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Analysis and Optimization of Systems pp 49–57Cite as

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

  • Session 2 Stability I
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 62))

Abstract

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.

Research supported in part by the Netherlands Organisation for the Advancement of Pure Research (ZWO), and by the Air Force Office of Scientific Research under Grant No. AFOSR 810054.

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References

  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.

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  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.

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  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.

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Author information

Authors and Affiliations

  1. Mathematics Institute, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    J. C. Willems

  2. Department of Applied Science, Harvard University, 02138, Cambridge, MA, USA

    G. I. Byrnes

Authors
  1. J. C. Willems
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  2. G. I. Byrnes
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Editor information

A. Bensoussan J. L. Lions

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© 1984 Springer-Verlag

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Willems, J.C., Byrnes, G.I. (1984). Global adaptive stabilization in the absence of information on the sign of the high frequency gain. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004944

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  • DOI: https://doi.org/10.1007/BFb0004944

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13551-7

  • Online ISBN: 978-3-540-39007-7

  • eBook Packages: Springer Book Archive

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