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

Huifang Qu, Fuwen Yang, Qing‐Long Han · 2018

This paper is concerned with the distributed H∞-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∞-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∞sense. On the basis of the T-S fuzzy approach and the Lyapunov functional, distributed H∞-consensus filter design criteria are derived such that the filtering error system is mean-square stochastically stable, and an optimal H∞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.

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