Quantization-Based Finite-Time Distributed $H_{\infty}$ Filtering for Multi-Sensor Systems under DoS Attacks

This paper investigates the issue of distributed
$H_{\infty}$
filtering for multi-sensor systems using quantization, in the presence of DoS (denial-of-service) attacks. Firstly, the logarithmic quantizers are introduced in the data transmission channel, where this quantized data is then used for the filter's input. Secondly, a switching analysis model for the filtering error system under cyber-attacks was established, and sufficient conditions are obtained for the allowed attack frequency and duration of DoS attacks. Then, it is deduced that the filtering error system possesses a finite-time bounded (FTB) characteristic and exhibits an
$H_{\infty}$
performance index. Next, the gains of the designed filter are solved using LMI. Finally, a simulation example is given to verify the effectiveness of the proposed approach.