Abstract
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.
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