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Avtomatika i Telemekhanika, 2021, Issue 1, Pages 119–130
DOI: https://doi.org/10.31857/S0005231021010062
(Mi at15392)
 

Robust, Adaptive and Network Control

Adaptive approach to solving a two-point boundary value problem under partial uncertainty in the disturbance field

S. A. Vavilov

St. Petersburg State University, St. Petersburg, 199034 Russia
References:
Abstract: We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field.
Keywords: adaptive control, two-point boundary value problems, uncertainty conditions, differential equations.
Presented by the member of Editorial Board: M. M. Khrustalev

Received: 15.11.2019
Revised: 21.06.2020
Accepted: 09.07.2020
English version:
Automation and Remote Control, 2021, Volume 82, Issue 1, Pages 93–101
DOI: https://doi.org/10.1134/S0005117921010069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Vavilov, “Adaptive approach to solving a two-point boundary value problem under partial uncertainty in the disturbance field”, Avtomat. i Telemekh., 2021, no. 1, 119–130; Autom. Remote Control, 82:1 (2021), 93–101
Citation in format AMSBIB
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\paper Adaptive approach to solving a two-point boundary value problem under partial uncertainty in the disturbance field
\jour Avtomat. i Telemekh.
\yr 2021
\issue 1
\pages 119--130
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\crossref{https://doi.org/10.31857/S0005231021010062}
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\transl
\jour Autom. Remote Control
\yr 2021
\vol 82
\issue 1
\pages 93--101
\crossref{https://doi.org/10.1134/S0005117921010069}
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  • https://www.mathnet.ru/eng/at/y2021/i1/p119
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