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A new scheme for discrete implicit observer and controller

  • Control Theory
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 38))

Abstract

Many different schemes of the adaptive observer and controller have been developed for both continuous and discrete system. In this paper we present a new scheme of the adaptive observer for the discrete linear system. The adaptation algorithm is derived based on the exponentially weighted least square method. The adaptive model following control system is also constructed according to the proposed observer scheme. The proposed observer and controller are simple structure and have fast convergence characteristic in adaptation algorithm. The effectiveness of the algorithm and structure are illustrated by the computer simulation of a third order system.

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References

  1. Carroll R.L. and Lindorff D.P., "An Adaptive Observer for Single-Input Single-Output Linear Systems", IEEE Trans. Automat. Contr., vol. AC-18, pp. 428–434 Oct. 1973.

    Google Scholar 

  2. Lüders G. and Narendra K.S., "An Adaptive Observer and Identifier for a Linear System", IEEE Trans. Automat. Contr., vol. AC-18, pp. 496–499, Oct. 1973.

    Google Scholar 

  3. Kudva P. and Narendra K.S., "Synthesis of an Adaptive Observer Using Lyapunov's direct method", Int. J. Contr., vol. 18, pp. 1201–1210, Dec. 1973.

    Google Scholar 

  4. Kudva P. and Narendra K.S., "The Discrete Adaptive Observer", Proc. 1974 Conference on Decision and Control, Phoenix AZ, Nov. 20–22, pp. 307–312.

    Google Scholar 

  5. Suzuki T. and Andoh M., "Design of a Discrete Adaptive Observer based on Hyperstability Theorem", Int. J. Contr., vol. 26, No. 4, pp. 643–653, 1977.

    Google Scholar 

  6. Kreisselmeier G., "Adaptive Observers with Exponential Rate of Convergence", IEEE Trans. Automat. Contr., vol. AC-22, pp. 2–8, Feb. 1977.

    Google Scholar 

  7. Suzuki. T., Nakamura T and Koga M., "Discrete Adaptive Observer with fast Convergence", Int. J. Contr., vol. 31, No. 6, pp. 1107–1119, 1980.

    Google Scholar 

  8. Nuyan S. and Carroll R.L., "Minimal Order Arbitrarily Fast Adaptive Observers and Identifiers", IEEE Trans. Automat. Contr. vol. AC-24, Apr. 1979.

    Google Scholar 

  9. Narendra K.S. and Valavani L.S., "Stable Adaptive Controller Design-Direct Control", IEEE Trans. Automat. Contr., vol. AC-23, No. 4, Aug. 1978.

    Google Scholar 

  10. Monopoli R.V., "Model Reference Adaptive Control with an Augmented Error", IEEE Trans. Automat. Contr., vol. AC-19, No. 5, Oct. 1974.

    Google Scholar 

  11. Landau I.D., "Adaptive Control-The Model Reference Approach", New York: Dekker, 1979.

    Google Scholar 

  12. Luenberger D.G. "An Introduction to Observers", IEEE Trans. on Automat. Contr., vol. AC-16, No. 6, Dec. 1971.

    Google Scholar 

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R. F. Drenick F. Kozin

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© 1982 Springer-Verlag

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Ko, M.S., Huh, U.Y. (1982). A new scheme for discrete implicit observer and controller. In: Drenick, R.F., Kozin, F. (eds) System Modeling and Optimization. Lecture Notes in Control and Information Sciences, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006138

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  • DOI: https://doi.org/10.1007/BFb0006138

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11691-2

  • Online ISBN: 978-3-540-39459-4

  • eBook Packages: Springer Book Archive

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