Joint controller and detector design against data injection attacks on actuators

Anand, Sribalaji C.; Teixeira, André

doi:10.1016/j.ifacol.2020.12.1291

Cited by 7 publications

(12 citation statements)

References 20 publications

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“…Finally, we consider a recently proposed impact metric: Output-to-Output Gain (OOG) [17]. The main advantage of using this impact metric, as opposed to the classical H ∞ and H metrics is, the OOG metric based design problem focuses on improving detectability only when the impact of the attack is sufficiently high at the same frequency [18]. In other words, the OOG metric is more amenable to risk-optimal system design for increased security.…”

Section: A Related Workmentioning

confidence: 99%

“…In conclusion, it follows that the optimization problem (17) can be solved approximately with a discrete set Ω N2 of arbitrary but bounded cardinality. Thus, the next section will focus on solving the optimization problem (18).…”

Section: A Approximating the Uncertainty Setmentioning

confidence: 99%

Section: B Risk Assessmentmentioning

confidence: 99%

“…This section aims to describe an approach to solve (18). The optimization problem (18) has two main disadvantages namely (i) it is a non-convex optimization problem, and (ii) its constraints lie in the infinite-dimensional attack space. To resolve these disadvantages, we adopt S-procedure and dissipative system theory and revisit the optimization problem (18) in the theorem below.…”

Section: B Risk Assessmentmentioning

confidence: 99%

“…The optimization problem (18) has two main disadvantages namely (i) it is a non-convex optimization problem, and (ii) its constraints lie in the infinite-dimensional attack space. To resolve these disadvantages, we adopt S-procedure and dissipative system theory and revisit the optimization problem (18) in the theorem below. To begin with, given a sampled uncertainty δ i ∈ Ω, we define Σp,i (A cl,i , B cl,i , C p,i , D p,i ) and Σr,i (A cl,i , B cl,i , C r,i , D r,i ) with y p (δ i ) = y pi , y r (δ i ) = y ri and x(δ i ) = x i as the outputs and states of Σp,i and Σr,i correspondingly.…”

Section: B Risk Assessmentmentioning

confidence: 99%

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Risk Assessment of Stealthy Attacks on Uncertain Control Systems

Anand¹,

Teixeira²,

Åhlén³

2021

Preprint

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In this article, we address the problem of risk assessment of stealthy attacks on uncertain control systems. Considering data injection attacks that aim at maximizing impact while remaining undetected, we use the recently proposed output-to-output gain to characterize the risk associated with the impact of attacks in two setups: A full system knowledge attacker and a limited system knowledge attacker. The risk in each setup is formulated using a well-established risk metric, namely the Value-at-Risk and the maximum expected loss, respectively. Under these setups, the risk assessment problem corresponds to an untractable infinite non-convex optimization problem. To address this limitation, we adopt the framework of scenario-based optimization to approximate the infinite non-convex optimization problem by a sampled non-convex optimization problem. Then, based on the framework of dissipative system theory and S-procedure, the sampled non-convex risk assessment problem is formulated as an equivalent convex semi-definite program. Additionally, we derive the necessary and sufficient conditions for the risk to be bounded. Finally, we illustrate the results through numerical simulation of a hydro-turbine power system.

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Section: A Related Workmentioning

confidence: 99%

Section: A Approximating the Uncertainty Setmentioning

confidence: 99%

Section: B Risk Assessmentmentioning

confidence: 99%

Section: B Risk Assessmentmentioning

confidence: 99%

Section: B Risk Assessmentmentioning

confidence: 99%

See 3 more Smart Citations

Risk Assessment of Stealthy Attacks on Uncertain Control Systems

Anand¹,

Teixeira²,

Åhlén³

2021

Preprint

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Design of multiplicative watermarking against covert attacks

Gallo

Anand

Teixeira

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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This paper addresses the design of an active cyberattack detection architecture based on multiplicative watermarking, allowing for detection of covert attacks. We propose an optimal design problem, relying on the so-called output-tooutput 2-gain, which characterizes the maximum gain between the residual output of a detection scheme and some performance output. Although optimal, this control problem is non-convex. Hence, we propose an algorithm to design the watermarking filters by solving the problem suboptimally via LMIs. We show that, against covert attacks, the output-to-output 2-gain is unbounded without watermarking, and we provide a sufficient condition for boundedness in the presence of watermarks.

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Stealthy Cyber-Attack Design Using Dynamic Programming

Anand

Teixeira

2021

2021 60th IEEE Conference on Decision and Control (CDC)

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Joint controller and detector design against data injection attacks on actuators

Cited by 7 publications

References 20 publications

Risk Assessment of Stealthy Attacks on Uncertain Control Systems

Risk Assessment of Stealthy Attacks on Uncertain Control Systems

Design of multiplicative watermarking against covert attacks

Stealthy Cyber-Attack Design Using Dynamic Programming

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