Abstract: For a complex nonlinear mass dynamic model in the ascent stage for a hypersonic vehicle with multiple constrains including state constrains, control constrains, boundary constrains and path constrains, a trajectory optimization methodology based on Gauss Pseudo Spectral was proposed for the hypersonic vehicle. The optimal controller of the trajectory optimization results was chosen as the reference command. For the rigid body dynamics of the hypersonic vehicle, a nonlinear dynamic inverse control combined with PD control methodology was proposed to track the reference command. The simulation results demonstrate that, for the minimum fuel consuming trajectory optimization of the ascent stage, the nonlinear dynamic inverse control combined with PD control methodology can track the reference command precisely. At the same time, the optimal control surface deflection is obtained.

Key words: gauss pseudo spectral, hypersonic vehicle, trajectory optimization and tracking, nonlinear dynamic inverse