H<inf>∞</inf> filtering for T-S fuzzy systems with random multiple delays and packet dropouts subject to sensor saturations

Abstract

This paper focuses on the problem of H ∞ filter design for a class of Takagi-Sugeno (T-S) fuzzy network-based systems where the measurement output is subject to the sensor saturations described by sector-nonlinearity. The investigated issues caused typically in the wireless communication include the multiple and bounded transmission delays as well as the consecutive packet dropouts whose random nature is governed by Bernoulli distributed random variables. A full-order h ∞ filter is designed such that, in the simultaneous presence of the multiple delays and packet dropouts as well as sensor saturations, the filtering error system is asymptotically mean-square stable and satisfies the prescribed h ∞ performance index. A sufficient condition for the existence of such a filter is established in terms of solutions to a set of linear matrix inequalities (LMIs). Finally, a numerical example is presented to illustrate the effectiveness and the feasibility of the proposed filtering design method.