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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2603.05239 |
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| _version_ | 1866910042471530496 |
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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 |