Filter-based secure state estimation for linear time-varying systems under deception attacks

A filter-based secure scheme is investigated for a class of networked linear time-varying systems (NLTVS) under random deception attacks (RDA) in this paper. We assume that the deception attacks (DA) are governed by Bernoulli random variables. Based on the Kalman-type recursive filter structure, a secure state estimator is designed for the NLTVS. An upper bound of the estimation error covariance (EEC) is obtained by a recursive algorithm which can be minimized at each iteration with proper filter gains computed via a simplified matrix approach. A numerical simulation has been performed to verify the effectiveness of the filter-based secure scheme.