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Designing optimal watermark signal for a stealthy attacker
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2017 (English)In: 2016 European Control Conference, ECC 2016, Institute of Electrical and Electronics Engineers (IEEE), 2017, 2258-2262 p., 7810627Conference paper, Published paper (Refereed)
Abstract [en]

Consider a process being controlled remotely by a controller. Let an attacker have access to the communication channel so that she is able to replace the signal transmitted by the controller with any signal she wishes. The attacker wishes to degrade the control performance maximally without being detected. The controller wishes to detect the presence of the attacker by watermarking signaling information in the control input without degrading the control performance. There are no other assumptions on the capabilities of the attacker and the controller. We present an information theoretic formulation of the problem. Our main result is to show that in the one step version of the problem, if the watermark is a Gaussian distributed random variable, then the maximal performance degradation for any given level of stealthiness for the attacker is achieved when the attacker replaces the control input with the realization of a Gaussian random variable. Conversely, we show the watermark signal that minimizes the stealthiness of a Gaussian attacker is also Gaussian.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2017. 2258-2262 p., 7810627
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-208468DOI: 10.1109/ECC.2016.7810627ISI: 000392695300374Scopus ID: 2-s2.0-85015010690ISBN: 9781509025916 (print)OAI: oai:DiVA.org:kth-208468DiVA: diva2:1107158
Conference
2016 European Control Conference, ECC 2016, Aalborg, Denmark, 29 June 2016 through 1 July 2016
Note

QC 20170609

Available from: 2017-06-09 Created: 2017-06-09 Last updated: 2017-06-09Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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