Abstract
In this article, we present a method to reconstruct the topology of a partially observed radial network of linear dynamical systems with bi-directional interactions. Our approach exploits the structure of the inverse power spectral density matrix and recovers edges involving nodes up to four hops away in the underlying topology. We then present an algorithm with provable guarantees, which eliminates the spurious links obtained and also identifies the location of the unobserved nodes in the inferred topology. The algorithm recovers the exact topology of the network by using only time-series of the states at the observed nodes. The effectiveness of the method developed is demonstrated by applying it on a typical distribution system of the electric grid.
Original language | English (US) |
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Title of host publication | 2018 Annual American Control Conference, ACC 2018 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 1096-1101 |
Number of pages | 6 |
ISBN (Print) | 9781538654286 |
DOIs | |
State | Published - Aug 9 2018 |
Event | 2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018 |
Publication series
Name | Proceedings of the American Control Conference |
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Volume | 2018-June |
ISSN (Print) | 0743-1619 |
Other
Other | 2018 Annual American Control Conference, ACC 2018 |
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Country/Territory | United States |
City | Milwauke |
Period | 6/27/18 → 6/29/18 |
Bibliographical note
Publisher Copyright:© 2018 AACC.