H∞ Filtering for Networked T-S Fuzzy Systems With Medium Access Constraint

In this paper, the problem of H-infinity 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-infinity-piecewise filter is proposed such that the filtering error system is stochastically stable with a guaranteed H-infinity 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.