Trajectory optimization for a hypersonic waverider missile in extended range period by means of optimal control

The goal of trajectory optimization for a hypersonic missile is to find an optimal law of attack angle so as to make trajectory scheme designed optimal. According to the trajectory math model, the fit trajectory law was considered as an optimal control problem. Pontryaghin maximum principle was used to obtain first-order necessary condition. By means of the genetic algorithms, a two-point-boundary-value problem was resolved. Numerical simulation example shows that, under satisfying constraint conditions of equation of state, it is feasible to obtain the optimal trajectory by optimal control and genetic algorithm.