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Robust Control pp 179-185 | Cite as

A study on a variable adaptive law

  • Seiichi Shin
  • Toshiyuki Kitamori
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 183)

Abstract

This paper presents a variable adaptive law, which is robust to bounded disturbances. Combining with the dead zone, the proposing adaptive law uses a sort of the σ-modified adaptive law in the small estimation error region. Viability of the adaptive law, in comparing with the dead zone type adaptive law, is shown by theoretical analysis and a simple numerical simulation.

Keywords

Lyapunov Function Safety Margin Adaptive System Control Object Dead Zone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1).
    K. S. Narendra and A. M. Annaswamy, Stable Adaptive Systems, Prentice Hall, 1989Google Scholar
  2. 2).
    B. B. Peterson and K. S. Narendra: Bounded error adaptive control, IEEE Trans. Automatic Control, vol. AC-27, no. 6, pp. 1161–1168 (1982)CrossRefGoogle Scholar
  3. 3).
    P. A. Ioannou and P. V. Kokotovic: Instability analysis and improvement of adaptive control, Automatica, vol. 20, no. 5, pp. 583–594 (1984)zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Seiichi Shin
    • 1
  • Toshiyuki Kitamori
    • 2
  1. 1.Institute of information Sciences and ElectronicsUniversity of TsukubaTsukubaJapan
  2. 2.Department of Mathematical Engineering and Information Physics Faculty of EngineeringUniversity of TokyoTokyoJapan

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