Reduced-order modeling of LPV systems in the Loewner framework

TL;DR

This paper introduces a novel model reduction technique for LPV systems using Loewner matrices, enabling frequency domain matching of original and reduced models, extending the Loewner framework to LPV contexts.

Contribution

It extends the Loewner framework to LPV systems with affine parameter dependence, allowing frequency domain model reduction.

Findings

Enables frequency domain matching for LPV model reduction

Uses Loewner-like matrices derived from frequency response

Extends the Loewner framework to LPV systems

Abstract

We propose a model reduction method for LPV systems. We consider LPV state-space representations with an affine dependence on the scheduling variables. The main idea behind the proposed method is to compute the reduced order model in such a manner that its frequency domain transfer function coincides with that of the original model for some frequencies. The proposed method uses Loewner-like matrices, which can be calculated from the frequency domain representation of the system. The contribution of the paper represents an extension of the well-established Loewner framework to LPV models.