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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 304, Pages 235–251
DOI: https://doi.org/10.4213/tm3969 (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
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DOI: https://doi.org/10.4213/tm3969
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.”
Received: June 6, 2018
Revised: June 6, 2018
Accepted: December 7, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 304, Pages 219–235
DOI: https://doi.org/10.1134/S0081543819010152
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
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, Trudy 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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\by V.~I.~Maksimov
\paper Tracking the Solution of a Nonlinear System with Partly Measured Coordinates of the State Vector
\inbook Optimal control and differential equations
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 304
\pages 235--251
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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