Observer-based H_∞ control for networked systems with bounded random delays and consecutive packet dropouts

摘要

This paper is concerned with the H_∞ control problem for a class of systems with bounded random delays and consecutive packet dropouts that exist in both sensor-to-controller channel and controller-to-actuator channel during data transmission. A new model is developed to describe possible random delays and packet dropouts by two groups of Bernoulli distributed stochastic variables. To avoid the state augmentation, a full-order observer-based feedback controller is designed via LMI approach. Based on the Lyapunov theory, a sufficient condition is provided to guarantee the closed-loop networked system to be asymptotically mean-square stable and achieve the prescribed H_∞ disturbance-rejection-attenuation level. The simulation examples illustrate the effectiveness of the proposed method.