H∞-Optimal synthesis problem with nonunique solution

Standard

H∞-Optimal synthesis problem with nonunique solution. / Veremey, E. I.; Knyazkin, Y. V.

In: CEUR Workshop Proceedings, Vol. 2064, 01.01.2017, p. 270-276.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{58f2387ceebe4fe2bd88a04562631b52,

title = "H∞-Optimal synthesis problem with nonunique solution",

abstract = "This paper is devoted to H∞-optimization problem for LTI systems with scalar control and external disturbance signals and with no noisy multivariate measurement signal. The solution of this problem is not unique, that provides possibility to construct the controller with desired structure and additional properties. Besides, the absence of the measurement noise makes solution of this problem with implementation of standard H-Theory methods, such as various modifications of 2-Riccati or LMI technique, impossible. A special analytical spectral approach in frequency domain based on polynomial factorization can be used that increases computational efficiency. Its theoretical description and example of practical implementation are presented in this paper.",

keywords = "Control law, H∞-optimization, Parametrization, Stability.",

author = "Veremey, {E. I.} and Knyazkin, {Y. V.}",

year = "2017",

month = jan,

day = "1",

language = "English",

volume = "2064",

pages = "270--276",

journal = "CEUR Workshop Proceedings",

issn = "1613-0073",

publisher = "RWTH Aahen University",

note = "2nd International Scientific Conference {"}Convergent Cognitive Information Technologies{"}, Convergent 2017 ; Conference date: 24-11-2017 Through 26-11-2017",

}

RIS

TY - JOUR

T1 - H∞-Optimal synthesis problem with nonunique solution

AU - Veremey, E. I.

AU - Knyazkin, Y. V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This paper is devoted to H∞-optimization problem for LTI systems with scalar control and external disturbance signals and with no noisy multivariate measurement signal. The solution of this problem is not unique, that provides possibility to construct the controller with desired structure and additional properties. Besides, the absence of the measurement noise makes solution of this problem with implementation of standard H-Theory methods, such as various modifications of 2-Riccati or LMI technique, impossible. A special analytical spectral approach in frequency domain based on polynomial factorization can be used that increases computational efficiency. Its theoretical description and example of practical implementation are presented in this paper.

AB - This paper is devoted to H∞-optimization problem for LTI systems with scalar control and external disturbance signals and with no noisy multivariate measurement signal. The solution of this problem is not unique, that provides possibility to construct the controller with desired structure and additional properties. Besides, the absence of the measurement noise makes solution of this problem with implementation of standard H-Theory methods, such as various modifications of 2-Riccati or LMI technique, impossible. A special analytical spectral approach in frequency domain based on polynomial factorization can be used that increases computational efficiency. Its theoretical description and example of practical implementation are presented in this paper.

KW - Control law

KW - H∞-optimization

KW - Parametrization

KW - Stability.

UR - http://www.scopus.com/inward/record.url?scp=85044542926&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85044542926

VL - 2064

SP - 270

EP - 276

JO - CEUR Workshop Proceedings

JF - CEUR Workshop Proceedings

SN - 1613-0073

T2 - 2nd International Scientific Conference "Convergent Cognitive Information Technologies", Convergent 2017

Y2 - 24 November 2017 through 26 November 2017

ER -

ID: 41724059