This paper studies the modelling and stabilization problem for a class of networked control systems (NCSs) with random time delays and packed dropouts based on the average dwell time (ADT) switching approach. A new effective sampling method is presented to deal with time-varying delays, which finally reduces the high dimension and complexity of the NCS model. A class of subsystems is developed for NCS based on a set of switching signals triggered by discretized time delays and packet dropouts. By constructing multiple quadratic Lyapunov-like functions that allowed both decreasing and increasing, sufficient switched stability conditions are derived and a set of mode-dependent feedback controllers are designed for each active mode based on the ADT switching control method to guarantee the stability of the proposed switched NCS with admissible ADT. A do-loop linear matrix inequalities (LMI) optimization problem is formulated to find the control law without predefining the switching sequence and the times when network-induced factors occur. A numerical example is given to illustrate the effectiveness of the proposed method.