Observer-based H_∞ control for networked control systems with multiple packet dropouts

This paper investigates the observer-based H_∞ control problem for networked control systems (NCSs) with random packet dropouts. A general model with multiple independent stochastic variables in multiple channels case is adopted to describe the data missing in the limited communication channels. With the consideration of the sensor-to-controller and controller-to-actuator packet dropouts at the same time, a new method is proposed based on a separation lemma to design an observer-based H _∞ controller, which exponentially stabilizes the closed-loop system in the sense of mean square and also achieves a prescribed H _∞ disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed control method.