Decentralized PI-control and Anti-windup in Resource Sharing Networks
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909227483660288 |
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| author | Agner, Felix Hansson, Jonas Kergus, Pauline Rantzer, Anders Tarbouriech, Sophie Zaccarian, Luca |
| author_facet | Agner, Felix Hansson, Jonas Kergus, Pauline Rantzer, Anders Tarbouriech, Sophie Zaccarian, Luca |
| contents | We consider control of multiple stable first-order \review{agents} which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded \review{input} nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional-integral controllers equipped with anti-windup and subject to local tuning rules. In addition, we show that when the nonlinearities correspond to the saturation function, the closed loop asymptotically minimizes a weighted 1-norm of the agents state mismatch. The control strategy is finally compared to other state-of-the-art controllers on a numerical district heating example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00433 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decentralized PI-control and Anti-windup in Resource Sharing Networks Agner, Felix Hansson, Jonas Kergus, Pauline Rantzer, Anders Tarbouriech, Sophie Zaccarian, Luca Systems and Control We consider control of multiple stable first-order \review{agents} which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded \review{input} nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional-integral controllers equipped with anti-windup and subject to local tuning rules. In addition, we show that when the nonlinearities correspond to the saturation function, the closed loop asymptotically minimizes a weighted 1-norm of the agents state mismatch. The control strategy is finally compared to other state-of-the-art controllers on a numerical district heating example. |
| title | Decentralized PI-control and Anti-windup in Resource Sharing Networks |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2311.00433 |