Distributed Filtering for Fuzzy Time-Delay Systems With Packet Dropouts and Redundant Channels

Abstract

This paper is concerned with the distributed $ {H}_{ {\infty } }$ filtering problem for a class of discrete-time Takagi–Sugeno fuzzy systems with time-varying delays. The data communications among sensor nodes are equipped with redundant channels subject to random packet dropouts that are modeled by mutually independent Bernoulli stochastic processes. The practical phenomenon of the uncertain packet dropout rate is considered, and the norm-bounded uncertainty of the packet dropout rate is asymmetric to the nominal rate. Sufficient conditions on the existence of the desired distributed filters are established by employing the scaled small gain theorem to ensure that the closed-loop system is stochastically stable and achieves a prescribed average $ {H}_{ {\infty } }$ performance index. Finally, an illustrative example is provided to verify the theoretical findings.