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Avtomatika i Telemekhanika, 2020, Issue 6, Pages 29–46
DOI: https://doi.org/10.31857/S0005231020060037 (Mi at15199) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

Asymptotic approximations to the solution of the singularly perturbed linear-quadratic optimal control problem with terminal path constraints

A. I. Kalinin, L. I. Lavrinovich

Belarusian State University, Minsk, Belarus
Full-text PDF (241 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231020060037
Abstract: The minimum-energy control problem for a linear singularly perturbed system with linear constraints imposed on the right endpoint of the trajectories is considered. Asymptotic approximations in the form of open loop and feedback controls to the optimal control (solution of this problem) are constructed. The main advantage of the algorithms proposed below consists in the decomposition of the original problem into two unperturbed optimal control problems of smaller dimension.
Keywords: optimal control, linear system, quadratic performance criterion, singular perturbations, asymptotic approximations, suboptimal feedback design.
Presented by the member of Editorial Board: M. M. Khrustalev

Received: 27.02.2019
Revised: 23.07.2019
Accepted: 28.11.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 6, Pages 988–1002
DOI: https://doi.org/10.1134/S0005117920060041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Kalinin, L. I. Lavrinovich, “Asymptotic approximations to the solution of the singularly perturbed linear-quadratic optimal control problem with terminal path constraints”, Avtomat. i Telemekh., 2020, no. 6, 29–46; Autom. Remote Control, 81:6 (2020), 988–1002
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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