H∞ filtering for T–S fuzzy networked systems with stochastic multiple delays and sensor faults

Abstract

This paper deals with the problem of H∞ filter design for a class of nonlinear networked systems based on T–S fuzzy model with multiple stochastic time-varying delays, and sensor faults and packet dropouts are considered simultaneously. A sequence of stochastic and independent variables, which obey the Bernoulli distribution, are introduced to depict stochastic time-varying delays. The possible of sensor failure can be described by unrelated random variables taking values on an interval, and the packet dropouts are described as a set of Bernoulli distributed white noises. The approach of piecewise quadratic Lyapunov function is applied to reduce the conservatism. The filter parameters are obtained by solving a set of linear matrix inequalities. Finally, a simulation example is provided to illustrate the effectiveness of the proposed filter design approach.