Network-based event-triggered H∞ filtering for discrete-time singular Markovian jump systems

This paper is concerned with the network-based H∞ filtering problem for discrete-time singular Markovian jump systems with an event-triggered scheme. To save the limited network resource, a mode-dependent event-triggered scheme is proposed. A network-based singular Markovian jump system with time-delay is established based on the proposed event-triggered scheme. By using the delay partitioning technology, new criteria are derived which guarantee the filtering error system to be regular, causal, stochastically stable with a certain H∞ performance index. The variable order H∞ filters with mode-independent characterization are designed in a unified framework based on criteria. A co-design method for the filter and event-triggered scheme is proposed in terms of the linear matrix inequalities. A numerical example is provided to illustrate the effectiveness of the proposed method.