Robust H-infinity Filtering for Discrete-time Singular Markovian Jump Systems over Networks

This paper focuses on the H-infinity filtering for a class of discrete-time singular systems with Markovian jump parameters, whose system mode is transmitted through an unreliable network. The considered systems are more general than two special cases of singular Markovian jump systems with mode-dependent or mode-independent, a new partially mode dependent filter is established via using a mode-dependent Lyapunov function. The corresponding filter parameters can be obtained by solving a set of linear matrix inequalities without decomposing the original system matrix. The designed linear robust filter ensuring that the filtering error system is to be regular, causal, stochastically stable and satisfies H-infinity performance. In addition, a numerical example is given to illustrate the effectiveness of the proposed approach.