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22 March 2025
 
  » arxiv » 2311.00433

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Decentralized PI-control and Anti-windup in Resource Sharing Networks
Felix Agner ; Jonas Hansson ; Pauline Kergus ; Anders Rantzer ; Sophie Tarbouriech ; Luca Zaccarian ;
Date 1 Nov 2023
AbstractWe consider control of multiple stable first-order systems which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional integral anti-windup-equipped controllers 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.
Source arXiv, 2311.00433
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