Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102538
Title: Properties of solutions of dynamic control reconstruction problems
Authors: Krupennikov, E. A.
Issue Date: 2021
Publisher: IOP Publishing Ltd
Citation: Krupennikov E. A. Properties of solutions of dynamic control reconstruction problems / E. A. Krupennikov. — DOI 10.1088/1742-6596/1864/1/012034 // Journal of Physics: Conference Series. — 2021. — Vol. 1864. — Iss. 1. — 012034.
Abstract: This paper is devoted to inverse problems of the control theory, namely, the dynamic control reconstruction problem. It is the problem of online reconstruction of unknown controls (the input) using known inaccurate measurements of the realized trajectory (the output). Deterministic affine controlled systems are considered. A method for solving this problem is suggested. It relies on auxiliary variational problems on extremum of a regularized integral residual functional. The key feature of this method is using a functional which is convex in control variables and concave in state variables. Properties of the solutions obtained by this method are studied. It is shown that the obtained solutions have oscillating character and are bounded. Results of numerical simulations are provided. © Published under licence by IOP Publishing Ltd.
Keywords: PHYSICS
CONTROLLED SYSTEM
DYNAMIC CONTROLS
MEASUREMENTS OF
ONLINE RECONSTRUCTION
PROPERTIES OF SOLUTIONS
RECONSTRUCTION PROBLEMS
STATE VARIABLES
VARIATIONAL PROBLEMS
INVERSE PROBLEMS
URI: http://hdl.handle.net/10995/102538
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85107394992
PURE ID: 22112841
de878a2c-a2dd-4dfe-baf7-953e0e5c279b
ISSN: 17426588
DOI: 10.1088/1742-6596/1864/1/012034
metadata.dc.description.sponsorship: The work is supported by the Russian Foundation for Basic Research (project no. 20-01-00362 a).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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