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In practical power system, the existence of the valve limit on the governor and the generation rate constraints (GRC) present great challenge to the automatic generation control (AGC). In this paper, the valve limit on the governor is modeled by a T-S model, and a distributed model predictive control (MPC) method is employed to AGC to cope with the generation rate constraints (GRC). Model predictive control is a popular control strategy which takes systematic account of process input, state and output constraints, and distributed MPC is suitable for controlling large-scale networked systems such as power system. This method decomposes the overall system into subsystems, each with its own MPC controller. The proposed methodology is tested with a four-area interconnected power system. Simulation results demonstrate the proposed distributed MPC achieves performance equivalent to centralized MPC.