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arXiv · 2209.05146

Secure state estimation over Markov wireless communication channels (extended version)

Anastasia Impicciatore·Anastasios Tsiamis·Yuriy Zacchia Lun·Alessandro D'Innocenzo·George J. Pappas
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Abstract

This note studies state estimation in wireless networked control systems with secrecy against eavesdropping. Specifically, a sensor transmits a system state information to the estimator over a legitimate user link, and an eavesdropper overhears these data over its link independent of the user link. Each connection may be affected by packet losses and is modeled by a finite-state Markov channel (FSMC), an abstraction widely used to design wireless communication systems. This paper presents a novel concept of optimal mean square expected secrecy over FSMCs and delineates the design of a secrecy parameter requiring the user mean square estimation error (MSE) to be bounded and eavesdropper MSE unbounded. We illustrate the developed results on an example of an inverted pendulum on a cart whose parameters are estimated remotely over a wireless link exposed to an eavesdropper.

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Anastasia Impicciatore, Anastasios Tsiamis, Yuriy Zacchia Lun, Alessandro D'Innocenzo, George J. Pappas. 2022-09-12. Secure state estimation over Markov wireless communication channels (extended version). https://arxiv.org/abs/2209.05146

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