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
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.
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.
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.
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.
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.
Kreisselmeier G., "Adaptive Observers with Exponential Rate of Convergence", IEEE Trans. Automat. Contr., vol. AC-22, pp. 2–8, Feb. 1977.
Suzuki. T., Nakamura T and Koga M., "Discrete Adaptive Observer with fast Convergence", Int. J. Contr., vol. 31, No. 6, pp. 1107–1119, 1980.
Nuyan S. and Carroll R.L., "Minimal Order Arbitrarily Fast Adaptive Observers and Identifiers", IEEE Trans. Automat. Contr. vol. AC-24, Apr. 1979.
Narendra K.S. and Valavani L.S., "Stable Adaptive Controller Design-Direct Control", IEEE Trans. Automat. Contr., vol. AC-23, No. 4, Aug. 1978.
Monopoli R.V., "Model Reference Adaptive Control with an Augmented Error", IEEE Trans. Automat. Contr., vol. AC-19, No. 5, Oct. 1974.
Landau I.D., "Adaptive Control-The Model Reference Approach", New York: Dekker, 1979.
Luenberger D.G. "An Introduction to Observers", IEEE Trans. on Automat. Contr., vol. AC-16, No. 6, Dec. 1971.
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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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Print ISBN: 978-3-540-11691-2
Online ISBN: 978-3-540-39459-4
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