Distributed H<inf>∞</inf>-Consensus Filtering for a Networked Time-Delay System with Switching Network Topology and Packet Dropouts

This paper is concerned with the distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> -consensus filtering problem for a networked system with random and time-varying state delays, switching network topology and different communication channels-induced packet dropouts with different missing rates. The purpose of the addressed problem is to design a distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> -consensus filter to guarantee the robustness of the filtering error system to both random and time-varying state delays, different communication channels-induced packet losses and switching network topology, and the minimization of the consensus-based estimation deviations in the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> sense. On the basis of the T-S fuzzy approach and the Lyapunov functional, distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> -consensus filter design criteria are derived such that the filtering error system is mean-square stochastically stable, and an optimal H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> disturbance rejection attenuation performance index is achieved for the consensus-based estimation deviations. A simulation example is conducted to verify the usefulness of the proposed filter design approach.