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Tr. Mat. Inst. Steklova, 2019, Volume 304, Pages 235–251 (Mi tm3969)  

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

V. I. Maksimovab

a N. N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990 Russia
b Ural Federal University named after the First President of Russia B. N. Yeltsin, ul. Mira 19, Yekaterinburg, 620002 Russia

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.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 18-1-1-9
This work was supported by the comprehensive program of the Ural Branch of Russian Academy of Sciences, project no. 18-1-1-9 “Estimation of the Dynamics of Nonlinear Control Systems and Route Optimization.”


DOI: https://doi.org/10.4213/tm3969

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 304, 219–235

Bibliographic databases:

UDC: 517.977
Received: June 6, 2018
Revised: June 6, 2018
Accepted: December 7, 2018

Citation: V. I. Maksimov, “Tracking the Solution of a Nonlinear System with Partly Measured Coordinates of the State Vector”, Optimal control and differential equations, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 304, Steklov Math. Inst. RAS, Moscow, 2019, 235–251; Proc. Steklov Inst. Math., 304 (2019), 219–235

Citation in format AMSBIB
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\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin
\serial Tr. Mat. Inst. Steklova
\yr 2019
\vol 304
\pages 235--251
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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