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Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system

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Abstract

The time-optimal control problem for a nonlinear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. An algorithm for constructing asymptotic approximations to its solution is proposed. The main advantage of the algorithm is that the original optimal control problem decomposes into two unperturbed problems of lower dimensions.

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Authors and Affiliations

  1. Belarussian State University, pr. Nezavisimosti 4, Minsk, 220050, Belarus

    Ya. O. Grudo & A. I. Kalinin

Authors
  1. Ya. O. Grudo
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  2. A. I. Kalinin
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Correspondence to Ya. O. Grudo.

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Original Russian Text © Ya.O. Grudo, A.I. Kalinin, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 11, pp. 1942–1951.

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Grudo, Y.O., Kalinin, A.I. Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system. Comput. Math. and Math. Phys. 48, 1945–1954 (2008). https://doi.org/10.1134/S0965542508110043

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  • DOI: https://doi.org/10.1134/S0965542508110043

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