Dissipativity-preserving model reduction for linear systems using moment matching
File(s)
Published version
Author(s)
Shakib, Mohammad Fahim
Moreschini, Alessio
Scarciotti, Giordano
Type
Journal Article
Abstract
This article introduces a novel model reduction method that preserves dissipativity properties while achieving
moment matching at user-specified interpolation points. Building on the time-domain moment matching
framework, our approach leverages the flexibility of free parameters in reduced-order models to ensure the preservation of (, , )-dissipativity, independent of the state dimension of the reduced model or the location of the interpolation points. By preserving dissipativity, this method enables more reliable and efficient reduced order models for large-scale systems, while maintaining key physical and stability properties. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed approach.
moment matching at user-specified interpolation points. Building on the time-domain moment matching
framework, our approach leverages the flexibility of free parameters in reduced-order models to ensure the preservation of (, , )-dissipativity, independent of the state dimension of the reduced model or the location of the interpolation points. By preserving dissipativity, this method enables more reliable and efficient reduced order models for large-scale systems, while maintaining key physical and stability properties. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed approach.
Date Issued
2025-11-01
Date Acceptance
2025-07-08
Citation
European Journal of Control, 2025, 86 (Part A)
ISSN
0947-3580
Publisher
Elsevier BV
Journal / Book Title
European Journal of Control
Volume
86
Issue
Part A
Copyright Statement
© 2025 The Authors. Published by Elsevier Ltd on behalf of European Control Association. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
10.1016/j.ejcon.2025.101290
Publication Status
Published
Article Number
101290
Date Publish Online
2025-07-23