Frequency-weighted ℌ2-pseudo-optimal model order reduction

• DOI: 10.1093/imamci/dnab003
• Publication Date: 2021-01-13T05:21:04Z
• Authors: Umair Zulfiqar; Victor Sreeram; Mian Ilyas Ahmad; Xin Du
• Keywords: Model order reduction

Abstract The frequency-weighted model order reduction techniques are used to find a lower-order approximation of the high-order system that exhibits high-fidelity within frequency region emphasized by weights. In this paper, we investigate $\mathcal{H}_2$-pseudo-optimal problem wherein subset optimality conditions for local optimum is attempted be satisfied. We propose two iteration-free algorithms, single-sided case $\mathcal{H}_2$-model reduction, where ensured reduced system. addition, systems retain stability property original also present an iterative algorithm double-sided case, which constructs reduced-order tends satisfy first-order optimum. proposed computationally efficient as compared existing algorithms. validate theory developed in paper on three numerical examples.