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A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System

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Abstract

A wide class of nonlinear time-invariant systems of ordinary differential equations is considered. A rather convenient algorithm for constructing a differentiable control function that performs a guaranteed transition of such systems from an initial state to a given terminal state of the state space under control constraints is proposed. A constructive criterion that guarantees the above-mentioned translation is obtained. The efficiency of this algorithm is illustrated by numerical solution of a specific practical problem.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 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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This paper was recommended for publication by M.M. Khrustalev, a member of the Editorial Board

Russian Text © The Author(s), 2020, published in Avtomatika i Telemekhanika, 2020, No. 2, pp. 48–61.

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Kvitko, A.N. A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System. Autom Remote Control 81, 236–246 (2020). https://doi.org/10.1134/S0005117920020046

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  • DOI: https://doi.org/10.1134/S0005117920020046

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