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Avtomatika i Telemekhanika, 2020, Issue 1, Pages 17–33
DOI: https://doi.org/10.31857/S000523102001002X (Mi at15416) 		 
Linear Systems

Standardizability and $H_2$-optimization of a single-loop multidimensional sampled-data system with multiple delays

E. N. Rozenwassera, B. P. Lampeb, W. Drewelowb, T. Jeinschb

a State University of Ocean Technology, St. Petersburg, Russia
b University of Rostock, Rostock, Germany
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DOI: https://doi.org/10.31857/S000523102001002X
Abstract: A single-loop multidimensional sampled-data system containing three elements with pure delay is considered. Sufficient conditions for the standardizability of the system $S_0$ are established; under these conditions, the $H_2$-optimization problem of the system $S_0$ is reduced to the simpler $H_2$-optimization problem of some equivalent sampled-data system containing one element with pure delay. The set of fixed poles of the $H_2$-optimal system $S_0$ is constructed.
Keywords: single-loop multidimensional sampled-data system with delay, standardizability, $H_2$-optimization, fixed poles.
Presented by the member of Editorial Board: A. A. Bobtsov

Received: 01.03.2019
Revised: 29.04.2019
Accepted: 18.07.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 1, Pages 13–26
DOI: https://doi.org/10.1134/S0005117920010026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. N. Rozenwasser, B. P. Lampe, W. Drewelow, T. Jeinsch, “Standardizability and $H_2$-optimization of a single-loop multidimensional sampled-data system with multiple delays”, Avtomat. i Telemekh., 2020, no. 1, 17–33; Autom. Remote Control, 81:1 (2020), 13–26
Citation in format AMSBIB
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