Abstract
This paper deals with an identification problem which arises in adaptive control for partially known systems. The linear systems under consideration can be represented by a nonlinear parametric model which is polynomial in the unknown physical parameters, as opposed to the linear parametric model used in most black-box identification problem. A multilinear parametrization approach is proposed and an identification algorithm based on the multilinear model is developed. The properties of the multilinear identification algorithm are explored and analyzed. Simulation results are also presented to demonstrate the effectiveness of the proposed algorithm.
This research was supported by National Science Foundation under grant ECS-9110984.
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References
Carlos A Canudas de Wit, Adaptive Control for Partially Known Systems, Elsevier Science Publishers B. V., 1988.
B. Wittenmark, “Adaptive stability augmentation”, Automatica, Vol. 26, No. 4, 1990.
E. W. Bai and S. S. Sastry, “Parameter identification using priori information”, Int. J. Control, Vol. 44, No. 2, 1986.
S. Dasgupta, “Adaptive Identification of Systems with Polynomial Parametrization”, IEEE Transaction on Circuits and Systems, May 1988.
S. Dasgupta, B. D. O. Anderson and R. J. Kaye, “Output-error identification for partially known systems”, Int. J. Control, Vol. 43, No. 1, 1986.
P. J. Gawthrop, R. W. Jones and S. A. Macjebzie, “Identification of Partially Known Systems”, Automatica, Vol. 28, No. 4, 1992.
M. T. Nihtila, “Optimal finite dimentional recursive identification in a polynomial output mapping class”, System & Control Letter, Vol. 3, December, 1983.
V. M. Popov, Hyperstability of Control Systems, Springer-Verlag, 1973, p. 211.
K. S. Narendra and A. M. Annaswamy, Stable Adaptive Systems, Prentice-Hall, 1989.
S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence and Performance, Prentice-Hall, 1989.
J. Sun, “A Multilinear Identification for Partially Known Systems”, to appear in the proceedings of the 32nd CDC, 1993.
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© 1995 Springer Science+Business Media New York
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Sun, J. (1995). A Multilinear Parametrization Approach for Identification of Partially Known Systems. In: Åström, K.J., Goodwin, G.C., Kumar, P.R. (eds) Adaptive Control, Filtering, and Signal Processing. The IMA Volumes in Mathematics and its Applications, vol 74. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8568-2_17
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DOI: https://doi.org/10.1007/978-1-4419-8568-2_17
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