Dissipativity-Based Data-Driven Decentralized Control of Interconnected Systems
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914042765901824 |
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| author | Nakano, Taiki Aboudonia, Ahmed Eising, Jaap Martinelli, Andrea Dörfler, Florian Lygeros, John |
| author_facet | Nakano, Taiki Aboudonia, Ahmed Eising, Jaap Martinelli, Andrea Dörfler, Florian Lygeros, John |
| contents | We propose data-driven decentralized control algorithms for stabilizing interconnected systems. We first derive a data-driven condition to synthesize a local controller that ensures the dissipativity of the local subsystems. Then, we propose data-driven decentralized stability conditions for the global system based on the dissipativity of each local system. Since both conditions take the form of linear matrix inequalities and are based on dissipativity theory, this yields a unified pipeline, resulting in a data-driven decentralized control algorithm. As a special case, we also consider stabilizing systems interconnected through diffusive coupling and propose a control algorithm. We validate the effectiveness and the scalability of the proposed control algorithms in numerical examples in the context of microgrids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14047 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dissipativity-Based Data-Driven Decentralized Control of Interconnected Systems Nakano, Taiki Aboudonia, Ahmed Eising, Jaap Martinelli, Andrea Dörfler, Florian Lygeros, John Systems and Control We propose data-driven decentralized control algorithms for stabilizing interconnected systems. We first derive a data-driven condition to synthesize a local controller that ensures the dissipativity of the local subsystems. Then, we propose data-driven decentralized stability conditions for the global system based on the dissipativity of each local system. Since both conditions take the form of linear matrix inequalities and are based on dissipativity theory, this yields a unified pipeline, resulting in a data-driven decentralized control algorithm. As a special case, we also consider stabilizing systems interconnected through diffusive coupling and propose a control algorithm. We validate the effectiveness and the scalability of the proposed control algorithms in numerical examples in the context of microgrids. |
| title | Dissipativity-Based Data-Driven Decentralized Control of Interconnected Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2509.14047 |