H2/H∞ Filtering for Delta Operator Networked Systems with Multi-Channel Delay, Packet Dropout and Sequence Disorder

This paper investigates the design of H2 / H∞ filter for networked system with multi-channel packet loss, delay and disorder in the way of delta operator. In every different channel, the filter is described by a two-state Markov chain. The filtering error system is modeled by a Markov jump system with multiple modes. Sufficient conditions for the stochastic stable filtering error system are proposed by Lyapunov functional approach. We get the parameters of the H2 / H∞ filter by linear matrix inequalities (LMIs). The designed filter guarantees a prescribed performance index. Number examples illustrate the feasibility of the proposed method.