H∞ control for networked control system with random consecutive packet dropouts

This paper is concerned with state feedback H_∞ control problem for networked control systems with random consecutive packet dropouts. Here the packet dropouts exist both from the sensor to the controller and from the controller to the actuator which are modeled as a product of independent stochastic variables. By using a novel model, the effect of the random consecutive packet dropouts on the system performance is studied. The state feedback controller is designed to stabilize the closed-loop system exponentially mean-square stable and with a prescribed H_∞ performance bound. An example is presented to illustrate the effectiveness of the proposed method.