Robust mixed H∞ and passive filtering for networked Markov jump systems with impulses

This paper deals with the problem of mixed H∞ and passive filter design for Markovian jump impulsive networked control systems with norm bounded uncertainties and random packet dropouts. The system under consideration is modeled by means of an impulsive subsystem, and the network-induced imperfections like packet dropout and delay are described by a Bernoulli distributed white sequence. The delay in the model is assumed to be time-varying. The mode-dependent conditions are established to guarantee the filtering error system to be robustly stochastically stable and achieve a prescribed mixed H∞ and passivity performance index. The sufficient conditions for the existence of admissible filters are expressed by using the linear matrix inequality (LMI) approach and convex optimization problem. The corresponding filter parameters can be obtained by solving the set of LMIs, which can be easily facilitated by using some standard numerical packages. Finally, a numerical example is given to illustrate the effectiveness and potential of the proposed filter design.