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A class of adaptive controllers with application to robust adaptive control

  • Adaptive Control
  • Conference paper
  • First Online:
Book cover Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 111))

Abstract

This paper deals with discrete time, single-input single-output systems. A parametrization of a general class of adaptive controllers is given. Using this paramtrization it is shown that an adaptive controller based on the l 1 optimal design strategy leads to a globally convergent adaptive scheme. The use of adaptive l 1 controllers is motivated by the problem of robust adaptive control, and the results of this paper offer an alternative way of handling this problem.

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References

  1. B. Egardt, Stability of Adaptive Controllers, Springer-Verlag, New York, 1979.

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  3. Romeo Ortega, Laurent Praly, and Ioan D. Landau, “Robustness of Discrete-time Direct Adaptive Controllers,” IEEE Trans. Automat. Contr., vol. AC-30, no. 12, pp. 1179–1187, December 1985.

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  4. Graham C. Goodwin and Kwai Sang Sin, Adaptive Filtering Prediction and Control, Prentice Hall, 1984.

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  5. M. Vidyasagar, Control System Synthesis: A Factorization approach, The MIT Press, 1985.

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  6. Munther A. Dahleh and J. B. Pearson, Jr., “l 1-Optimal Controllers for MIMO Discrete-Time Systems,” IEEE Trans. Automat. Contr., vol. AC-32, no. 4, pp. 314–323, April, 1987.

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Author information

Authors and Affiliations

  1. Dept. of Electrical Engineering, Texas A & M University, 77843, College Station, TX

    Mohammed Dahleh

  2. Dept. of EE & Comp. Sci, and LIDS, Massachusetts Institute of Technology, 02139, Cambridge, MA

    Munther Dahleh

Authors
  1. Mohammed Dahleh
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  2. Munther Dahleh
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Editor information

A. Bensoussan J. L. Lions

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© 1988 Springer-Verlag

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Cite this paper

Dahleh, M., Dahleh, M. (1988). A class of adaptive controllers with application to robust adaptive control. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042262

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  • DOI: https://doi.org/10.1007/BFb0042262

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19237-4

  • Online ISBN: 978-3-540-39161-6

  • eBook Packages: Springer Book Archive

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