Frequency-weighted ℋ2-optimal model order reduction via oblique projection
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
systems with additive noises in discrete time are studied in this work. Under the assumption …