Frequency-weighted ℋ2-optimal model order reduction via oblique projection

U Zulfiqar, V Sreeram, MI Ahmad… - International Journal of …, 2022 - Taylor & Francis
In projection-based model order reduction, a reduced-order approximation of the original full-
order system is obtained by projecting it onto a reduced subspace that contains its dominant …

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 for reduced‐order modeling of Piezoelectric Tonpilz Transducer on the limited frequency interval

KIB Iqbal, X Du, MM Uddin, MF Uddin - Applied Mathematical Modelling, 2022 - Elsevier
Abstract Piezoelectric based Tonpilz Transducer is a mechatronics control device that works
on high-power sound propagation to navigate or detect objects under the water. In order to …

Dimension reduction based on approximate gramians via Laguerre polynomials for coupled systems

ZZ Qi, ZH Xiao, JW Yuan - IMA Journal of Mathematical Control …, 2024 - academic.oup.com
In this paper, we focus on the topic of model order reduction (MOR) for coupled systems. At
first, an approximation via Laguerre polynomials expansions to controllability and …

Stochastic Optimization of Large-Scale Parametrized Dynamical Systems

PD Boef, J Maubach, W Schilders… - arXiv preprint arXiv …, 2023 - arxiv.org
Many relevant problems in the area of systems and control, such as controller synthesis,
observer design and model reduction, can be viewed as optimization problems involving …

Conditions for existence of second-order and third-order filters for discrete systems with additive noises

M Kamenshchikov - Mathematics, 2022 - mdpi.com
The problem of constructing functional optimal observers (filters) for stochastic control
systems with additive noises in discrete time are studied in this work. Under the assumption …

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 …

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 …

H2 model order reduction: A relative error setting

U Zulfiqar, X Du, QY Song, M Liaquat… - Systems & Control Letters, 2024 - Elsevier
In dynamical system theory, the process of obtaining a reduced-order approximation of the
high-order model is called model order reduction. The closeness of the reduced-order …

[PDF][PDF] Conditions for Existence of Second-Order and Third-Order Filters for Discrete Systems with Additive Noises. Mathematics 2022, 10, 370

M Kamenshchikov - Stability Problems for Stochastic Models, 2022 - core.ac.uk
The problem of constructing functional optimal observers (filters) for stochastic control
systems with additive noises in discrete time are studied in this work. Under the assumption …