Frequency limited model reduction techniques with error bounds

M Imran, A Ghafoor - … Transactions on Circuits and Systems II …, 2017 - ieeexplore.ieee.org
The main issue with the pioneer frequency limited interval Gramian-based technique by
Gawronski and Jaung is that it yields unstable reduced order models. There exist some …

Confined frequency-interval Gramian framework-based balanced model reduction

V Sharma, D Kumar - IETE Journal of Research, 2024 - Taylor & Francis
Some of the existent frequency-limited model reduction techniques result in unstable
reduced-order models (ROMs). Further, the ROMs of a few methods differ significantly from …

Wave analysis of in-plane vibrations of H-and T-shaped planar frame structures

C Mei - 2008 - asmedigitalcollection.asme.org
This paper concerns in-plane vibration analysis of coupled bending and longitudinal
vibrations in H-and T-shaped planar frame structures. An exact analytical solution is …

Factorization‐based frequency‐weighted optimal Hankel‐norm model reduction

D Kumar, V Sreeram - Asian Journal of Control, 2020 - Wiley Online Library
In this paper, we present frequency‐weighted optimal Hankel‐norm model reduction
algorithms for linear time‐invariant continuous‐time systems by representing an original …

Improved results on frequency‐weighted balanced truncation and error bounds

V Sreeram, S Sahlan - … Journal of Robust and Nonlinear Control, 2012 - Wiley Online Library
In this paper, we present some new results on frequency‐weighted balanced truncation
which is a significant improvement on Lin and Chiu's frequency‐weighted balanced …

Frequency limited model reduction techniques for discrete-time systems

HI Toor, M Imran, A Ghafoor, D Kumar… - … on Circuits and …, 2019 - ieeexplore.ieee.org
The main drawback of pioneer frequency limited Gramians-based technique by Wang and
Zilouchain for discrete time system is that it yields unstable reduced order models (ROMs) of …

Improved model order reduction techniques with error bounds

S Bashrat, M Imran, S Akram, A Wakeel… - … Journal of Systems …, 2024 - Taylor & Francis
This paper introduces two enhanced model order reduction techniques designed for
scenarios involving frequency-weighted and frequency-limited-interval Gramians in the …

Partial-fraction expansion based frequency weighted model reduction technique with error bounds

A Ghafoor, V Sreeram - IEEE Transactions on Automatic …, 2007 - ieeexplore.ieee.org
In this technical note, we present a new frequency weighted balancing related technique
which is based on a parametrized combination of the unweighted balanced truncation …

SVD-based frequency weighted model order reduction of continuous-time systems

V Sharma, D Kumar - … on Power Electronics, Drives and Energy …, 2022 - ieeexplore.ieee.org
Some conventional frequency-weighted model reduction methods yield unstable reduced-
order models (ROM) even for originally stable systems. Further, in some instances, existing …

Frequency weighted model reduction technique with error bounds

V Sreeram, A Ghafoor - Proceedings of the 2005, American …, 2005 - ieeexplore.ieee.org
In this paper, we present a new frequency weighted balanced related technique which is
based on a parametrized combination of the unweighted balanced technique [Moore, BC …