Fault Detection and Mitigation in Kirchhoff Networks
Iman Shames, Andre MH Teixeira, Henrik Sandberg, Karl H Johansson
IEEE SIGNAL PROCESSING LETTERS | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2012
In this letter, we study the problem of fault detection and mitigation in networks where the measurements satisfy Kirchhoff's voltage law. First, we characterise the class of faults appearing as an additive fault vector (injected by a malicious adversary or due to equipment failures) that can be detected by taking into account the topology of the network. Second, we consider the problem of estimating the fault vector via tools from compressive sensing. Moreover, we comment on the applicability of the developed methods to the case where the measurements satisfy Kirchhoff's current law. The proposed methods are validated via numerical examples with application to time synchronization networks...View full abstract
Manuscript received July 11, 2012; revised August 27, 2012; accepted August 30, 2012. Date of publication September 07, 2012; date of current version September 12, 2012. This work was supported in part by the Swedish Research Council (VR), the Swedish Foundation for Strategic Research, and by the Knut and Alice Wallenberg Foundation. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Michael Rabbat.