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Linear Parameter Interpolation of a Program Control in the Approach Problem

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We study the approach problem for a control system containing an unknown constant parameter an approximate value of which is reported at the initial time moment. For a resolving program control we propose to take a linear interpolation on the domain of possible values of the parameter. The resolving controls are constructed as convex linear combinations of nodal program controls calculated at the nodal values of the parameter. The nodal program controls are constructed by separating controls into the main and correcting ones. We obtain an error estimate in the form of an estimate for the distance between the terminal state of the system and the target set.

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Authors and Affiliations

  1. N. N. Krasovskii Institute of Mathematics and Mechanics, UB RAS, 16, Kovalevskaya St, Ekaterinburg, 620108, Russia

    A. A. Ershov

  2. Ural Federal University, 19, Mira St, Ekaterinburg, 620002, Russia

    A. A. Ershov

Authors
  1. A. A. Ershov
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Correspondence to A. A. Ershov.

Additional information

Translated from Problemy Matematicheskogo Analiza 113, 2022, pp. 17-27.

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Ershov, A.A. Linear Parameter Interpolation of a Program Control in the Approach Problem. J Math Sci 260, 725–737 (2022). https://doi.org/10.1007/s10958-022-05724-z

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  • DOI: https://doi.org/10.1007/s10958-022-05724-z

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