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In order to solve the mismatched uncertainties of a class of nonlinear systems,a control method of sliding mode control (SMC) based on the backstepping design is proposed.It introduces SMC in to the last step of backstepping design to modify the backstepping algorithm.This combination not only enables the generalization of the backstepping design to be applied to more general nonlinear systems,but also makes the SMC method become effective in solving the mismatched uncertainties.The SMC based on the backstepping design is applied to the flight control system design of an aerodynamic missile.The control system is researched through simulation.The simulation results show the effectiveness of the proposed control method.