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On the Control of a Nonlinear Dynamic System in a Time-Optimal Problem with State Constraints

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Abstract

An optimal control problem for a nonlinear dynamic system is studied. The required control must satisfy given constraints and provide the fulfilment of a number of conditions on the current state of the system. For the construction of admissible controls in this problem, we propose an approach based on the ideas of solution of control problems with a guide. The results of numerical simulation are presented.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russia

    I. N. Kandoba & I. V. Koz’min

  2. Ural Federal University, Yekaterinburg, 620002, Russia

    I. N. Kandoba & I. V. Koz’min

Authors
  1. I. N. Kandoba
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  2. I. V. Koz’min
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Correspondence to I. N. Kandoba.

Additional information

Original Russian Text © I.N. Kandoba, I. V. Koz’min, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 2.

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Kandoba, I.N., Koz’min, I.V. On the Control of a Nonlinear Dynamic System in a Time-Optimal Problem with State Constraints. Proc. Steklov Inst. Math. 299 (Suppl 1), 75–87 (2017). https://doi.org/10.1134/S0081543817090103

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  • DOI: https://doi.org/10.1134/S0081543817090103

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