Optimization of the H∞-norm of Dynamic Flow Networks

QC 20180910Part of proceedings: ISBN 978-1-5386-5428-6
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.

Wei, JieqiangKTH,ACCESS Linnaeus Centre(Swepub:kth)u1lp0wkh (author)
Sandberg, HenrikKTH,ACCESS Linnaeus Centre(Swepub:kth)u1i9irki (author)
Johansson, Karl H.,1967-KTH,ACCESS Linnaeus Centre(Swepub:kth)u1h0d9k2 (author)
Chen, J.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China (author)
KTHACCESS Linnaeus Centre (creator_code:org_t)

In:2018 Annual American Control Conference (ACC): Institute of Electrical and Electronics Engineers (IEEE), s. 1280-1285

By the author/editor: Johansson, Alexa ...; Wei, Jieqiang; Sandberg, Henrik; Johansson, Karl ...; Chen, J.

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ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Electrical Engin ...; and Control Engineer ...

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