Event-triggered mixed H∞ and passive filtering for discrete-time networked singular Markovian jump systems

摘要

The mixed H∞ and passive filtering problem for a class of discrete-time networked singular Markovian jump systems (SMJSs) is investigated in this paper. To reduce transmission of signals in the limited bandwidth networks, a novel event-triggered scheme (ETS) is proposed. A networked singular Markovian jump filtering error system (FES) with time-delay is established by considering the network communication characteristic and the ETS. By utilizing Lyapunov–Kravoskii stability theory, some new criteria are derived in the form of linear matrix inequalities (LMIs) such that the FES is stochastically admissible (SA) and has a prescribed level of mixed H∞ and passive performance. The co-design method is given, which can realize the synchronous design for the filter and ETS parameters. The proposed method can deal with the mode-dependent or mode-independent filter design problems for SMJSs including H∞, passive and mixed filter (i.e., mixed H∞ and passive filter) in a unified form. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed method.