Title
An Online Approach to Physical Watermark Design
Abstract
This article considers the problem of designing physical watermark signals in order to optimally detect possible replay attack in a linear time-invariant system, under the assumption that the system parameters are unknown and need to be identified online. We first provide a replay attack model, where an adversary replays the previous sensor data in order to fool the system. A physical watermarking scheme, which leverages a random input as a watermark to detect the replay attack, is then introduced. The optimal watermark signal design problem is cast as an optimization problem, which aims to achieve the optimal trade-off between control performance and intrusion detection. An online watermarking design and system identification algorithm is provided to deal with systems with unknown parameters. We prove that the proposed algorithm converges to the optimal one and characterize the almost sure convergence rate. An industrial process example is provided to illustrate the effectiveness of the proposed strategy.
Year
DOI
Venue
2020
10.1109/TAC.2020.2971994
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Cyber-physical system,intrusion detection,security,system identification
Journal
65
Issue
ISSN
Citations 
9
0018-9286
2
PageRank 
References 
Authors
0.36
4
5
Name
Order
Citations
PageRank
Hanxiao Liu134418.35
Yilin Mo289151.51
Jiaqi Yan38620.10
Lihua Xie45686405.63
Karl Henrik Johansson53996322.75