Distributed Set-Membership Filtering for Discrete-Time Systems Subject to Denial-of-Service Attacks and Fading Measurements: A Zonotopic Approach

Abstract A distributed set-membership filter is designed for a kind of systems with unknown but bounded (UBB) noises over wireless sensor networks. The Denial-of-Service (DoS) attacks and the fading effects on the sensor measurements are taken into account simultaneously. To reveal the fluctuations of network environment, the coefficients of the fading channels are described by uncertain variables which take values over an interval. The objective of this paper is to estimate the desired sets involving actual states of the plant by implementing the consistency tests among the state sets, the measured outputs and the neighbor information. A recursive scheme on zonotopes involving the real system state is established in light of the zonotopic method, where an outer approximation of the exact uncertain set is performed. Moreover, based on the proposed outer approximation minimization criterion, an optimization issue is proposed to seek the parameters of the intersection zonotope. Finally, two illustrative simulations are utilised to state the feasibility of the proposed filter.