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In this paper, the guaranteed cost controller with multi-rate sampling is designed for the networked flight control systems with multiple data transmission channels, under the consideration of the networked-induced time delay and packet dropout. Multi-rate refers to different sampling period for each channel in systems with multiple data transmission channels. Considering the time delay and packet dropout, this paper firstly establishes the model for the networked flight control systems over the entire cycle period with the lifted technology. Based on this model, a predictive equation for the output of the object and a dynamic output feedback controller with multi-rate are designed to make the multi-rate control actions more effective. Sufficient conditions to guarantee the stability and performance index of control system and solutions of this problem is derive. Then the numerical simulation on a networked flight control system is used to demonstrate the effectiveness of the proposed algorithm.