Data-driven Control Against False Data Injection Attacks

Fuente: arXiv
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Main Authors: Liu, Wenjie, Li, Lidong, Sun, Jian, Deng, Fang, Wang, Gang, Chen, Jie
Format: Preprint
Published: 2023
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_version_ 1866929375231868928
author Liu, Wenjie
Li, Lidong
Sun, Jian
Deng, Fang
Wang, Gang
Chen, Jie
author_facet Liu, Wenjie
Li, Lidong
Sun, Jian
Deng, Fang
Wang, Gang
Chen, Jie
contents The rise of cyber-security concerns has brought significant attention to the analysis and design of cyber-physical systems (CPSs). Among the various types of cyberattacks, denial-of-service (DoS) attacks and false data injection (FDI) attacks can be easily launched and have become prominent threats. While resilient control against DoS attacks has received substantial research efforts, countermeasures developed against FDI attacks have been relatively limited, particularly when explicit system models are not available. To address this gap, the present paper focuses on the design of data-driven controllers for unknown linear systems subject to FDI attacks on the actuators, utilizing input-state data. To this end, a general FDI attack model is presented, which imposes minimally constraints on the switching frequency of attack channels and the magnitude of attack matrices. A dynamic state feedback control law is designed based on offline and online input-state data, which adapts to the channel switching of FDI attacks. This is achieved by solving two data-based semi-definite programs (SDPs) on-the-fly to yield a tight approximation of the set of subsystems consistent with both offline clean data and online attack-corrupted data. It is shown that under mild conditions on the attack, the proposed SDPs are recursively feasible and controller achieves exponential stability. Numerical examples showcase its effectiveness in mitigating the impact of FDI attacks.
format Preprint
id arxiv_https___arxiv_org_abs_2311_08207
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Data-driven Control Against False Data Injection Attacks
Liu, Wenjie
Li, Lidong
Sun, Jian
Deng, Fang
Wang, Gang
Chen, Jie
Systems and Control
The rise of cyber-security concerns has brought significant attention to the analysis and design of cyber-physical systems (CPSs). Among the various types of cyberattacks, denial-of-service (DoS) attacks and false data injection (FDI) attacks can be easily launched and have become prominent threats. While resilient control against DoS attacks has received substantial research efforts, countermeasures developed against FDI attacks have been relatively limited, particularly when explicit system models are not available. To address this gap, the present paper focuses on the design of data-driven controllers for unknown linear systems subject to FDI attacks on the actuators, utilizing input-state data. To this end, a general FDI attack model is presented, which imposes minimally constraints on the switching frequency of attack channels and the magnitude of attack matrices. A dynamic state feedback control law is designed based on offline and online input-state data, which adapts to the channel switching of FDI attacks. This is achieved by solving two data-based semi-definite programs (SDPs) on-the-fly to yield a tight approximation of the set of subsystems consistent with both offline clean data and online attack-corrupted data. It is shown that under mild conditions on the attack, the proposed SDPs are recursively feasible and controller achieves exponential stability. Numerical examples showcase its effectiveness in mitigating the impact of FDI attacks.
title Data-driven Control Against False Data Injection Attacks
topic Systems and Control
url https://arxiv.org/abs/2311.08207