Design and analysis of H∞ filter for a class of T-S fuzzy system with redundant channels and multiplicative noises

This paper investigates the design and analysis problem of H∞ filter for a class of nonlinear systems based on T-S fuzzy models with both multiplicative noises and redundant channels, which are governed by a set of Bernoulli distributed white sequences. The packet dropout's probability of the i-th channel depends on random Bernoulli variables. The aim of this study is to design and analyze an H∞ filter that can stabilize the T-S fuzzy filtering error dynamics. By utilizing both Lyapunov functional approach and stochastic analysis technique, we establish some sufficient conditions such that the addressed system is asymptotically stable in the mean square with a given H∞ performance. The needed filtering parameters are obtained by making use of the matrix inequalities' solution. In the end, an example is given to demonstrate the effectiveness and usefulness of the proposed filtering approach.