M. V. Khlebnikov, P. S. Shcherbakov, V. N. Chestnov, “Linear-quadratic regulator. I. A new solution”, Avtomat. i Telemekh., 2015, no. 12, 65–79; Autom. Remote Control, 76:12 (2015), 2143

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Avtomatika i Telemekhanika, 2015, Issue 12, Pages 65–79 (Mi at14329)

This article is cited in 14 scientific papers (total in 14 papers)

Linear Systems

Linear-quadratic regulator. I. A new solution

M. V. Khlebnikov, P. S. Shcherbakov, V. N. Chestnov

Trapeznikov Institute of Control Sciences, Russian Academy of Science, Moscow, Russia

Full-text PDF (243 kB) Citations (14)

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Abstract: In this paper, the classical linear-quadratic regulator problem is solved via use of the linear matrix inequality technique. This approach is shown to yield the optimal solution obtained by using the matrix Riccati equation. Various undesirable effects are discussed, which may appear when applying other solution methods known from the literature; numerical examples are presented.

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 31.12.2013

English version:
Automation and Remote Control, 2015, Volume 76, Issue 12, Pages 2143–2155
DOI: https://doi.org/10.1134/S0005117915120048

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: M. V. Khlebnikov, P. S. Shcherbakov, V. N. Chestnov, “Linear-quadratic regulator. I. A new solution”, Avtomat. i Telemekh., 2015, no. 12, 65–79; Autom. Remote Control, 76:12 (2015), 2143–2155

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/at14329

https://www.mathnet.ru/eng/at/y2015/i12/p65

Cycle of papers

Linear-quadratic regulator. I. A new solution
M. V. Khlebnikov, P. S. Shcherbakov, V. N. Chestnov
Avtomat. i Telemekh., 2015:12, 65–79
Linear quadratic regulator: II. Robust formulations
M. V. Khlebnikov, P. S. Shcherbakov
Avtomat. i Telemekh., 2019:10, 115–131

This publication is cited in the following 14 articles:

Sebastian A. Nugroho, Ahmad F. Taha, “Load- and Renewable-Following Control of Linearization-Free Differential Algebraic Equation Power System Models”, IEEE Trans. Contr. Syst. Technol., 31:4 (2023), 1774
P. Bezmen, “A CONTROL SYSTEM ON A CONTROLLED OBJECT STATE WITH AN OBSERVER AND A STATE REGULATOR”, Bulletin of Belgorod State Technological University named after. V. G. Shukhov, 8:1 (2023), 102
O. V. Anikeeva, A. G. Ivakhnenko, O. Yu. Erenkov, K. V. Podmasteryev, Lecture Notes in Mechanical Engineering, Proceedings of the 8th International Conference on Industrial Engineering, 2023, 381
B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Linear matrix inequalities in control systems with uncertainty”, Autom. Remote Control, 82:1 (2021), 1–40
V. A. Srochko, E. V. Aksenyushkina, V. G. Antonik, “Reshenie lineino-kvadratichnoi zadachi optimalnogo upravleniya na osnove konechnomernykh modelei”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 37 (2021), 3–16
Fatkhullin I. Polyak B., “Optimizing Static Linear Feedback: Gradient Method”, SIAM J. Control Optim., 59:5 (2021), 3887–3911
Zwilgmeyer Peder Georg Olofsson, Yip M., Teigen A.L., Mester R., Stahl A., “The Varos Synthetic Underwater Data Set: Towards Realistic Multi-Sensor Underwater Data With Ground Truth”, 2021 IEEE/Cvf International Conference on Computer Vision Workshops (Iccvw 2021), IEEE International Conference on Computer Vision Workshops, IEEE Computer Soc, 2021, 3715–3723
A. Kumar, T. Jain, “Some insights on synthesizing optimal linear quadratic controllers using krotov sufficient conditions”, IEEE Control Syst. Lett., 4:2 (2020), 486–491
M. V. Khlebnikov, P. S. Shcherbakov, “Linear quadratic regulator: II. Robust formulations”, Autom. Remote Control, 80:10 (2019), 1847–1860
A. I. Gluschenko, “Adaptivnyi neirosetevoi nastroischik pid-regulyatora dlya upravleniya nagrevatelnymi pechami”, Probl. upravl., 2 (2019), 60–69
A. Bykov, P. S. Shcherbakov, “Sparse feedback design in discrete-time linear systems”, Autom. Remote Control, 79:7 (2018), 1175–1190
A. V. Bykov, P. S. Scherbakov, “Approksimatsii matrichnoi $l_0$ -kvazinormy pri sinteze razrezhennykh regulyatorov: chislennye issledovaniya effektivnosti”, UBS, 68 (2017), 47–73
M. Bazrafshan, N. Gatsis, A. F. Taha, J. A. Taylor, “Augmenting the optimal power flow for stability”, IEEE 55Th Conference on Decision and Control CDC 2016, IEEE, 2016, 4104–4109
Mohammadhafez Bazrafshan, Nikolaos Gatsis, Ahmad F. Taha, Josh A. Taylor, 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, 4104

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	77
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