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.
Original language | English |
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Title of host publication | 2018 IEEE Conference on Decision and Control, CDC 2018 |
Publisher | IEEE - Institute of Electrical and Electronics Engineers Inc. |
Pages | 5869-5873 |
Number of pages | 5 |
ISBN (Electronic) | 9781538613955 |
DOIs | |
Publication status | Published - 2019 Jan 21 |
Event | 57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 2018 Dec 17 → 2018 Dec 19 |
Conference
Conference | 57th IEEE Conference on Decision and Control, CDC 2018 |
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Country/Territory | United States |
City | Miami |
Period | 2018/12/17 → 2018/12/19 |
Subject classification (UKÄ)
- Control Engineering