Output regulation via input-output data
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918516608729088 |
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| author | Bisoffi, Andrea Liu, Wenjie Hu, Zhongjie De Persis, Claudio |
| author_facet | Bisoffi, Andrea Liu, Wenjie Hu, Zhongjie De Persis, Claudio |
| contents | From a multi-input-multi-output (MIMO) discrete-time linear system, we collect input-output data affected by noise in the form of an unknown exosignal and, from these data points (without knowledge of the system model), we design a feedback controller that asymptotically annihilates the effect of that exosignal on the output. This amounts to solving an output regulation problem purely from input-output data, for MIMO linear systems. The design of the controller corresponds to a semidefinite program and is pursued on a suitable auxiliary system. Such design carries over from the auxiliary system to the original one by a rigorous examination of the relation between the solutions of the two systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Output regulation via input-output data Bisoffi, Andrea Liu, Wenjie Hu, Zhongjie De Persis, Claudio Optimization and Control Systems and Control From a multi-input-multi-output (MIMO) discrete-time linear system, we collect input-output data affected by noise in the form of an unknown exosignal and, from these data points (without knowledge of the system model), we design a feedback controller that asymptotically annihilates the effect of that exosignal on the output. This amounts to solving an output regulation problem purely from input-output data, for MIMO linear systems. The design of the controller corresponds to a semidefinite program and is pursued on a suitable auxiliary system. Such design carries over from the auxiliary system to the original one by a rigorous examination of the relation between the solutions of the two systems. |
| title | Output regulation via input-output data |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2605.22562 |