2019/03/13 by Xiaoqiang Ren, Ren, Xiaoqiang, Yilin Mo +5 · 2 citations
Computer Science · Engineering · #Distributed Sensor Networks and Detection Algorithms #FOS: Electrical engineering #Fault Detection and Control Systems #Smart Grid Security and Resilience #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1903.05698
openalex publication_date 2019/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper studies static state estimation in multi-sensor settings, with a caveat that an unknown subset of the sensors are compromised by an adversary, whose measurements can be manipulated arbitrarily. The attacker is able to compromise q out of m sensors. A new performance metric, which quantifies the asymptotic decay rate for the probability of having an estimation error larger than δ, is proposed. We develop an optimal estimator for the new performance metric with a fixed δ, which is the Chebyshev center of a union of ellipsoids. We further provide an estimator that is optimal for every δ, for the special case where the sensors are homogeneous. Numerical examples are given to elaborate the results.