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H2-Optimal synthesis problem with. / Veremey, Evgeny I.

In: Applied Mathematical Sciences, Vol. 10, No. 37-40, 2016, p. 1891-1905.

Research output: Contribution to journal › Article › peer-review

Harvard

Veremey, EI 2016, 'H2-Optimal synthesis problem with', Applied Mathematical Sciences, vol. 10, no. 37-40, pp. 1891-1905. https://doi.org/10.12988/ams.2016.63120

APA

Veremey, E. I. (2016). H2-Optimal synthesis problem with. Applied Mathematical Sciences, 10(37-40), 1891-1905. https://doi.org/10.12988/ams.2016.63120

Vancouver

Veremey EI. H2-Optimal synthesis problem with. Applied Mathematical Sciences. 2016;10(37-40):1891-1905. https://doi.org/10.12988/ams.2016.63120

Author

Veremey, Evgeny I. / H2-Optimal synthesis problem with. In: Applied Mathematical Sciences. 2016 ; Vol. 10, No. 37-40. pp. 1891-1905.

BibTeX

@article{4cde9e65bca7469ebdbbacfa434801bd,
title = "H2-Optimal synthesis problem with",
abstract = "The paper is devoted to H2-optimization problem for LTI systems with scalar control and external disturbance and with multivariate no noisy measurement signal. This problem has a significant specific feature: its solution is no unique. Besides, the absence of the measurement noise makes this problem irregular with respect to standards of H-theory. To obtain the numerical solution, one can use traditional approaches based on the various modifications of 2-Riccati or LMI technique. Nevertheless, to increase a computational efficiency of the synthesis, it is quite appropriate to use a special spectral approach to the problem in frequency domain. A theory of this issue is presented and computational scheme is proposed for practical implementation.",
keywords = "Control system, Feedback, Functiona, H2-control, Optimization",
author = "Veremey, {Evgeny I.}",
year = "2016",
doi = "10.12988/ams.2016.63120",
language = "English",
volume = "10",
pages = "1891--1905",
journal = "Applied Mathematical Sciences",
issn = "1312-885X",
publisher = "Hikari Ltd.",
number = "37-40",

}

RIS

TY - JOUR

T1 - H2-Optimal synthesis problem with

AU - Veremey, Evgeny I.

PY - 2016

Y1 - 2016

N2 - The paper is devoted to H2-optimization problem for LTI systems with scalar control and external disturbance and with multivariate no noisy measurement signal. This problem has a significant specific feature: its solution is no unique. Besides, the absence of the measurement noise makes this problem irregular with respect to standards of H-theory. To obtain the numerical solution, one can use traditional approaches based on the various modifications of 2-Riccati or LMI technique. Nevertheless, to increase a computational efficiency of the synthesis, it is quite appropriate to use a special spectral approach to the problem in frequency domain. A theory of this issue is presented and computational scheme is proposed for practical implementation.

AB - The paper is devoted to H2-optimization problem for LTI systems with scalar control and external disturbance and with multivariate no noisy measurement signal. This problem has a significant specific feature: its solution is no unique. Besides, the absence of the measurement noise makes this problem irregular with respect to standards of H-theory. To obtain the numerical solution, one can use traditional approaches based on the various modifications of 2-Riccati or LMI technique. Nevertheless, to increase a computational efficiency of the synthesis, it is quite appropriate to use a special spectral approach to the problem in frequency domain. A theory of this issue is presented and computational scheme is proposed for practical implementation.

KW - Control system

KW - Feedback

KW - Functiona

KW - H2-control

KW - Optimization

UR - http://www.scopus.com/inward/record.url?scp=84979297874&partnerID=8YFLogxK

U2 - 10.12988/ams.2016.63120

DO - 10.12988/ams.2016.63120

M3 - Article

AN - SCOPUS:84979297874

VL - 10

SP - 1891

EP - 1905

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 37-40

ER -

ID: 9423617