Asynchronous H∞ filtering of switched time-delay systems with network induced random occurrences

This work studies the asynchronous H∞ filtering problem for a class of discrete-time switched time-delay systems. The word “asynchronous” means that the switching of the filters has a lag to the switching of system modes due to the network induced random occurrences, which includes both the sensor saturations and the missing measurements. First, new results on the regional stability and l2 gain analysis for the underlying system are given by allowing the Lyapunov-like function (LLF) to increase with a random probability during the unmatched period of the switching mode and the filter. Then, a regional H∞ filter with a modified mode dependent ellipsoid constraint is designed such that the filtering error dynamics is asymptotically stable in the mean square sense with a given disturbance attenuation level. Finally, a numerical example is given to verify the efficiency of the proposed method.