We investigate the problem of stabilizing an unknown networked linear system under communication constraints and adversarial disturbances. We propose the first provably stabilizing algorithm for the problem. The algorithm uses a distributed version of nested convex body chasing to maintain a consistent estimate of the network dynamics and applies system level synthesis to determine a distributed controller based on this estimated model. Our approach avoids the need for system identification and accommodates a broad class of communication delay while being fully distributed and scaling favorably with the number of subsystems.
@article{arxiv.2203.02630,
title = {Online Adversarial Stabilization of Unknown Networked Systems},
author = {Jing Yu and Dimitar Ho and Adam Wierman},
journal= {arXiv preprint arXiv:2203.02630},
year = {2023}
}