Attack correction for noise-free linear systems subject to sensor attacks

Abstract

We address the problem of attack detection and attack correction for multi-output discrete-time linear time-invariant systems under sensor attacks. More specifically, we focus on the situation where adversarial attack signals are added to some of the systems output signals. A ‘security index’ is defined to characterize the vulnerability of a system against such sensor attacks and methods are given to calculate this index for various system representations. Algorithms are presented to detect and correct for sensor attacks on a noise-free linear system.