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Reconstruction of Unknown Disturbances When Measuring Part of Phase Coordinates

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Abstract

We consider the problem of dynamic reconstruction of unknown input actions of a system of nonlinear equations based on inaccurate measurements of part of the phase states of the system taken at discrete times. It is assumed that the system operates on a given finite time horizon. The evolution of the phase state of the system is determined by an unknown input. An exact reconstruction of the true input acting on the system is, generally speaking, impossible due to the measurement error. We present an algorithm for approximate input reconstruction that is based on combining dynamic versions of the smoothing functional method and the residual method and is a special regularizing algorithm for one of the versions of the inverse problem of dynamics.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620108, Russia

    M. S. Blizorukova

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  1. M. S. Blizorukova
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Correspondence to M. S. Blizorukova.

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Translated by V. Potapchouck

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Blizorukova, M.S. Reconstruction of Unknown Disturbances When Measuring Part of Phase Coordinates. Diff Equat 58, 415–423 (2022). https://doi.org/10.1134/S0012266122030119

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  • DOI: https://doi.org/10.1134/S0012266122030119

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