Article (Scientific journals)
An application of linear algebra theory in networked control systems: stochastic cyber-attacks detection approach
Li, Yumei; Voos, Holger; Darouach, Mohamed et al.
2015In IMA Journal of Mathematical Control and Information, p. 1-22
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Keywords :
cyber-attack detection; multiple stochastic cyber-attacks; stochastic DoS attack
Abstract :
[en] Based on the traditional linear algebra theory, this paper propose the attack detection schemes for networked control systems (NCSs) under single stochastic cyber-attack and multiple stochastic cyber-attacks aiming at multiple communication channels of NCSs, respectively. The focus is on designing an anomaly detector for NCSs under cyber-attacks. First, we construct a model of stochastic NCSs with stochastic cyber-attacks which satisfy the Markovian stochastic process. And we also introduced the stochastic attack models that NCSs are possibly exposed to. Next, based on the frequency-domain transformation technique and linear algebra theory, we propose the algebraic detection schemes for possible stochastic cyber-attacks. We transform the detector error dynamics into algebraic equations. By applying the presented approaches, residual information that is caused by different attacks is, respectively, obtained and anomalies on the control system are detected. In addition, sufficient and necessary conditions guaranteeing the detectability of the stochastic cyber-attacks are obtained. The presented detection approaches in this paper are simple, straightforward and easy to implement. The aim of this work is to use traditional mathematics tools to solve new problems that arise from the complex NCSs. Finally, two simulation examples are provided. The simulation results underline that the detection approaches are effective and feasible in practical application.
Research center :
SnT
Disciplines :
Electrical & electronics engineering
Author, co-author :
Li, Yumei ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Voos, Holger  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Darouach, Mohamed;  Universite de Lorraine, Longwy, France > Centre de la Recherche en Automatique de Nancy (CRAN)
Hua, Changchun;  Yanshan University, China > Institute of Electrical Engineering
External co-authors :
yes
Language :
English
Title :
An application of linear algebra theory in networked control systems: stochastic cyber-attacks detection approach
Publication date :
10 June 2015
Journal title :
IMA Journal of Mathematical Control and Information
ISSN :
1471-6887
Publisher :
Oxford University Press, Oxford, United Kingdom
Special issue title :
Structural methods for control of complex systems
Pages :
1-22
Peer reviewed :
Peer Reviewed verified by ORBi
FnR Project :
FNR1206050 - Integrated Security And Safety Engineering For Networked Control Systems, 2011 (15/06/2012-14/06/2015) - Holger Voos
Funders :
FNR - Fonds National de la Recherche [LU]
Available on ORBilu :
since 27 August 2015

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