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Solving a Local Boundary Value Problem for a Nonlinear Nonstationary System in the Class of Feedback Controls

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Abstract

An algorithm convenient for numerical implementation is proposed for constructing differentiable control functions that transfer a wide class of nonlinear nonstationary systems of ordinary differential equations from an initial state to a given point of the phase space. Constructive sufficient conditions imposed on the right-hand side of the controlled system are obtained under which this transfer is possible. The control of a robotic manipulator is considered, and its numerical simulation is performed.

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Authors and Affiliations

  1. St. Petersburg State University, Petrodvorets, St. Petersburg, 198510, Russia

    A. N. Kvitko

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  1. A. N. Kvitko
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Correspondence to A. N. Kvitko.

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Original Russian Text © A.N. Kvitko, 2018, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2018, Vol. 58, No. 1, pp. 70–82.

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Kvitko, A.N. Solving a Local Boundary Value Problem for a Nonlinear Nonstationary System in the Class of Feedback Controls. Comput. Math. and Math. Phys. 58, 65–77 (2018). https://doi.org/10.1134/S0965542518010104

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  • DOI: https://doi.org/10.1134/S0965542518010104

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