Considering the nonlinear and fast time-varying characteristics of hypersonic vehicle,the wavelet-based predictive function control method is studied,aiming at improving the control performance of traditional step-signal-based predictive function control and realizing real-time control of hypersonic vehicle.Firstly,the nonlinear model of the hypersonic vehicle is converted into a state-dependent linear model,and then the control law is represented as a linear combination of wavelet functions,and the calculation of the control law is converted into the calculation of the basis function coefficients,which greatly reduces the dimensionality of the optimization calculation,so that the real-time control of hypersonic vehicle can be realized.In addition,different from the traditional predictive function control method,this paper uses the wavelet function as the basis function,which can make full use of the multi-scale analysis and compact local characteristics of the wavelet.By flexibly setting the number and position distribution of wavelet basis functions,the approximation requirements of the fitting points and the overall control performance are ensured.The simulation results show that the wavelet based predictive function control has better tracking performance than the traditional step-signal-based predictive function control does.