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Sequential Detection of Deception Attacks in Networked Control Systems with Watermarking
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.ORCID iD: 0000-0003-0762-5743
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.ORCID iD: 0000-0001-9066-5468
2019 (English)In: 2019 18th European Control Conference (ECC), IEEE, 2019, p. 883-890Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we investigate the role of a physical watermarking signal in quickest detection of a deception attack in a scalar linear control system where the sensor measurements can be replaced by an arbitrary stationary signal generated by an attacker. By adding a random watermarking signal to the control action, the controller designs a sequential test based on a Cumulative Sum (CUSUM) method that accumulates the log-likelihood ratio of the joint distribution of the residue and the watermarking signal (under attack) and the joint distribution of the innovations and the watermarking signal under no attack. As the average detection delay in such tests is asymptotically (as the false alarm rate goes to zero) upper bounded by a quantity inversely proportional to the Kullback-Leibler divergence(KLD) measure between the two joint distributions mentioned above, we analyze the effect of the watermarking signal variance on the above KLD. We also analyze the increase in the LQG control cost due to the watermarking signal, and show that there is a tradeoff between quick detection of attacks and the penalty in the control cost. It is shown that by considering a sequential detection test based on the joint distributions of residue/innovations and the watermarking signal, as opposed to the distributions of the residue/innovations only, we can achieve a higher KLD, thus resulting in a reduced average detection delay. We also present some new structural results involving the associated KLD and its behaviour with respect to the attacker's signal power and the watermarking signal power. These somewhat non-intuitive structural results can be used by either the attacker to choose their power to minimize the KLD, and/or by the system designer to choose its watermarking signal variance appropriately to increase the KLD. Numerical results are provided to support our claims.

Place, publisher, year, edition, pages
IEEE, 2019. p. 883-890
National Category
Control Engineering Telecommunications
Identifiers
URN: urn:nbn:se:uu:diva-396473DOI: 10.23919/ECC.2019.8796303ISI: 000490488300142ISBN: 978-3-907144-00-8 (electronic)OAI: oai:DiVA.org:uu-396473DiVA, id: diva2:1370154
Conference
18th European Control Conference (ECC), Naples, Italy, June 25-28, 2019
Available from: 2019-11-14 Created: 2019-11-14 Last updated: 2019-11-14Bibliographically approved

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Dey, SubhrakantiAhlén, Anders

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