Trajectory Optimization with Polygonal No-Fly Zone Constraints for Hypersonic Glide Vehicle

This article proposes an enlarged polygon (ELP) method to equivalently describe the polygonal no-fly zone (PNFZ) constraints for entry trajectory optimization problem. The ELP method starts from the geometric relationship between the aircraft's position and a convex polygon. Then, the equivalent geometric condition describing PNFZ constraints is found. Finally, we give an ELP condition to describe PNFZ constraints. By using ELP method, there is no need for integer variables. Simulations in different scenarios show the feasibility and validity of ELP method.