$\boldsymbol{H}_{\infty}$ Filtering for Delta Operator Networked Systems with Random Delays and Limited Communication

This paper is concerned with the problem of $\boldsymbol{H}_{\infty}$ filtering for networked control systems. A Bernoulli distributed is used to represent random time-delays and a switched sequence to illustrate limited communication in the considered system. Sufficient conditions that make the filtering error system to be exponentially stable with $\boldsymbol{H}_{\infty}$ performance, are proposed in terms of linear matrix inequalities (LMI) and Lya-punov-Krasovskii functional in delta domain. The parameters of the designed $\boldsymbol{H}_{\infty}$ filter are also developed. A numerical example is provided to show the effectiveness of the presented method.