Sensitivity Function Trade-Offs for Networks with a String Topology
(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:
https://lup.lub.lu.se/record/253956bc-9bcb-4e00-8729-56bc8884c896
- author
- Pates, Richard LU and Yamamoto, Kaoru LU
- organization
- publishing date
- 2019-01-21
- 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}}, }