This paper presents a characterization of distributed controllers subject to delay constraints induced by a strongly connected communication graph that achieve a prescribed closed loop H∞ norm. Inspired by the solution to the H2 problem subject to delays, we exploit the fact that the communication graph is strongly connected to decompose the controller into a local finite impulse response component and a global but delayed infinite impulse response component. This allows us to reduce the control synthesis problem to a linear matrix inequality feasibility test.
@article{arxiv.1402.1559,
title = {Distributed Control Subject to Delays Satisfying an $\mathcal{H}_\infty$ Norm Bound},
author = {Nikolai Matni},
journal= {arXiv preprint arXiv:1402.1559},
year = {2014}
}
Comments
Preliminary draft of CDC '14 submission. arXiv admin note: Figure 1 taken from Figure 2 of arXiv:1209.3600