H∞ full-order filter design for networked systems with missing measurement and transmission delays

This paper investigates the H_∞ full-order filter design problem for a class of networked systems with missing measurements and random transmission delays. Due to the existence of network, the measured output of the system will unavoidably be lost or be received with random delays. Two Bernoulli-distributed random variables are adopted to describe the multiple packet dropouts and random delays simultaneously. By defining some new variables, the original system can be converted into stochastic parameter system. Based on Lyapunov Theory and the linear matrix inequality (LMI) technique, a full-order H_∞ filter is designed to guarantee the prescribed H_∞ performance and make the filtering error system exponentially mean-square stable. A numerical example is given to illustrate the effectiveness of the proposed method.