Decentralized PI-control and anti-windup in resource sharing networks

• Published in: European journal of control Vol. 80; p. 101049
• Main Authors: Agner, Felix, Hansson, Jonas, Kergus, Pauline, Rantzer, Anders, Tarbouriech, Sophie, Zaccarian, Luca
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2024; Elsevier
• Subjects: Automatic Control Engineering; Computer Science; Constrained control; Control Engineering; Decentralized control; Electrical Engineering, Electronic Engineering, Information Engineering; Elektroteknik och elektronik; Energy systems; Engineering and Technology; Reglerteknik; Teknik; Decentralized control; Energy systems; Constrained control; Constrained Control; Decentralized Control; Energy Systems
• ISSN: 0947-3580; 1435-5671
• DOI: 10.1016/j.ejcon.2024.101049

We consider control of multiple stable first-order agents which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded 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. •We investigate a class of nonlinearly coupled multi-agent systems.•We propose a fully decentralized proportional–integral control strategy with anti-windup.•The proposed strategy globally asymptotically stabilizes a unique equilibrium.•The stabilized equilibrium minimizes a weighted 1-norm of tracking errors. [Display omitted]