On the Robust Implementation of Projected Dynamical Systems with Anti-Windup Controllers
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Date
2020Type
- Conference Paper
Abstract
While projected dynamical systems (PDS) are mathematically well-defined and useful for modeling dynamics for constrained optimization and variational inequalities, their physical realization is not immediate. In this paper, we study how anti-windup schemes, which are ubiquitous in feedback control to deal with saturation, can be used to approximate PDS. Namely, we show that a particular class of anti-windup control loops are perturbations of PDS. This allows us to establish results about uniform convergence and robust stability of high-gain anti-windup schemes. We also establish how these insights apply in the context of feedback optimization, popularized recently for power systems and communication networks, and how our results introduce a new class of optimization dynamics that is particularly suited for this application. © 2020 AACC. Show more
Publication status
publishedExternal links
Book title
2020 American Control Conference (ACC)Pages / Article No.
Publisher
IEEEEvent
Organisational unit
09478 - Dörfler, Florian / Dörfler, Florian
Funding
160573 - Plug-and-Play Control & Optimization in Microgrids (SNF)
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