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Avtomatika i Telemekhanika, 2021, Issue 12, Pages 48–72
DOI: https://doi.org/10.31857/S0005231021120047 (Mi at15852) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Linear Systems

On sufficient optimality conditions for a guaranteed control in the speed problem for a linear time-varying discrete-time system with bounded control

D. N. Ibragimov, N. M. Novozhilkin, E. Yu. Porceva

Moscow Aviation Institute, Moscow, 125993 Russia
Full-text PDF (592 kB) Citations (14)
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DOI: https://doi.org/10.31857/S0005231021120047
Abstract: We consider the solution of the speed problem for linear time-varying discrete-time systems with convex control constraints. A method is proposed for reducing the general case of the speed problem to the case of linear control constraints using polyhedral approximation algorithms. Sufficient optimality conditions for the guaranteed solution are stated and proved. Examples are given. Based on the methods obtained, the speed-optimal damping problem for a high-rise structure located in a seismic activity zone is solved.
Keywords: discrete-time control system, speed problem, optimal positional control, linear programming problem, controllability set, convex polyhedron, polyhedral approximation.
Funding agency Grant number
Russian Foundation for Basic Research 18-08-00128_а
This work was financially supported by the Russian Foundation for Basic Research, project no. 18-08-00128-a.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 21.06.2020
Revised: 03.06.2021
Accepted: 30.06.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 12, Pages 2076–2096
DOI: https://doi.org/10.1134/S000511792112002X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. N. Ibragimov, N. M. Novozhilkin, E. Yu. Porceva, “On sufficient optimality conditions for a guaranteed control in the speed problem for a linear time-varying discrete-time system with bounded control”, Avtomat. i Telemekh., 2021, no. 12, 48–72; Autom. Remote Control, 82:12 (2021), 2076–2096
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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