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.
@article{arxiv.2104.10767,
title = {Reduced-order modeling of LPV systems in the Loewner framework},
author = {Ion Victor Gosea and Mihaly Petreczky and Athanasios C. Antoulas},
journal= {arXiv preprint arXiv:2104.10767},
year = {2021}
}