In this work, we detail a procedure to construct a reduced order model on the basis of frequency-domain data, that preserves the non-strictly passive property and the port-Hamiltonian structure. The proposed scheme is based on Benner et al. (2020) contribution, which has been adapted (i) to handle non-strictly passive model, and (ii) to handle numerical issues observed when applying the Loewner framework on complex configurations. We validate the proposed scheme on a very complex two-dimensional wave equation, for which the discretized version preserves the port-Hamiltoninan form.

翻译：本文详细阐述了一种基于频域数据构建降阶模型的方法，该模型保留非严格无源特性及端口-哈密顿结构。所提出的方案基于Benner等人(2020)的研究成果，通过改进：(i) 处理非严格无源模型；(ii) 解决将Loewner框架应用于复杂构型时出现的数值问题。我们以高度复杂的二维波动方程为例验证该方案，其离散化版本保持了端口-哈密顿形式。