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.
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.
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.
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.
no code implementations • 6 Feb 2021 • Umair Zulfiqar, Victor Sreeram, Xin Du
Moreover, stationary point iteration algorithms that satisfy two out of three necessary conditions for the local minimizer are also proposed.
no code implementations • 17 Jan 2021 • Umair Zulfiqar, Victor Sreeram, Mian Ilyas Ahmad, Xin Du
In this paper, a projection-based model order reduction algorithm is proposed that constructs reduced-order models that nearly satisfy the first-order optimality conditions for the frequency-weighted H2-optimal model order reduction problem.
no code implementations • 26 Nov 2019 • Umair Zulfiqar, Victor Sreeram, Xin Du
In this paper, we present an adaptive framework for constructing a pseudo-optimal reduced model for the frequency-limited H2-optimal model order reduction problem.