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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 11, Pages 1836–1845 (Mi zvmmf10977)

This article is cited in 6 papers

Reconstruction of disturbances in a nonlinear system from measurements of some of the state-vector coordinates

V. I. Maksimovab

a Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620990 Russia
b Ural Federal University, Yekaterinburg, 620002 Russia

Abstract: The problem of reconstructing an unknown disturbance of a nonlinear system of ordinary differential equations from inexact measurements of some of the state coordinates is considered. A solution algorithm robust to noises is proposed that combines constructions of dynamic inversion and guaranteed control theories. The algorithm consists of two blocks: one dynamically reconstructs the unmeasured coordinates and the other reconstructs the disturbance.

Key words: reconstruction algorithm, part of coordinates.

UDC: 517.977

Received: 31.05.2019
Revised: 31.05.2019
Accepted: 08.07.2019

DOI: 10.1134/S0044466919110097


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:11, 1771–1780

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