Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-4937
Main Title: Data-driven interpolation of dynamical systems with delay
Author(s): Schulze, Philipp
Unger, Benjamin
Type: Research Paper
Language Code: en
Abstract: We present a data-driven realization for systems with delay, which generalizes the Loewner framework. The realization is obtained with low computational cost directly from measured data of the transfer function. The internal delay is estimated by solving a least-square optimization over some sample data. Our approach is validated by several examples, which indicate the need for preserving the delay structure in the reduced model.
URI: http://depositonce.tu-berlin.de/handle/11303/5243
http://dx.doi.org/10.14279/depositonce-4937
Issue Date: 2015
Date Available: 12-Jan-2016
DDC Class: DDC::500 Naturwissenschaften und Mathematik::510 Mathematik::518 Numerische Analysis
Subject(s): data-driven model reduction
delay systems
Loewner framework
moment matching
tangential interpolation
delay recovery
structure-preserving model reduction
Sponsor/Funder: DFG, SFB 1029, Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics
Usage rights: Terms of German Copyright Law
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 17
Appears in Collections:Technische Universität Berlin » Disziplinübergreifende Projekte (SFB, TR etc.) » SFB 1029 - Turbin » Publications

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