Model reduction methods for complex network systems

X Cheng, JMA Scherpen - Annual Review of Control, Robotics …, 2021 - annualreviews.org
Network systems consist of subsystems and their interconnections and provide a powerful
framework for the analysis, modeling, and control of complex systems. However, subsystems …

Port-Hamiltonian systems in adaptive and learning control: A survey

SP Nageshrao, GAD Lopes, D Jeltsema… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Port-Hamiltonian (PH) theory is a novel, but well established modeling framework for
nonlinear physical systems. Due to the emphasis on the physical structure and modular …

The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena

J Reiss, P Schulze, J Sesterhenn, V Mehrmann - SIAM Journal on Scientific …, 2018 - SIAM
Transport-dominated phenomena provide a challenge for common mode-based model
reduction approaches. We present a model reduction method, which is suited for these kinds …

[HTML][HTML] Data-driven model reduction by moment matching for linear and nonlinear systems

G Scarciotti, A Astolfi - Automatica, 2017 - Elsevier
Abstract Theory and methods to obtain reduced order models by moment matching from
input/output data are presented. Algorithms for the estimation of the moments of linear and …

Multiscale modeling of compartmentalized reservoirs using a hybrid clustering-based non-local approach

S Esmaeilzadeh, A Salehi, G Hetz… - Journal of Petroleum …, 2020 - Elsevier
Representing the reservoir as a network of discrete compartments with neighbor and non-
neighbor connections is a fast, yet accurate method for analyzing oil and gas reservoirs …

Structure-preserving model reduction for nonlinear port-Hamiltonian systems

S Chaturantabut, C Beattie, S Gugercin - SIAM Journal on Scientific …, 2016 - SIAM
This paper presents a structure-preserving model reduction approach applicable to large-
scale, nonlinear port-Hamiltonian systems. Structure preservation in the reduction step …

Nonlinear model reduction by moment matching

G Scarciotti, A Astolfi - … and Trends® in Systems and Control, 2017 - nowpublishers.com
Mathematical models are at the core of modern science and technology. An accurate
description of behaviors, systems and processes often requires the use of complex models …

Model order reduction via moment-matching: a state of the art review

D Rafiq, MA Bazaz - Archives of Computational Methods in Engineering, 2022 - Springer
The past few decades have seen a significant spurt in developing lower-order, parsimonious
models of large-scale dynamical systems used for design and control. These surrogate …

Balanced truncation model order reduction for quadratic-bilinear control systems

P Benner, P Goyal - arXiv preprint arXiv:1705.00160, 2017 - arxiv.org
We discuss balanced truncation model order reduction for large-scale quadratic-bilinear
(QB) systems. Balanced truncation for linear systems mainly involves the computation of the …

A general spatio-temporal clustering-based non-local formulation for multiscale modeling of compartmentalized reservoirs

S Esmaeilzadeh, A Salehi, G Hetz… - SPE Western Regional …, 2019 - onepetro.org
Representing the reservoir as a network of discrete compartments with neighbor and non-
neighbor connections is a fast, yet accurate method for analyzing oil and gas reservoirs …