English

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

Systems and Control 2022-09-13 v1 Systems and Control

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.

Keywords

Cite

@article{arxiv.2209.05146,
  title  = {Secure state estimation over Markov wireless communication channels (extended version)},
  author = {Anastasia Impicciatore and Anastasios Tsiamis and Yuriy Zacchia Lun and Alessandro D'Innocenzo and George J. Pappas},
  journal= {arXiv preprint arXiv:2209.05146},
  year   = {2022}
}
R2 v1 2026-06-28T01:07:03.614Z