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Interpretation of the robust stability conditions appearing in adaptive control

  • Session 2 Stability I
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

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

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Abstract

Some recent results on robust stability of direct discrete time adaptive controllers are analyzed through simple examples. The simultaneous existence of reduced order modelling and bounded output disturbances which is the rule and not the exception in practice, is shown to lead the estimator to a tradeoff between disturbance rejection and performance (in the sense of model following).

R. Ortega's work is sponsored by the National University of Mexico.

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References

  1. Kosut, R.L., Friedlander, B. "Performance robustness properties of adaptive control systems". 21st IEEE CDC Orlando Fl. Dec. 8–10, 1982.

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  2. Gawthrop, P.J. "On the stability and convergence of a self-tuning controller". Int. J. Control, Vol. 31, No5, pp.973–98.

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  3. Ortega, R., Praly, L., Landau I.D. "Robustness of discrete adaptive controllers: quantification and improvement". IEEE Trans. on Aut. Cont. (submitted).

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  4. Ortega, R. "Robustness enhancement of adaptive controllers by incorporation of process a priori knowledge". Syst. and Control Letters. (To appear).

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  5. Safonov, M.G. "Stability robustness of multivariable feedback systems". MIT Press 1980.

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  6. Landau, I.D. "Adaptive control-the model reference approach". New York, Dekker, 1979.

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  7. Ortega, R., M'Saad, M. Canudas, C. "Practical requirements and theoretical results in robust adaptive control". 9th IFAC Congress. Budapest, Hun. 2–6 July, 1984.

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Author information

Authors and Affiliations

  1. Greco (69) Systèmes Adaptatifs (C.N.R.S.) et Laboratoire d'Automatique de Grenoble E.N.S.I.E.G., B.P. 46, 38402, Saint-Martin-d'Hères

    R. Ortega & I. Landau

Authors
  1. R. Ortega
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  2. I. Landau
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Editor information

A. Bensoussan J. L. Lions

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© 1984 Springer-Verlag

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Ortega, R., Landau, I. (1984). Interpretation of the robust stability conditions appearing in adaptive control. 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/BFb0004943

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  • DOI: https://doi.org/10.1007/BFb0004943

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  • 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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