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Computing Scaled Relative Graphs of Discrete-Time LTI Systems From Data

Nauta, Talitha LU orcid and Pates, Richard LU orcid (2026) In IEEE Control Systems Letters 10. p.841-846
Abstract
Graphical methods for system analysis have played a central role in control theory. The Scaled Relative Graph (SRG) has recently emerged as a useful tool for stability analysis of feedback interconnections. In this letter, we further extend its applicability by showing how the SRG of a discrete-time linear-time-invariant (LTI) system can be computed exactly from its state-space representation using linear matrix inequalities. We additionally propose a fully data-driven approach where we demonstrate how to compute the SRG exclusively from input-output data. Furthermore, we introduce a robust version of the SRG, which can be computed from noisy data trajectories and contains the SRG of the actual system.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Control Systems Letters
volume
10
pages
841 - 846
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:105041026437
ISSN
2475-1456
DOI
10.1109/LCSYS.2026.3700680
project
Interpretable Safety and Performance Guarantees using Scaled Relative Graphs
language
English
LU publication?
yes
id
bd913e89-bf63-4b10-8e49-f77ba76d6a55
date added to LUP
2026-07-03 16:05:56
date last changed
2026-09-21 14:10:15
@article{bd913e89-bf63-4b10-8e49-f77ba76d6a55,
  abstract     = {{Graphical methods for system analysis have played a central role in control theory. The Scaled Relative Graph (SRG) has recently emerged as a useful tool for stability analysis of feedback interconnections. In this letter, we further extend its applicability by showing how the SRG of a discrete-time linear-time-invariant (LTI) system can be computed exactly from its state-space representation using linear matrix inequalities. We additionally propose a fully data-driven approach where we demonstrate how to compute the SRG exclusively from input-output data. Furthermore, we introduce a robust version of the SRG, which can be computed from noisy data trajectories and contains the SRG of the actual system.}},
  author       = {{Nauta, Talitha and Pates, Richard}},
  issn         = {{2475-1456}},
  language     = {{eng}},
  month        = {{06}},
  pages        = {{841--846}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Control Systems Letters}},
  title        = {{Computing Scaled Relative Graphs of Discrete-Time LTI Systems From Data}},
  url          = {{http://dx.doi.org/10.1109/LCSYS.2026.3700680}},
  doi          = {{10.1109/LCSYS.2026.3700680}},
  volume       = {{10}},
  year         = {{2026}},
}