Loewner Framework

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The Loewner Framework is a frequency-domain system identification and model reduction method, named after Charles Loewner, who introduced the Loewner Matrix which is essential to this method.

Introduction

Model order reduction is commonly used to simulate and control complex physical processes. This is done by replacing the large-scale system model described in terms of differential equations by a system of much lower dimension that has similar response characteristics. In many situations, a model (the collection of differential equations written in matrix format) for the underlying dynamical process is not explicitly available. Hence, the system matrix realization can not be directly obtained. Instead, a black box is provided that produces input-output measurements. These situations include VLSI modeling from chips or real time simulation of multi-body dynamics with constraints.