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Main Title: Data-driven Structured Realization
Author(s): Schulze, Philipp
Unger, Benjamin
Beattie, Christopher
Gugercin, Serkan
Type: Research Paper
Abstract: We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form $C(\sum_{k=1}^K h_k(s)A_k)^{-1}B$ where $h_1, h_2, ..., h_K$ are prescribed functions that specify the surmised structure of the model. Our construction is data-driven in the sense that an interpolant is derived entirely from measurements of a transfer function. Our approach extends the Loewner realization framework to more general system structure that includes second-order (and higher) systems as well as systems with internal delays. Numerical examples demonstrate the advantages of this approach.
Subject(s): structured realization
data-driven model reduction
delay system
second-order system
Issue Date: 1-Nov-2016
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93B15 Realizations from input-output data
30E05 Moment problems, interpolation problems
93C05 Linear systems
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2016, 23
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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