Lasso-based state estimation for cyber-physical systems under sensor attacks

Fuente: arXiv
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Autores principales: Cerone, Vito, Fosson, Sophie M., Regruto, Diego, Ripa, Francesco
Formato: Preprint
Publicado: 2024
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author Cerone, Vito
Fosson, Sophie M.
Regruto, Diego
Ripa, Francesco
author_facet Cerone, Vito
Fosson, Sophie M.
Regruto, Diego
Ripa, Francesco
contents The development of algorithms for secure state estimation in vulnerable cyber-physical systems has been gaining attention in the last years. A consolidated assumption is that an adversary can tamper a relatively small number of sensors. In the literature, block-sparsity methods exploit this prior information to recover the attack locations and the state of the system. In this paper, we propose an alternative, Lasso-based approach and we analyse its effectiveness. In particular, we theoretically derive conditions that guarantee successful attack/state recovery, independently of established time sparsity patterns. Furthermore, we develop a sparse state observer, by starting from the iterative soft thresholding algorithm for Lasso, to perform online estimation. Through several numerical experiments, we compare the proposed methods to the state-of-the-art algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20209
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lasso-based state estimation for cyber-physical systems under sensor attacks
Cerone, Vito
Fosson, Sophie M.
Regruto, Diego
Ripa, Francesco
Optimization and Control
Systems and Control
The development of algorithms for secure state estimation in vulnerable cyber-physical systems has been gaining attention in the last years. A consolidated assumption is that an adversary can tamper a relatively small number of sensors. In the literature, block-sparsity methods exploit this prior information to recover the attack locations and the state of the system. In this paper, we propose an alternative, Lasso-based approach and we analyse its effectiveness. In particular, we theoretically derive conditions that guarantee successful attack/state recovery, independently of established time sparsity patterns. Furthermore, we develop a sparse state observer, by starting from the iterative soft thresholding algorithm for Lasso, to perform online estimation. Through several numerical experiments, we compare the proposed methods to the state-of-the-art algorithms.
title Lasso-based state estimation for cyber-physical systems under sensor attacks
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2405.20209