Model reduction by moment matching: Beyond linearity a review of the last 10 years

A Astolfi, G Scarciotti, J Simard, N Faedo… - 2020 59th IEEE …, 2020 - ieeexplore.ieee.org
We present a review of some recent contributions to the theory and application of nonlinear
model order reduction by moment matching. The tutorial paper is organized in four parts: 1) …

[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 …

Finite-order hydrodynamic model determination for wave energy applications using moment-matching

N Faedo, Y Peña-Sanchez, JV Ringwood - Ocean Engineering, 2018 - Elsevier
The motion of a Wave Energy Converter (WEC) can be described in terms of an integro-
differential equation, which involves a convolution product. The convolution term, which …

Energy-maximising control of wave energy converters using a moment-domain representation

N Faedo, G Scarciotti, A Astolfi, JV Ringwood - Control Engineering …, 2018 - Elsevier
Abstract Wave Energy Converters (WECs) have to be controlled to ensure maximum energy
extraction from waves while considering, at the same time, physical constraints on the …

Model reduction of neutral linear and nonlinear time-invariant time-delay systems with discrete and distributed delays

G Scarciotti, A Astolfi - IEEE Transactions on Automatic Control, 2015 - ieeexplore.ieee.org
The problem of model reduction by moment matching for linear and nonlinear differential
time-delay systems is studied. The class of models considered includes neutral differential …

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 …

A geometric characterization of the persistence of excitation condition for the solutions of autonomous systems

A Padoan, G Scarciotti, A Astolfi - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The persistence of excitation of signals generated by time-invariant, autonomous, linear, and
nonlinear systems is studied using a geometric approach. A rank condition is shown to be …

[HTML][HTML] Interconnection-based model order reduction-a survey

G Scarciotti, A Astolfi - European Journal of Control, 2024 - Elsevier
In this survey we present in an organic, complete, and accessible style the interconnection
framework for model order reduction. While this framework originally started as a revisitation …

Low computational complexity model reduction of power systems with preservation of physical characteristics

G Scarciotti - IEEE Transactions on Power Systems, 2016 - ieeexplore.ieee.org
A data-driven algorithm recently proposed to solve the problem of model reduction by
moment matching is extended to multi-input, multi-output systems. The algorithm is exploited …

Model reduction by matching the steady-state response of explicit signal generators

G Scarciotti, A Astolfi - IEEE Transactions on Automatic Control, 2015 - ieeexplore.ieee.org
Model reduction by moment matching for “interpolation signals” which do not have an
implicit model, ie, they do not satisfy a differential equation, is considered. Particular …