Global adaptive stabilization in the absence of information on the sign of the high frequency gain

  • J. C. Willems
  • G. I. Byrnes
Session 2 Stability I
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)


An adaptive control algorithm is presented which globally stabilizes any n-th order linear time-invariant system having (n-1) left half plane zeros. Knowledge of the sign of the high frequency gain is not required for convergence.


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  1. [1]
    A.S. Morse: "Recent Problems in Parameter Adaptive Control", pp. 733–740, Vol. 3, Outils et Modèles Mathématiques pour l'Automatique, l'Analyse de Systèmes et le Traitement du Signal, Ed. I.D. Landau, Editions du CNRS, 1983.Google Scholar
  2. [2]
    R.D. Nussbaum: "Some Remarks on a Conjecture in Parameter Adaptive Control", Systems and Control Letters, Vol. 3, No. 5, pp. 243–246, 1983.Google Scholar
  3. [3]
    A.S. Morse: "An Adaptive Control for Globally Stabilizing Linear Systems with Unknown High-Frequency Gains", Department of Electrical Engineering, Yale Univ., Report No. 8402, January 1984.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • J. C. Willems
    • 1
  • G. I. Byrnes
    • 2
  1. 1.Mathematics InstituteUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of Applied ScienceHarvard UniversityCambridgeUSA

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