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Optimization of the H∞-norm of Dynamic Flow Networks
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
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2018 (English)In: 2018 Annual American Control Conference (ACC), Institute of Electrical and Electronics Engineers (IEEE), 2018, p. 1280-1285Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we study the H∞-norm of linear systems over graphs, which is used to model distribution networks. In particular, we aim to minimize the H∞-norm subject to allocation of the weights on the edges. The optimization problem is formulated with LMI (Linear-Matrix-Inequality) constraints. For distribution networks with one port, i.e., SISO systems, we show that the H∞-norm coincides with the effective resistance between the nodes in the port. Moreover, we derive an upper bound of the H∞-norm, which is in terms of the algebraic connectivity of the graph on which the distribution network is defined.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 1280-1285
Series
Proceedings of the American Control Conference, ISSN 0743-1619
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-234711DOI: 10.23919/ACC.2018.8431398Scopus ID: 2-s2.0-85052568554ISBN: 9781538654286 (print)OAI: oai:DiVA.org:kth-234711DiVA, id: diva2:1246789
Conference
2018 Annual American Control Conference, ACC 2018, Wisconsin Center / Hilton Milwauke City Center, Milwauke, United States, 27 June 2018 through 29 June 2018
Note

QC 20180910

Available from: 2018-09-10 Created: 2018-09-10 Last updated: 2018-09-10Bibliographically approved

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Wei, JieqiangSandberg, HenrikJohansson, Karl H.

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