Secure state estimation: Optimal guarantees against sensor attacks in the presence of noise

Motivated by the need to secure cyber-physical systems against attacks, we consider the problem of estimating the state of a noisy linear dynamical system when a subset of sensors is arbitrarily corrupted by an adversary. We propose a secure state estimation algorithm and derive (optimal) bounds on the achievable state estimation error. In addition, as a result of independent interest, we give a coding theoretic interpretation for prior work on secure state estimation against sensor attacks in a noiseless dynamical system.

出于保护信息物理系统免受攻击的需要，我们考虑当一部分传感器被攻击者任意破坏时，估计一个有噪声的线性动态系统状态的问题。我们提出一种安全的状态估计算法，并推导出可实现的状态估计误差的（最优）界限。此外，作为一个具有独立研究价值的结果，我们对无噪声动态系统中针对传感器攻击的安全状态估计的前期工作给出一种编码理论解释。