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Construction of a terminal control for a second-order system with state constraints

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Abstract

We consider a terminal control problem with state constraints and additional constraints on the qualitative behavior of the terminal trajectory for a second-order system in two-dimensional Euclidean space under geometric constraints on control parameters. A class of control functions solving this control problem is proposed. Numerical results for the control system with model parameters are presented.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    N. L. Grigorenko, A. V. Anisimov & L. N. Luk’yanova

Authors
  1. N. L. Grigorenko
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  2. A. V. Anisimov
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  3. L. N. Luk’yanova
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Correspondence to N. L. Grigorenko.

Additional information

Original Russian Text © N.L.Grigorenko, A.V. Anisimov, L.N. Luk’yanova, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 4.

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Grigorenko, N.L., Anisimov, A.V. & Luk’yanova, L.N. Construction of a terminal control for a second-order system with state constraints. Proc. Steklov Inst. Math. 292 (Suppl 1), 106–114 (2016). https://doi.org/10.1134/S0081543816020097

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  • DOI: https://doi.org/10.1134/S0081543816020097

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