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Resilient Set-based State Estimation for Linear Time-Invariant Systems Using Zonotopes

2022/11/15 by Muhammad Umar B. Niazi, Niazi, Muhammad Umar B., Amr Alanwar +5 · 1 citation
Computer Science · Engineering · #Advanced Control Systems Optimization #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #Target Tracking and Data Fusion in Sensor Networks #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2211.08474

openalex publication_date 2022/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

This paper considers the problem of set-based state estimation for linear time-invariant (LTI) systems under time-varying sensor attacks. Provided that the LTI system is stable and observable via every single sensor and that at least one sensor is uncompromised, we guarantee that the true state is always contained in the estimated set. We use zonotopes to represent these sets for computational efficiency. However, we show that intelligently designed stealthy attacks may cause exponential growth in the algorithm's worst-case complexity. We present several strategies to handle this complexity issue and illustrate our resilient zonotope-based state estimation algorithm on a rotating target system.

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