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Synthesis of discrete stabilization for a nonlinear stationary control system under incomplete information

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Abstract

The paper presents an algorithm for synthesizing discrete control functions in the case of incomplete information and discrete measurer. Under these control functions, solutions of a wide class of nonlinear stationary systems are transferred from the given initial state into an arbitrary neighborhood of the origin with due account taken of the constraints imposed on the control. Constructive criteria for the selection of the initial states and discretization step are derived, which ensure implementation of the suggested algorithm. The efficiency of the method is illustrated with numerical simulation of the problem of interorbital transfer.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia

    A. N. Kvitko & D. B. Yakusheva

Authors
  1. A. N. Kvitko
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  2. D. B. Yakusheva
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Correspondence to A. N. Kvitko.

Additional information

Original Russian Text © A.N. Kvitko, D.B. Yakusheva, 2012, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2012, No. 2, pp. 21–30.

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Kvitko, A.N., Yakusheva, D.B. Synthesis of discrete stabilization for a nonlinear stationary control system under incomplete information. Vestnik St.Petersb. Univ.Math. 45, 65–72 (2012). https://doi.org/10.3103/S1063454112020070

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  • DOI: https://doi.org/10.3103/S1063454112020070

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