Pub Date : 2024-02-01DOI: 10.1109/ANZCC59813.2024.10432826
Kumari Kanchan, Deepak Kumar, V. Sreeram
Model order reduction (MOR) is an approach that provides a lower-order system for a given higher-order system. Sometimes, specific frequency restrictions constitute a significant focus for practical applications, such as controller and filter designs that lead to frequency-limited MOR. Gwaronski and Juang were the first to propose a method for frequency-limited MOR. However, this method suffers from instability issues. Hence, this paper presents a new algorithm to overcome the instability issue and provide lower approximation error for the specified frequency range than existing methods. Two numerical examples are included to exhibit the benefits of the suggested approach. An eigenvalue analysis for the reduced-order models is also done to show the stability of the obtained reduced models.
模型阶次缩减（MOR）是一种为给定的高阶系统提供低阶系统的方法。有时，特定的频率限制是实际应用中的一个重要焦点，如控制器和滤波器设计会导致限频 MOR。Gwaronski 和 Juang 最早提出了限频 MOR 方法。然而，这种方法存在不稳定性问题。因此，本文提出了一种新算法来克服不稳定性问题，并在指定频率范围内提供比现有方法更低的近似误差。本文包含两个数值示例，以展示所建议方法的优势。本文还对简化阶模型进行了特征值分析，以显示所获得的简化模型的稳定性。
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