Frequency-limited H$_2$ Model Order Reduction Based on Relative Error

no code implementations • 20 Dec 2022 • Umair Zulfiqar, Xin Du, Qiuyan Song, Zhi-Hua Xiao, Victor Sreeram

Relative error, which represents the percentage error, becomes particularly relevant when reducing a plant model for the purpose of designing a reduced-order controller.

H2 Model Order Reduction: A Relative Error Setting

no code implementations • 20 Dec 2022 • Umair Zulfiqar, Xin Dua, Qiuyan Song, Muwahida Liaquat, Victor Sreeram

In dynamical system theory, the process of obtaining a reduced-order approximation of the high-order model is called model order reduction.

Relative Error-based Time-limited H2 Model Order Reduction via Oblique Projection

no code implementations • 16 Dec 2022 • Umair Zulfiqar, Xin Du, Qiuyan Song, Zhi-Hua Xiao, Victor Sreeram

Inspired by these conditions, an oblique projection algorithm is proposed that ensures small H2-norm relative error within the desired time interval.