H∞ filtering for networked T-S fuzzy systems with medium access constraint

In this paper, the problem of H_∞ filtering is investigated for a class of discrete-time T-S fuzzy systems with medium access constraint. The sensor nodes of the physical plant are distributed over a large space and the measured information are transmitted to the filter side via a communication channel, by which only one sensor node can access the shared network at one instant. The accessibility of these nodes is determined by medium access control with a prescribed probability. Based on a piecewise-Lyapunov function, an approach to the design of H_∞-piecewise filter is proposed such that the filtering error system is stochastically stable with a guaranteed H_∞ performance, and the developed filter gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to show the effectiveness of the proposed method.