Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates

Model Reduction by Rational Interpolation

The last two decades have seen major developments in interpolatory methods for model reduction of large-scale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at modest cost; refined methods for deriving interpolatory reduced models directly from input/output measurements; and extensions for the reduction of parametrized systems. This ch...

Non-parametric frequency response estimation using a local rational model

A review of the relationship between the frequency response function of linear system and the DFT of the input and output signals show that the output DFT is a sum of two terms. The first term contain the FRF multiplied with the input DFT and the second term capture the effect when the system is not operating in a periodic fashion. The utilization of these two terms when performing non-parametr...

Parametric Identification of Frequency Domain Systems Using Orthonormal Rational Bases

This paper presents a new robust algorithm for the identification of linear time-invariant systems in the frequency domain. The method is computationally very efficient, and accurately synthesises transfer functions which require a large amount of poles. Some numerical difficulties are avoided by combining the use of a Sanathanan-Koerner iteration and orthonormal rational functions.

Interpolation-based Parametric Model Order Reduction for Elastic Multibody Systems

The consideration of elastic effects as well as nonlinear rigid body motions makes the description of mechanical systems by elastic multibody systems (EMBS) a powerful tool in the development process. Due to the fine spatial discretization of the elastic continuum, the reduction of the elastic degrees of freedom is necessary. This essential step to enable efficient EMBS simulations can be execu...

Interpolation-based Parametric Model Reduction using Krylov Subspaces