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Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems. / Veremey, Evgeny I.

In: International Journal of Automation and Computing, Vol. 16, No. 1, 02.2019, p. 112-128.

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

Harvard

Veremey, EI 2019, 'Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems', International Journal of Automation and Computing, vol. 16, no. 1, pp. 112-128. https://doi.org/10.1007/s11633-017-1110-y

APA

Veremey, E. I. (2019). Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems. International Journal of Automation and Computing, 16(1), 112-128. https://doi.org/10.1007/s11633-017-1110-y

Vancouver

Veremey EI. Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems. International Journal of Automation and Computing. 2019 Feb;16(1):112-128. https://doi.org/10.1007/s11633-017-1110-y

Author

Veremey, Evgeny I. / Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems. In: International Journal of Automation and Computing. 2019 ; Vol. 16, No. 1. pp. 112-128.

BibTeX

@article{df3c879ed0d5466db9bbb72a9363d6a6,
title = "Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems",
abstract = "The paper is devoted to H-optimization problems for linear time invariant (LTI) systems with scalar control, external disturbance and measurement noise. All these problems can be numerically solved with the help of the well-known universal approaches based on Riccati equations, linear matrix inequalities (LMI) or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to increase the computational efficiency of synthesis using a special spectral approach to the above mentioned problems in frequency domain. Some relevant details are discussed and efficient numerical algorithms are proposed for the practical implementation of spectral approach. One of its virtues is a possibility to present optimal solutions in a specific form, which is convenient for investigation.",
keywords = "H-optimization, performance index, spectral approach, Stabilizing controller, synthesis, CONTROL LAWS",
author = "Veremey, {Evgeny I.}",
year = "2019",
month = feb,
doi = "10.1007/s11633-017-1110-y",
language = "English",
volume = "16",
pages = "112--128",
journal = "International Journal of Automation and Computing",
issn = "1476-8186",
publisher = "Chinese Academy of Sciences",
number = "1",

}

RIS

TY - JOUR

T1 - Special Spectral Approach to Solutions of SISO LTI H-Optimization Problems

AU - Veremey, Evgeny I.

PY - 2019/2

Y1 - 2019/2

N2 - The paper is devoted to H-optimization problems for linear time invariant (LTI) systems with scalar control, external disturbance and measurement noise. All these problems can be numerically solved with the help of the well-known universal approaches based on Riccati equations, linear matrix inequalities (LMI) or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to increase the computational efficiency of synthesis using a special spectral approach to the above mentioned problems in frequency domain. Some relevant details are discussed and efficient numerical algorithms are proposed for the practical implementation of spectral approach. One of its virtues is a possibility to present optimal solutions in a specific form, which is convenient for investigation.

AB - The paper is devoted to H-optimization problems for linear time invariant (LTI) systems with scalar control, external disturbance and measurement noise. All these problems can be numerically solved with the help of the well-known universal approaches based on Riccati equations, linear matrix inequalities (LMI) or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to increase the computational efficiency of synthesis using a special spectral approach to the above mentioned problems in frequency domain. Some relevant details are discussed and efficient numerical algorithms are proposed for the practical implementation of spectral approach. One of its virtues is a possibility to present optimal solutions in a specific form, which is convenient for investigation.

KW - H-optimization

KW - performance index

KW - spectral approach

KW - Stabilizing controller

KW - synthesis

KW - CONTROL LAWS

UR - http://www.scopus.com/inward/record.url?scp=85044208577&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/special-spectral-approach-solutions-siso-lti-hoptimization-problems

U2 - 10.1007/s11633-017-1110-y

DO - 10.1007/s11633-017-1110-y

M3 - Article

AN - SCOPUS:85044208577

VL - 16

SP - 112

EP - 128

JO - International Journal of Automation and Computing

JF - International Journal of Automation and Computing

SN - 1476-8186

IS - 1

ER -

ID: 41724002