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GPS Spoofing Mitigation and Timing Risk Analysis in Networked PMUs via\n Stochastic Reachability

2021/01/12 by Sriramya Bhamidipati, Grace Gao, Bhamidipati, Sriramya +1
Computer Science · #Distributed systems and fault tolerance #FOS: Computer and information sciences #FOS: Electrical engineering #Multiagent Systems (cs.MA) #Network Time Synchronization Technologies #Real-Time Systems Scheduling #Robotics (cs.RO) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2101.04835

openalex publication_date 2021/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

To address PMU vulnerability against spoofing, we propose a set-valued state\nestimation technique known as Stochastic Reachability-based Distributed Kalman\nFilter (SR-DKF) that computes secure GPS timing across a network of receivers.\nUtilizing stochastic reachability, we estimate not only GPS time but also its\nstochastic reachable set, which is parameterized via probabilistic zonotope\n(p-Zonotope). While requiring known measurement error bounds in only\nnon-spoofed conditions, we design a two-tier approach: We first perform\nmeasurement-level spoofing mitigation via deviation of measurement innovation\nfrom its expected p-Zonotope and second perform state-level timing risk\nanalysis via intersection probability of estimated pZonotope with an unsafe set\nthat violates IEEE C37.118.1a-2014 standards. We validate the proposed SR-DKF\nby subjecting a simulated receiver network to coordinated signal-level\nspoofing. We demonstrate improved GPS timing accuracy and successful spoofing\nmitigation via our SR-DKF. We validate the robustness of the estimated timing\nrisk as the number of receivers is varied.\n

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