A Zonotopic-Based Watermarking Design to Detect Replay Attacks

This paper suggests the use of zonotopes for the design of watermark signals. The proposed approach exploits the recent analogy found between stochastic and zonotopic-based estimators to propose a deterministic counterpart to current approaches that study the replay attack in the context of stationa...

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Detalles Bibliográficos
Autores: Trapiello Fernández, Carlos, Puig, Vicenç
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/295790
Acceso en línea:http://hdl.handle.net/10261/295790
Access Level:acceso abierto
Palabra clave:Optimal control
Physical watermarking
Replay attack
Zonotopes
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spelling A Zonotopic-Based Watermarking Design to Detect Replay AttacksTrapiello Fernández, CarlosPuig, VicençOptimal controlPhysical watermarkingReplay attackZonotopesThis paper suggests the use of zonotopes for the design of watermark signals. The proposed approach exploits the recent analogy found between stochastic and zonotopic-based estimators to propose a deterministic counterpart to current approaches that study the replay attack in the context of stationary Gaussian processes. In this regard, the zonotopic analogous case where the control loop is closed based on the estimates of a zonotopic Kalman filter (ZKF) is analyzed. This formulation allows to propose a new performance metric that is related to the Frobenius norm of the prediction zonotope. Hence, the steady-state operation of the system can be related with the size of the minimal Robust Positive Invariant set of the estimation error. Furthermore, analogous expressions concerning the impact that a zonotopic/Gaussian watermark signal has on the system operation are derived. Finally, a novel zonotopically bounded water-mark signal that ensures the attack detection by causing the residual vector to exit the healthy residual set during the replay phase of the attack is introduced. The proposed approach is illustrated in simulation using a quadruple-tank process.Peer reviewedInstitute of Electrical and Electronics EngineersConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2023202320222023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/10261/295790reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1109/JAS.2022.105944Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2957902026-05-22T06:33:51Z
dc.title.none.fl_str_mv A Zonotopic-Based Watermarking Design to Detect Replay Attacks
title A Zonotopic-Based Watermarking Design to Detect Replay Attacks
spellingShingle A Zonotopic-Based Watermarking Design to Detect Replay Attacks
Trapiello Fernández, Carlos
Optimal control
Physical watermarking
Replay attack
Zonotopes
title_short A Zonotopic-Based Watermarking Design to Detect Replay Attacks
title_full A Zonotopic-Based Watermarking Design to Detect Replay Attacks
title_fullStr A Zonotopic-Based Watermarking Design to Detect Replay Attacks
title_full_unstemmed A Zonotopic-Based Watermarking Design to Detect Replay Attacks
title_sort A Zonotopic-Based Watermarking Design to Detect Replay Attacks
dc.creator.none.fl_str_mv Trapiello Fernández, Carlos
Puig, Vicenç
author Trapiello Fernández, Carlos
author_facet Trapiello Fernández, Carlos
Puig, Vicenç
author_role author
author2 Puig, Vicenç
author2_role author
dc.contributor.none.fl_str_mv Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Optimal control
Physical watermarking
Replay attack
Zonotopes
topic Optimal control
Physical watermarking
Replay attack
Zonotopes
description This paper suggests the use of zonotopes for the design of watermark signals. The proposed approach exploits the recent analogy found between stochastic and zonotopic-based estimators to propose a deterministic counterpart to current approaches that study the replay attack in the context of stationary Gaussian processes. In this regard, the zonotopic analogous case where the control loop is closed based on the estimates of a zonotopic Kalman filter (ZKF) is analyzed. This formulation allows to propose a new performance metric that is related to the Frobenius norm of the prediction zonotope. Hence, the steady-state operation of the system can be related with the size of the minimal Robust Positive Invariant set of the estimation error. Furthermore, analogous expressions concerning the impact that a zonotopic/Gaussian watermark signal has on the system operation are derived. Finally, a novel zonotopically bounded water-mark signal that ensures the attack detection by causing the residual vector to exit the healthy residual set during the replay phase of the attack is introduced. The proposed approach is illustrated in simulation using a quadruple-tank process.
publishDate 2022
dc.date.none.fl_str_mv 2022
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/295790
url http://hdl.handle.net/10261/295790
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1109/JAS.2022.105944
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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