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On the Coherence of Large-Scale Networks With Distributed PI and PD Control
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-8975-1801
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
2017 (English)In: IEEE Control Systems Letters, ISSN 2475-1456, Vol. 1, no 1, 170-175 p.Article in journal (Refereed) Published
Abstract [en]

We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H2 norm metric that represents the variance of nodal state fluctuations. Specifically, we address known performance limitations of the standard consensus protocol, which cause this variance to scale unboundedly with network size for a large class of networks. We propose distributed proportional integral and proportional derivative controllers that relax these limitations and achieve bounded variance, in cases where agents can access an absolute measurement of one of their states. This case applies to, for example, frequency control of power networks and vehicular formation control with limited sensing. We discuss optimal tuning of the controllers with respect to network coherence and demonstrate our results in simulations.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2017. Vol. 1, no 1, 170-175 p.
Keyword [en]
Large-scale networks, Distributed control, PID control, Fundamental limitations
National Category
Control Engineering
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-209420DOI: 10.1109/LCSYS.2017.2711781OAI: oai:DiVA.org:kth-209420DiVA: diva2:1111853
Funder
Swedish Research Council
Note

QC 20170620

Available from: 2017-06-19 Created: 2017-06-19 Last updated: 2017-06-20Bibliographically approved

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  • apa
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