Distributed non-fragile set-membership filtering for nonlinear systems under fading channels and bias injection attacks

In this paper, the secure distributed set-membership filtering problem is investigated for general nonlinear system over wireless sensor networks. For the purpose of getting close to practical wireless sensor networks, both the bias injection attacks and the channel fading of wireless communication are taken into account in the procedure of filter design. By employing linear matrix inequality (LMI) technique and Taylor's expansion formula, the nonlinearity, the channel fading, the bias injection attacks and the non-fragile are handled simultaneously in the set-membership filtering framework and the filter design problem is addressed. For the pre-specified filtering performance, sufficient conditions are obtain to ensure the existence of desired filter, where the filter gains are acquired via solving certain recursive LMI. Furthermore, in order to look for the locally best performance, an optimal algorithm is proposed. Finally, a simulation example is given to demonstrate the effectiveness of our proposed secure filtering algorithm.

Automated summary

This paper investigates the secure distributed set-membership filtering problem for general nonlinear systems over wireless sensor networks. Bias injection attacks and channel fading of wireless communication are taken into account in filter design. By using LMI technique and Taylor's expansion formula, nonlinearity, channel fading, bias injection attacks, and non-fragility are handled simultaneously to address the filter design problem. Sufficient conditions are obtained for pre-specified filtering performance, and an optimal algorithm is proposed for locally best performance. Simulation example demonstrates the effectiveness of the proposed secure filtering algorithm.