Simultaneous distributed estimation and attack detection/isolation in social networks: Structural observability, kronecker-product network, and chi-square detector

Mohammadreza Doostmohammadiany*, Themistoklis Charalambous, Miadreza Shafie-khah, Nader Meskin, Usman A. Khan

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

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Abstract

This paper considers distributed estimation of linear systems when the state observations are corrupted with Gaussian noise of unbounded support and under possible random adversarial attacks. We consider sensors equipped with single time-scale estimators and local chi-square $(\chi^{2})$ detectors to simultaneously observe the states, share information, fuse the noise/attack-corrupted data locally, and detect possible anomalies in their own observations. While this scheme is applicable to a wide variety of systems associated with full-rank (invertible) matrices, we discuss it within the context of distributed inference in social networks. The proposed technique outperforms existing results in the sense that: (i) we consider Gaussian noise with no simplifying upper-bound assumption on the support; (ii) all existing $\chi^{2}$-based techniques are centralized while our proposed technique is distributed, where the sensors locally detect attacks, with no central coordinator, using specific probabilistic thresholds; and (iii) no local-observability assumption at a sensor is made, which makes our method feasible for large-scale social networks. Moreover, we consider a Linear Matrix Inequalities (LMI) approach to design block-diagonal gain (estimator) matrices under appropriate constraints for isolating the attacks.

Original languageEnglish
Title of host publicationProceedings of IEEE International Conference on Autonomous Systems, ICAS 2021
PublisherIEEE
Number of pages5
ISBN (Electronic)9781728172897
DOIs
Publication statusPublished - 6 Oct 2021
MoE publication typeA4 Article in a conference publication
EventIEEE International Conference on Autonomous Systems - Virtual, online, Montreal, Canada
Duration: 11 Aug 202113 Aug 2021
https://2021.ieee-icas.org/

Conference

ConferenceIEEE International Conference on Autonomous Systems
Abbreviated titleICAS
Country/TerritoryCanada
CityMontreal
Period11/08/202113/08/2021
Internet address

Keywords

  • Attack detection and isolation
  • Distributed estimation
  • Kronecker-product network
  • X2-test

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