Linear Systems

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

E. N. Rozenwasser^a, B. P. Lampe^b, W. Drewelow^b, T. Jeinsch<sup>b

a</sup> State University of Ocean Technology, St. Petersburg, Russia
^b University of Rostock, Rostock, Germany

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

DOI: 10.31857/S000523102001002X

 English version: Automation and Remote Control, 2020, 81:1, 13–26

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