Trajectory Optimization of Solid Launch Vehicle Based on Hp-Adaptive Pseudospectral Method

The active phase trajectory optimization of multistage solid launch vehicle is the problem of multi-phases and multi-constraints optimal control.The global pseudospectral method is combined with the finite element method in the hp-adaptive pseudospectral method which adopts double layer optimization strategy to adjust adaptively the segment breaks and the polynomial degree in each segment to meet the precision and speed requirements.The simulation based on hp-adaptive pseudospectral method is implemented,and the results show that the process constraints and terminal conditions are fulfilled and the algorithm has fast convergence and is not sensitive to the initial values.Thus,this optimization method has a great value in the practical applications.