Computing Scaled Relative Graphs of Discrete-time LTI Systems from Data

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Autori principali:	Nauta, Talitha, Pates, Richard
Natura:	Preprint
Pubblicazione:	2026
Soggetti:	Systems and Control Optimization and Control Primary 47A05, 51M15, Secondary 47A12
Accesso online:	Acceder al recurso
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author	Nauta, Talitha Pates, Richard
author_facet	Nauta, Talitha Pates, Richard
contents	Graphical methods for system analysis have played a central role in control theory. A recently emerging tool in this field is the Scaled Relative Graph (SRG). In this paper, we further extend its applicability by showing how the SRG of discrete-time linear-time-invariant (LTI) systems 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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2603_05239
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Computing Scaled Relative Graphs of Discrete-time LTI Systems from Data Nauta, Talitha Pates, Richard Systems and Control Optimization and Control Primary 47A05, 51M15, Secondary 47A12 Graphical methods for system analysis have played a central role in control theory. A recently emerging tool in this field is the Scaled Relative Graph (SRG). In this paper, we further extend its applicability by showing how the SRG of discrete-time linear-time-invariant (LTI) systems 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.
title	Computing Scaled Relative Graphs of Discrete-time LTI Systems from Data
topic	Systems and Control Optimization and Control Primary 47A05, 51M15, Secondary 47A12
url	https://arxiv.org/abs/2603.05239

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