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Synthesis of zonal controls of nonlinear systems under discrete observations

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Abstract

This paper is concerned with the synthesis of the optimal control of plants described by systems of nonlinear ordinary differential equations in a class of zonal piecewise-constant control functions under fuzzy initial conditions and the plant parameters. Formulas for the gradient of the cost function are obtained. For the numerical calculation of the values of the designed controls, these formulas enable one to involve efficient methods of first order finite-dimensional optimization. Results of numerical experiments are given based on solutions of model problems.

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Correspondence to S. Z. Kuliev.

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Original Russian Text © S.Z. Kuliev, 2011, published in Avtomatika i Vychislitel’naya Tekhnika, 2011, No. 6, pp. 49–57.

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Kuliev, S.Z. Synthesis of zonal controls of nonlinear systems under discrete observations. Aut. Conrol Comp. Sci. 45, 338–345 (2011). https://doi.org/10.3103/S014641161106006X

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  • DOI: https://doi.org/10.3103/S014641161106006X

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