H? filtering for networked systems with partly known distribution transmission delays
This paper studies the H? filtering problem for a class of discrete-time networked systems with partly known distribution transmission delays. It is assumed that the random sensor-filter delay satisfies Markovian characteristics, but the transition probabilities of the delay transferring from one value to others are partly known. A novel measurement model is proposed to reflect the random delay of the transmission modes and the resulting filtering error system is modeled as a Markovian jump system (MJS) with multiple modes and state delay. Sufficient conditions are derived for the filtering error system to be stochastically stable and ensure a prescribed H? disturbance attenuation level bound by using mode-dependent Lyapunov functional approach. Based on the derived conditions, a design procedure for the H? filter is also presented. A numerical example is provided to show the design process of the filter and the effectiveness of the proposed method.
h? filtering networked system markovian jump system random measurement delay system augmentation linear matrix inequality (lmi)