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A new state contractive constraint-based predictive control (SCC-MPC) scheme was proposed in this paper. This model predictive control algorithm consists of a basic finite horizon MPC technique and an additional state contractive constraint. The crucial function of the additional state contractive constraint in SCC-MPC is to guarantee the stability of the control scheme. The nominal stability and robust stability of SCC-MPC scheme were analyzed and proved respectively. In our research, the new model predictive control scheme was applied to multi-area load frequency control (LFC). Simulation results show the performance of the scheme. When the areas suffer from load disturbances, the frequency variations and the deviation of power flow between areas go to zero by using SCC-MPC scheme.