Observer-based H-infinity control in multiple channel networked control systems with random packet dropouts

This paper investigates the observer-based $H_{\infty}$ control problem for networked control systems (NCSs) with random packet dropouts. A general packet dropout 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 $H_{\infty}$ controller, which exponentially stabilizes the closed-loop system in the sense of mean square and also achieves a prescribed $H_{\infty}$ disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed control method.