Abstract: A hybrid optimization method based on differential evolution algorithm and bank angle interpolation was proposed for the reentry landing footprint calculation of high lift-drag ratio hypersonic vehicle. The reentry process equality constraints and inequality constraints were added to the optimization index by designing the penalty function and the fitness function maximization. In order to reduce the search space of the parametric bank angle profile, a constrained differential evolution algorithm was used to solve the reentry trajectory that satisfies the process constraints and terminal constraints. After obtaining bank angle profiles with the maximum cross-range and down-range voyages respectively, the interpolation bank angle method was used to quickly produce the bank angle command set, and then the fast calculation of the reentry landing footprint was realized. The simulation is designed with the high lift-to-drag ratio vehicle CAV-H. The results show that the hybrid optimization solution is easy to implement and has good maneuverability.

Key words: reentry landing footprint, differential evolution algorithm, bank angle interpolation, hypersonic vehicle, penalty function