Data-Driven Stabilization Using Prior Knowledge on Stabilizability and Controllability
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917049984352256 |
|---|---|
| author | Shakouri, Amir van Waarde, Henk J. Baltussen, Tren M. J. T. Heemels, W. P. M. H. |
| author_facet | Shakouri, Amir van Waarde, Henk J. Baltussen, Tren M. J. T. Heemels, W. P. M. H. |
| contents | In this work, we study data-driven stabilization of linear time-invariant systems using prior knowledge of system-theoretic properties, specifically stabilizability and controllability. To formalize this, we extend the concept of data informativity by requiring the existence of a controller that stabilizes all systems consistent with the data and the prior knowledge. We show that if the system is controllable, then incorporating this as prior knowledge does not relax the conditions required for data-driven stabilization. Remarkably, however, we show that if the system is stabilizable, then using this as prior knowledge leads to necessary and sufficient conditions that are weaker than those for data-driven stabilization without prior knowledge. In other words, data-driven stabilization is easier if one knows that the underlying system is stabilizable. We also provide new data-driven control design methods in terms of linear matrix inequalities that complement the conditions for informativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25452 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Data-Driven Stabilization Using Prior Knowledge on Stabilizability and Controllability Shakouri, Amir van Waarde, Henk J. Baltussen, Tren M. J. T. Heemels, W. P. M. H. Optimization and Control Systems and Control In this work, we study data-driven stabilization of linear time-invariant systems using prior knowledge of system-theoretic properties, specifically stabilizability and controllability. To formalize this, we extend the concept of data informativity by requiring the existence of a controller that stabilizes all systems consistent with the data and the prior knowledge. We show that if the system is controllable, then incorporating this as prior knowledge does not relax the conditions required for data-driven stabilization. Remarkably, however, we show that if the system is stabilizable, then using this as prior knowledge leads to necessary and sufficient conditions that are weaker than those for data-driven stabilization without prior knowledge. In other words, data-driven stabilization is easier if one knows that the underlying system is stabilizable. We also provide new data-driven control design methods in terms of linear matrix inequalities that complement the conditions for informativity. |
| title | Data-Driven Stabilization Using Prior Knowledge on Stabilizability and Controllability |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2510.25452 |