Tracking the Solution of a Nonlinear System with Partly Measured Coordinates of the State Vector


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Abstract

The problem of tracking a solution of a nonlinear system of ordinary differential equations is considered in the case of inaccurate measurement of some of the phase coordinates. A noise-immune solution algorithm for this system is proposed that is based on a combination of constructs from dynamic inversion and guaranteed control theories. The algorithm consists of two blocks: a block of dynamical reconstruction of unmeasured coordinates and a feedback control block.

About the authors

V. I. Maksimov

N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin

Author for correspondence.
Email: maksimov@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002

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