@article{3387626bc77948a6b63f45bbe4d8760c,
title = "Model reduction with pole-zero placement and high order moment matching",
abstract = "In this paper, we calculate a low order model of a linear system of large dimension, that matches a set of high order moments of the transfer function and achieves pole-zero placement constraints. The model satisfying all the constraints simultaneously is selected from a family of parametrized reduced order models. The parameters are computed solving an explicit linear algebraic system. Furthermore, we construct the Loewner matrices from the given data and the imposed pole-zero and first order moment constraints. The resulting approximations achieve a trade-off between good norm approximation and the preservation of the dynamics of the given system in a region of interest. The theory is illustrated on the academic example of the cart controlled by a double pendulum and the practical example of the CD player.",
keywords = "High order moment constraints, Loewner matrices, Moment matching, Pole-zero constraints",
author = "Tudor Ionescu and Iftime, {Orest V.} and Ion Necoara",
note = "Funding Information: The research leading to these results has received funding from the NO Grants 2014?2021, under Project ELO-Hyp, contract no. 24/2020 and partially from the grant of the Romanian Ministry of Education and Research, CNCS?UEFISCDI, project number PN-III-P1-1.1-TE-2019-1614, within PNCDI III. The material in this paper was partially presented at the 2020 European Control Conference, May 12?15, 2020, Saint Petersburg, Russia. This paper was recommended for publication in revised form by Associate Editor Yasuaki Oishi under the direction of Editor Sophie Tarbouriech. Funding Information: The research leading to these results has received funding from the NO Grants 2014–2021, under Project ELO-Hyp , contract no. 24/2020 and partially from the grant of the Romanian Ministry of Education and Research , CNCS–UEFISCDI, project number PN-III-P1-1.1-TE-2019-1614 , within PNCDI III. The material in this paper was partially presented at the 2020 European Control Conference, May 12–15, 2020, Saint Petersburg, Russia. This paper was recommended for publication in revised form by Associate Editor Yasuaki Oishi under the direction of Editor Sophie Tarbouriech. Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",
year = "2022",
month = apr,
doi = "10.1016/j.automatica.2021.110140",
language = "English",
volume = "138",
journal = "Automatica",
issn = "0005-1098",
publisher = "PERGAMON-ELSEVIER SCIENCE LTD",
}