Reconstruction of Disturbances in a Nonlinear System from Measurements of Some of the State-Vector Coordinates


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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.

About the authors

V. I. Maksimov

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences; Ural Federal University

Author for correspondence.
Email: maksimov@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002

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