TY - GEN
T1 - Sensitivity Function Trade-Offs for Networks with a String Topology
AU - Pates, Richard
AU - Yamamoto, Kaoru
N1 - Funding Information:
R. Pates is with the Department of Automatic Control, Lund University, Box 118, SE-221 00 Lund, Sweden. This author is a member of the LCCC Linnaeus Center and the ELLIIT Excellence Center at Lund University. K. Yamamoto is with the Department of Electrical Engineering, Kyushu University, Fukuoka 819-0395, Japan. This work was supported by the Swedish Research Council through the LCCC Linnaeus Center.
Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/2
Y1 - 2018/7/2
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.
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U2 - 10.1109/CDC.2018.8619555
DO - 10.1109/CDC.2018.8619555
M3 - Conference contribution
AN - SCOPUS:85062173036
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5869
EP - 5873
BT - 2018 IEEE Conference on Decision and Control, CDC 2018
PB - 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 -