(3): 435–450

    Article  MATH  MathSciNet  Google Scholar 

  7. Guo L, Chen H F. The Åström-Wittenmark self-tuning regulator revisited and ELS-based adaptive trackers. IEEE Trans Automat Contr, 1991, 36(7): 802–812

    Article  MathSciNet  Google Scholar 

  8. Guo L. Self-convergence of weighted least-squares with applications to stochastic adaptive control. IEEE Trans Automat Contr, 1996, 41(1): 79–89

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China

    Zhang Yanxia

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Guo Lei

Authors
  1. Zhang Yanxia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guo Lei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Guo Lei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Y., Guo, L. Convergence analysis of cautious control. SCI CHINA SER F 49, 328–338 (2006). https://doi.org/10.1007/s11432-006-0328-z

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-006-0328-z

Keywords

Search

Navigation