H∞ filtering for networked control systems with limited communication via delta operator

In this paper, the problem of filtering for networked control systems using delta operator is investigated, which includes limited communication and packet dropout. A network-based model is considered with a Markov stochastic process and the H_∞ filtering error system is constructed by using Lyapunov-Krasovskii functional in delta domain. A sufficient condition for stochastic stability of the filtering error system with an H_∞ performance index is obtained in terms of linear matrix inequalities (LMI). The explicit expression of the desired filter is also derived. A numerical example shows the effectiveness of the proposed method.