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Sensitivity Function Trade-Offs for Networks with a String Topology

Pates, Richard LU and Yamamoto, Kaoru LU (2019) 57th IEEE Conference on Decision and Control, CDC 2018 p.5869-5873
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.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2018 IEEE Conference on Decision and Control, CDC 2018
article number
8619555
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
57th IEEE Conference on Decision and Control, CDC 2018
conference location
Miami, United States
conference dates
2018-12-17 - 2018-12-19
external identifiers
  • scopus:85062173036
ISBN
9781538613955
DOI
10.1109/CDC.2018.8619555
language
English
LU publication?
yes
id
253956bc-9bcb-4e00-8729-56bc8884c896
date added to LUP
2019-03-11 12:54:23
date last changed
2022-04-25 21:42:24
@inproceedings{253956bc-9bcb-4e00-8729-56bc8884c896,
  abstract     = {{<p>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.</p>}},
  author       = {{Pates, Richard and Yamamoto, Kaoru}},
  booktitle    = {{2018 IEEE Conference on Decision and Control, CDC 2018}},
  isbn         = {{9781538613955}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{5869--5873}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Sensitivity Function Trade-Offs for Networks with a String Topology}},
  url          = {{http://dx.doi.org/10.1109/CDC.2018.8619555}},
  doi          = {{10.1109/CDC.2018.8619555}},
  year         = {{2019}},
}