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

摘要

An $H_{infty}$ 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 $H_{infty}$ filter can make the system not only to be stochastically stable but also achieve $H_{infty}$ performance via linear matrix inequality (LMI) approach. The specific parameters of $H_{infty}$ filter are acquired. Numerical examples verify the feasibility of the presented approach.