Sensitivity Function Trade-Offs for Networks with a String Topology

Richard Pates; Kaoru Yamamoto

doi:10.1109/CDC.2018.8619555

Sensitivity Function Trade-Offs for Networks with a String Topology

Richard Pates, Kaoru Yamamoto

Institutionen för reglerteknik

Kyushu University

Forskningsoutput: Kapitel i bok/rapport/Conference proceeding › Konferenspaper i proceeding › Peer review

Sammanfattning

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.

Originalspråk	engelska
Titel på värdpublikation	2018 IEEE Conference on Decision and Control, CDC 2018
Förlag	IEEE - Institute of Electrical and Electronics Engineers Inc.
Sidor	5869-5873
Antal sidor	5
ISBN (elektroniskt)	9781538613955
DOI	https://doi.org/10.1109/CDC.2018.8619555
Status	Published - 2019 jan. 21
Evenemang	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, USA Varaktighet: 2018 dec. 17 → 2018 dec. 19

Konferens

Konferens	57th IEEE Conference on Decision and Control, CDC 2018
Land/Territorium	USA
Ort	Miami
Period	2018/12/17 → 2018/12/19

Ämnesklassifikation (UKÄ)

Reglerteknik

Tillgång till dokument

10.1109/CDC.2018.8619555

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@inproceedings{253956bc9bcb4e00872956bc8884c896,

title = "Sensitivity Function Trade-Offs for Networks with a String Topology",

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.",

author = "Richard Pates and Kaoru Yamamoto",

year = "2019",

month = jan,

day = "21",

doi = "10.1109/CDC.2018.8619555",

language = "English",

pages = "5869--5873",

booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

}

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AU - Pates, Richard

AU - Yamamoto, Kaoru

PY - 2019/1/21

Y1 - 2019/1/21

N2 - 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.

AB - 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.

U2 - 10.1109/CDC.2018.8619555

DO - 10.1109/CDC.2018.8619555

M3 - Paper in conference proceeding

AN - SCOPUS:85062173036

SP - 5869

EP - 5873

BT - 2018 IEEE Conference on Decision and Control, CDC 2018

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 57th IEEE Conference on Decision and Control, CDC 2018

Y2 - 17 December 2018 through 19 December 2018

ER -

Sensitivity Function Trade-Offs for Networks with a String Topology

Sammanfattning

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Ämnesklassifikation (UKÄ)

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