Computational techniques for H2 optimal frequency-limited model order reduction of large-scale sparse linear systems

X Du, KIB Iqbal, MM Uddin, AM Fony… - Journal of …, 2021 - Elsevier
We consider the problem of frequency limited H 2 optimal model order reduction for large-
scale sparse linear systems. A set of first-order H 2 optimality conditions are derived for the …

Balanced truncation reduced models of quadratic‐bilinear systems in time interval

G Zhang, YL Jiang, K Xu - Asian Journal of Control, 2023 - Wiley Online Library
Accumulative error along with time impedes the application of many computational methods
on high‐precision simulation; therefore, time‐interval methods emerge. In this paper, a new …

On frequency-and time-limited μH2-optimal model order reduction

U Zulfiqar, X Du, QY Song, V Sreeram - Automatica, 2023 - Elsevier
In this paper, the problems of frequency-limited and time-limited H 2-optimal model order
reduction of linear time-invariant systems are considered within the oblique projection …

Preserving transfer-behavior in Model Order Reduction for thermoacoustic stability analysis

N Purwar, W Polifke - Journal of Sound and Vibration, 2023 - Elsevier
Thermoacoustic systems are often modeled with a hybrid approach that combines separate
models for acoustic propagation and flame dynamics. Model Order Reduction (MOR) may …

Relative error-based time-limited H2 model order reduction via oblique projection

U Zulfiqar, X Du, QY Song, ZH Xiao… - Journal of the Franklin …, 2024 - Elsevier
In time-limited model order reduction, a reduced-order approximation of the original high-
order model is obtained that accurately approximates the original model within the desired …

H2 near-optimal projection methods for finite-horizon model order reduction

U Zulfiqar - 2021 - research-repository.uwa.edu.au
This thesis investigates the H 2-optimal model order reduction problem within finite time and
frequency intervals. Several oblique projection-based algorithms are proposed that …

Time- and frequency-limited H2-optimal model order reduction of bilinear control systems

U Zulfiqar, V Sreeram, M Ilyas Ahmad… - International Journal of …, 2021 - Taylor & Francis
In the time-and frequency-limited model order reduction, a reduced-order approximation of
the original high-order model is sought to ensure superior accuracy in some desired time …

[HTML][HTML] A computationally effective time-restricted stability preserving H2-optimal model order reduction approach

X Du, KIB Iqbal, MM Uddin, MT Hossain… - Results in Control and …, 2023 - Elsevier
Several approaches for reducing model order on the definite time segments have become
the topic of investigation in a series of papers that bring challenges during application in a …

Near-optimal interpolation-based time-limited model order reduction

K Das, S Krishnaswamy, S Majhi - International Journal of Control, 2024 - Taylor & Francis
This paper presents an interpolatory framework for model order reduction of linear time-
invariant (LTI) systems over limited time intervals of the form [0, τ], with τ<∞. We give a new …

H2 Optimal Model Order Reduction Over a Finite Time Interval

K Das, S Krishnaswamy, S Majhi - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
For a time-limited H 2 cost function defined over a finite time interval, we obtain analytical
expressions of the gradients using a gramian framework. The time-limited H 2 optimal model …