Parametric Model Order Reduction by Matrix Interpolation-Reference-Cited by-同舟云学术

Parametric Model Order Reduction by Matrix Interpolation

Published:2010-08 Issue:8 Volume:58 Page:475-484
ISSN:2196-677X
Container-title:auto
language:en
Short-container-title:

Author:

Panzer Heiko,Mohring Jan¹,Eid Rudy²,Lohmann Boris³

Affiliation:

1. Fraunhofer Institut für Techno- und Wirtschaftsmathematik, Department of Transport Process, Kaiserslautern

2. Technische Universität München, Institute of Automatic Control, Garching

3. TU München, Lehrstuhl für Regelungstechnik, Garching, Deutschland

Abstract

Abstract In this paper, a new framework for model order reduction of LTI parametric systems is introduced. After generating and reducing several local original models in the parameter space, a parametric reduced-order model is calculated by interpolating the system matrices of the local reduced models. The main task is to find compatible system representations with optimal interpolation properties. Two approaches for this purpose are presented together with several numerical simulations.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Computer Science Applications,Control and Systems Engineering

Link

https://www.degruyter.com/document/doi/10.1524/auto.2010.0863/pdf

Reference8 articles.

1. A Multiparameter Moment-Matching Model-Reduction Approach for Generating Geometrically Parameterized Interconnect Performance Models

2. Concurrent mechatronic design approach for active control of cavity noise

3. Model reduction methods based on Krylov subspaces

4. Coupling of substructures for dynamic analyses.

5. Principal component analysis in linear systems: Controllability, observability, and model reduction

Cited by 161 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Improved model reduction with basis enrichment for dynamic analysis of nearly periodic structures including substructures with geometric changes;Journal of Computational and Applied Mathematics;2024-08

2. Coupled thermal-mechanical analysis of power electronic modules with finite element method and parametric model order reduction;Power Electronic Devices and Components;2024-08

3. Plug‐and‐play adaptive surrogate modeling of parametric nonlinear dynamics in frequency domain;International Journal for Numerical Methods in Engineering;2024-04-16

4. Learning Nonlinear Reduced Models from Data with Operator Inference;Annual Review of Fluid Mechanics;2024-01-19

5. Convective drying of wood chips: Accelerating coupled DEM-CFD simulations with parametrized reduced single particle models;Particuology;2024-01