Author(s) :
Philipp Schulze
,
Benjamin Unger
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 17-2015
MSC 2000
- 93A30 Mathematical modeling
-
37M99 None of the above, but in this section
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.
Keywords :
Data-driven model reduction, delay systems, Loewner framework, moment matching, tangential interpolation, delay recovery, structure-preserving model reduction