2024/12/14 by Mattia Bianchi, Florian Dörfler, Bianchi, Mattia +1 · 2 citations
Engineering · #Advanced Adaptive Filtering Techniques #Dynamical Systems (math.DS) #Extremum Seeking Control Systems #FOS: Electrical engineering #FOS: Mathematics #Iterative Learning Control Systems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2412.10964
openalex publication_date 2024/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Online Feedback Optimization (OFO) is a control approach to drive a dynamical plant to an optimal steady state. By interconnecting optimization algorithms with real-time plant measurements, OFO provides all the benefits of feedback control, yet without requiring exact knowledge of plant dynamics for computing a setpoint. On the downside, existing stability guarantees for OFO require the controller to evolve on a sufficiently slower timescale than the plant, possibly affecting transient performance and responsiveness to disturbances. In this paper, we prove that, under suitable conditions, OFO ensures stability without any timescale separation. In particular, the condition we propose is independent of the time constant of the plant, hence it is scaling-invariant. Our analysis leverages a composite Lyapunov function, which is the max of plant-related and controller-related components. We corroborate our theoretical results with numerical examples.