Observer-based H∞ design for networked control system with multipath delays and missing measurements

This paper investigates the stochastic stability of networked control systems. Since the signal transmission in communication channels would suffer from some disturbances, both of the input and output communication delays and missing measurements are considered. An observer-based feedback controller is designed for the networked control system achieving asymptotically stable in mean square with guaranteed H
_∞
performance disturbance level γ. By means of the singular values decomposition theorem, some sufficient conditions are derived to grantee the stability of the networked control system. Additionally, rigorous analysis is carried out to show the existence of admissible observed-based feedback controller by introducing some weight-free matrices variables. Finally, a numerical example is presented to illustrate the validity of the theoretical analysis.