Robust H_∞ control of networked control systems with short delays and packet dropouts

The H_∞ control problem was addressed for a class of networked control systems(NCSs)with network-induced delays and packet dropouts. For the case that short delays and packet dropouts existed in both the backward and the forward channels, the NCS was modeled as a switched system with four subsystems via system states augmentation. A new type of static output feedback control law was proposed based on the augmented system model. By using the notion of time-window packet dropout rate and the average dwell time method, sufficient conditions was obtained for the robust stability and the weighted H_∞ performance of the closed-loop NCS. To achieve synthesis of the output feedback robust H_∞ controller, for which the gain varied according to the mode of packet dropouts of dual channels, design procedures were given by applying the linear matrix inequality technique and the cone complementarity linearization algorithm. The effectiveness of the proposed approach was validated by a design example.