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Signal generator agnostic moment matching
File(s)
Author(s)
Bhattacharjee, Debraj
Moreschini, Alessio
Astolfi, Alessandro
Type
Journal Article
Abstract
We study the model-reduction problem by moment matching for linear and nonlinear systems in a data-driven setting. We show that reduced-order models can be directly computed from input–output data without requiring knowledge of the structure of the signal generator or its internal state. The reduced-order models thus obtained match the moments of the unknown underlying system asymptotically. Our formulation provides a simple way to enforce additional constraints on the structure of the reduced-order model, which could be used to incorporate prior knowledge about the underlying system. In addition, we show that our method can be directly applied to a large class of linear and nonlinear time-delay systems with minimal modifications. Finally, we provide a simple algorithmic formulation that can be used directly with data, and demonstrate its effectiveness on a benchmark example—a nonlinear RC ladder circuit.
Date Issued
2025-11-01
Date Acceptance
2025-05-21
Citation
IEEE Transactions on Automatic Control, 2025, 70 (11), pp.7493-7508
URI
URL
DOI
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
7493
End Page
7508
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
70
Issue
11
Copyright Statement
© 2025 The Authors. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. For more information, see https://creativecommons.org/licenses/by-nc-nd/4.0/
License URL
Subjects
Automation & Control Systems
BALANCED MODEL-REDUCTION
Computational modeling
Data-driven algorithms
Engineering
Engineering, Electrical & Electronic
EQUATIONS
Integrated circuit modeling
Interpolation
INTERPOLATION
Linear systems
Mathematical models
moment matching
nonlinear model reduction
Nonlinear systems
OUTPUT REGULATION
REALIZATION
Reduced order systems
Science & Technology
Signal generators
Steady-state
Technology
time-delay systems
TIME-DELAY SYSTEMS
Transfer functions
Publication Status
Published
Date Publish Online
2025-06-02