Title
Extremum Seeking Under Persistent Gradient Deception: A Switching Systems Approach
Abstract
This letter focuses on extremum seeking (ES) controllers with adversarial attacks in the form of deception signals. While a persistent attack in a feedback controller may be difficult to identify or mitigate, for a broad class of algorithms it suffices to achieve mitigation “sufficiently often” in order to preserve the stability properties of the system. In this letter, we explore for the first time the resilience properties of ES controllers with respect to a class of persistent multiplicative attacks that are purposely designed to destabilize optimization-based feedback controllers. By leveraging Lyapunov-based arguments for switching systems and singular-perturbation theory for hybrid dynamical systems, we characterize a family of persistent multiplicative attacks under which gradient-based ES, Newton-Like ES, and Accelerated gradient ES controllers provably preserve their stability properties.
Year
DOI
Venue
2022
10.1109/LCSYS.2021.3050451
IEEE Control Systems Letters
Keywords
DocType
Volume
Extremum seeking,switching systems,cyber-security
Journal
6
ISSN
Citations 
PageRank 
2475-1456
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Felipe Galarza-Jimenez100.34
Jorge I. Poveda200.68
Gianluca Bianchin301.69
Emiliano DallrAnese400.34