H∞ filtering of networked systems with multiple packet dropout

This paper is concerned with the H∞ filtering problem for networked systems with multiple packet dropouts. A general model with multiple packet dropouts in multiple channels case is adopted to describe the data missing in the limited communication channels. A latest measurement data dependent Lyapunov function is proposed and exploited to develop a sufficient condition for the H∞ filter design in terms of a linear matrix inequality (LMI). The design guarantees the error system be exponentially mean-square stable and also achieve the prescribed H∞ disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed filter design method.