A time-varying control law via nominal trajectory linearization for an air-breathing hypersonic vehicle (ABHV) model is applied.Feasible guidance command signal serials are generated by nonlinear dynamic inverse (NDI) method considering interactions between aerodynamic effects and propulsion systems.Multiple-time-scale continuous time-varying control,which meets the requirement with accurate,robust,and decoupled tracking of both the commanded trajectory and angular rate profiles in the presence of modeling uncertainties and external disturbances are applied.The simulations for an ABHV model with modeling uncertainties,wind gust,and measuring noises are presented to demonstrate the capacity and reliability of this proposed method.