For variable sampling period networked control systems with time-varying delay and random packet-dropouts, a collaborative design method of robustcontrol and sampling cycle scheduling is proposed. Using the maximum membership degree defuzzification method in fuzzy control, the sampling period is switched between several fixed values according to the size of system error, and the state feedback matrix K satisfying theperformance index under each sampling period is calculated respectively. The controller selects the corresponding feedback matrix according to the current sampling period to calculate the control quantity，which can avoid the strong conservatism caused by considering both time-varying sampling period and time-varying delay. When robust controller is designed, Markov chain is used to describe the random packet-dropouts of the system, which makes the modeling closer to the actual situation. Using the nominal point method to determine the norm bound of the system uncertainty composed of time delay can further reduce the conservatism. Finally, numerical simulation results verify the feasibility and effectiveness of the cooperative design method.