Linear system security -- detection and correction of adversarial attacks in the noise-free case

TL;DR

This paper introduces methods to detect and correct sensor attacks in linear systems by defining a security index, providing algorithms, and illustrating their effectiveness through examples.

Contribution

It presents a novel security index for assessing vulnerability and algorithms for attack detection and correction in noise-free linear systems.

Findings

Security index effectively characterizes system vulnerability

Algorithms successfully detect and correct sensor attacks

Illustrative examples demonstrate practical applicability

Abstract

We address the problem of attack detection and attack correction for multi-output discrete-time linear time-invariant systems under sensor attack. More specifically, we focus on the situation where adversarial attack signals are added to some of the system's output signals. A 'security index' is defined to characterize the vulnerability of a system against such sensor attacks. Methods to compute the security index are presented as are algorithms to detect and correct for sensor attacks. The results are illustrated by examples involving multiple sensors.