Input-Output Data-Driven Stabilization of Continuous-Time Linear MIMO Systems
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912696369152000 |
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| author | Gao, Haihui Bosso, Alessandro Wang, Lei Saussié, David Yi, Bowen |
| author_facet | Gao, Haihui Bosso, Alessandro Wang, Lei Saussié, David Yi, Bowen |
| contents | In this paper, we address the problem of data-driven stabilization of continuous-time multi-input multi-output (MIMO) linear time-invariant systems using the input-output data collected from an experiment. Building on recent results for data-driven output-feedback control based on non-minimal realizations, we propose an approach that can be applied to a broad class of continuous-time MIMO systems without requiring a uniform observability index. The key idea is to show that Kreisselmeier's adaptive filter can be interpreted as an observer of a stabilizable non-minimal realization of the plant. Then, by postprocessing the input-output data with such a filter, we derive a linear matrix inequality that yields the feedback gain of a dynamic output-feedback stabilizer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06524 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Input-Output Data-Driven Stabilization of Continuous-Time Linear MIMO Systems Gao, Haihui Bosso, Alessandro Wang, Lei Saussié, David Yi, Bowen Systems and Control In this paper, we address the problem of data-driven stabilization of continuous-time multi-input multi-output (MIMO) linear time-invariant systems using the input-output data collected from an experiment. Building on recent results for data-driven output-feedback control based on non-minimal realizations, we propose an approach that can be applied to a broad class of continuous-time MIMO systems without requiring a uniform observability index. The key idea is to show that Kreisselmeier's adaptive filter can be interpreted as an observer of a stabilizable non-minimal realization of the plant. Then, by postprocessing the input-output data with such a filter, we derive a linear matrix inequality that yields the feedback gain of a dynamic output-feedback stabilizer. |
| title | Input-Output Data-Driven Stabilization of Continuous-Time Linear MIMO Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2511.06524 |