H _∞ filtering of networked switched systems with multiple packet dropouts via switched Lyapunov function approach

Abstract

This study considers a filtering problem for discrete‐time switched systems with multiple packet dropouts. The switching signal may be lost that is similar to the measurement signal during transmission. Also, the multiple packet‐dropouts phenomenon is described by Bernoulli binary sequences. With the aid of a novel switched Lyapunov function containing a random change of switching rate, sufficient conditions in the form of linear matrix inequalities for the desired filter are derived, which ensure the filtering error system is exponentially stable in the sense of mean square with prescribed performance. Finally, a practical example is given to verify the effectiveness of the proposed approaches.