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In this paper, a new approach is proposed for the transient stability control of a single-machine infinite-bus power system. The proposed method is based on the concept of linear parameter varying (LPV) model and linear matrix inequality (LMI) based gain-scheduling control. It is well-known that when the disturbances are large, the nonlinearity inherent in the power system can no longer be ignored and the performance of closed-loop system designed based on linear approximation degrades severely in such case. Here, we propose a control method which handles the nonlinear model directly and is able to assign the convergence rate. First, we show that the nonlinear model can be transformed into an LPV system with the rotor angle as the time-varying parameter. Then, a gain-scheduled controller is designed by using the gain-scheduling control method. In particular, the input saturation is taken into consideration in the design. Simulation results verify that the proposed method is effective.