Book ChapterDOI
A Survey on Model Reduction of Coupled Systems
Timo Reis,Tatjana Stykel +1 more
- pp 133-155
TLDR
In this paper, the authors give an overview of model order reduction techniques for coupled systems and discuss model reduction of linear time-invariant control systems that are coupled through input-output relations.Abstract:
In this paper we give an overview of model order reduction techniques for coupled systems. We consider linear time-invariant control systems that are coupled through input-output relations and discuss model reduction of such systems using moment matching approximation and balanced truncation. Structure-preserving approaches to model order reduction of coupled systems are also presented. Numerical examples are given.read more
Citations
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Journal ArticleDOI
Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms
TL;DR: In this article, a non-intrusive model reduction method is proposed to learn low-dimensional models of dynamical systems with non-polynomial nonlinear terms that are spatially local and given in analytic form.
Journal ArticleDOI
SVD-based improvements for component mode synthesis in elastic multibody systems
Philip Holzwarth,Peter Eberhard +1 more
TL;DR: In this article, the authors proposed a frequency weighted balanced truncation (FWTB) method for elastic multibody systems (EMBS) for dynamic simulations, where a multitude of deformable bodies interact, and demonstrated the benefits of the presented method on a large, industrially relevant model.
Journal ArticleDOI
A general approach for generating reduced-order models for large multi-zone buildings
Donghun Kim,James E. Braun +1 more
TL;DR: In this paper, a general and computationally efficient approach for generating a reduced-order model from a detailed representation of the dynamics of commercial sized multi-zone buildings and provides comparisons of predictions and computational requirements with a commercial building simulation tool.
Model order reduction for coupled systems using low-rank approximations
TL;DR: This thesis presents the result of the study on model order reduction (MOR) methods, that can be applied to coupled systems, resulting in the reduced systems that approximate the original ones with accuracy comparable to the accuracy of systems reduced by means of other blockstructure preserving MOR methods.
References
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Journal ArticleDOI
Principal component analysis in linear systems: Controllability, observability, and model reduction
TL;DR: In this paper, it is shown that principal component analysis (PCA) is a powerful tool for coping with structural instability in dynamic systems, and it is proposed that the first step in model reduction is to apply the mechanics of minimal realization using these working subspaces.
Journal ArticleDOI
Encyclopedia of Mathematics and its Applications.
William B. Jones,W. J. Thron +1 more
Journal ArticleDOI
Coupling of substructures for dynamic analyses.
M. C. C. Bampton,Roy R. Craig +1 more
TL;DR: In this article, a method for treating a complex structure as an assemblage of distinct regions, or substructures, is presented using basic mass and stiffness matrices, together with conditions of geometrical compatibility along substructure boundaries.
Journal ArticleDOI
All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds†
TL;DR: In this paper, a complete characterization of all rational functions that minimize the Hankel-norm is derived, and the solution to the latter problem is via results on balanced realizations, all-pass functions and the inertia of matrices, all in terms of the solutions to Lyapunov equations.
Book
An introduction to infinite-dimensional linear systems theory
Ruth F. Curtain,Hans Zwart +1 more
TL;DR: This book presents Semigroup Theory, a treatment of systems theory concepts in finite dimensions with a focus on Hankel Operators and the Nehari Problem.