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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 2, Pages 194–206
DOI: https://doi.org/10.7868/S004446691502012X (Mi zvmmf10150) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotics of the solution to a singularly perturbed linear-quadratic optimal control problem

A. I. Kalinin, L. I. Lavrinovich

Belarusian State University, pr. Nezavisimosti 4, Minsk, 220030, Belarus
Full-text PDF (839 kB) Citations (4)
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DOI: https://doi.org/10.7868/S004446691502012X
Abstract: The optimization of a transient process in a linear singularly perturbed system is considered. The goal is to find an admissible control that minimizes an integral quadratic cost functional. Asymptotic approximations to optimal open-loop and feedback controls are constructed for this problem. The basic advantage of the algorithms proposed is that the original optimal control problem splits into two unperturbed problems of lower dimension.
Key words: optimal control, linear system, quadratic functional, singular perturbations, asymptotic approximations, suboptimal synthesis.
Received: 26.06.2014
Revised: 04.08.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 2, Pages 194–205
DOI: https://doi.org/10.1134/S0965542515020128
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. I. Kalinin, L. I. Lavrinovich, “Asymptotics of the solution to a singularly perturbed linear-quadratic optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015), 194–206; Comput. Math. Math. Phys., 55:2 (2015), 194–205
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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