Vector Fitting

2019/08/23 by Piero Triverio, Triverio, Piero
Physics and Astronomy · Engineering · #Model Reduction and Neural Networks #Control Systems and Identification #Bladed Disk Vibration Dynamics

paper · pdf · doi:10.48550/arxiv.1908.08977

Abstract

We introduce the Vector Fitting algorithm for the creation of reduced-order models from the sampled response of a linear time-invariant system. This data-driven approach to reduction is particularly useful when the system under modeling is known only through experimental measurements. The theory behind Vector Fitting is presented for single- and multiple-input systems, together with numerical details, pseudocodes, and an open-source implementation. We discuss how the reduced model can be made stable and converted to a variety of forms for use in virtually any modeling context. Finally, we survey recent extensions of the Vector Fitting algorithm geared towards time-domain, parametric and distributed systems modeling.

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