H∞ Filtering for Delta Operator Networked Systems with Random Delays and Multiple Data Losses

An H
_∞
filter is designed for networked control systems (NCSs) with multiple data losses and one-step random delays. Based on the described delta operator model with data losses and stochastic delays simultaneously, the Lyapunov-Karasovskii functional is constructed. The designed H
_∞
filter can make the system not only to be stochastically stable but also achieve H
_∞
performance via linear matrix inequality (LMI) approach. The specific parameters of H
_∞
filter are acquired. Numerical examples verify the feasibility of the presented approach.