Sensitivity Function Trade-offs for Networks with a String Topology
Optimization and Control
2018-09-20 v1
Abstract
We present two sensitivity function trade-offs that apply to a class of networks with a string topology. In particular we show that a lower bound on the H-infinity norm and a Bode sensitivity relation hold for an entire family of sensitivity functions associated with growing the network. The trade-offs we identify are a direct consequence of growing the network, and can be used to explain why poorly regulated low frequency behaviours emerge in long vehicle platoons even when using dynamic feedback.
Keywords
Cite
@article{arxiv.1809.07230,
title = {Sensitivity Function Trade-offs for Networks with a String Topology},
author = {Richard Pates and Kaoru Yamamoto},
journal= {arXiv preprint arXiv:1809.07230},
year = {2018}
}