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.
Year
DOI
Venue
2018
10.1109/CDC.2018.8619555
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Field
DocType
ISSN
Mathematical optimization,Upper and lower bounds,Computer science,Trade offs,Sensitivity (control systems),String topology
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Richard Pates102.37
Kaoru Yamamoto224015.20