Trajectory Optimization of Hypersonic Glider Based on Attack Angle-Velocity Profile Using Gauss Pseudo-Spectral Method

The problem of trajectory optimization of hypersonic glider under multiple constraints is studied herein when the attack angle-velocity profile is designated. First, the motion model of hypersonic glider during reentry phase is established and the related constraints are constructed. Then, the attack angle-velocity profile is designated before trajectory optimization which is different from most existing studies. This measure is to make it easier to deal with the constraints of heat flow and aerodynamic load, and reduce the requirements of guidance on attitude control system. Subsequently, a modified piecewise Gauss Pseudo-Spectral method is introduced to optimize the trajectory with constraints of waypoints and no-fly zones. Finally, numerical simulations is conducted and the results demonstrate the validation of proposed methods and the superiority of using attack angle-velocity profile.