Balanced Truncation of Linear Systems with Quadratic Outputs in Limited Time and Frequency Intervals

no code implementations • 18 Feb 2024 • Qiu-Yan Song, Umair Zulfiqar, Zhi-Hua Xiao, Mohammad Monir Uddin, Victor Sreeram

To that end, limited interval system Gramians are defined, and the corresponding generalized Lyapunov equations governing their computation are derived.

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.

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.