Rapid trajectory optimization for air guided bomb

According to the ballistic characteristics of the vertical attack by an aerial guided bomb, we optimize its trajectory and design the iterative variable-order solution strategy based on the hp-adaptive Radau pseudospectral method (hp-RPM) to rapidly optimize the glide trajectory under multiple constraints. The strategy allows for different orders of polynomial approximation in different intervals. We enhance the accuracy of the intervals by redistributing allocation points with the trajectory curvature. We iterate the redistribution of allocation points until their computational accuracy is acceptable to an error-tolerant degree. Then we simulate the rapid optimization of the trajectory of a certain aerial guided bomb. The simulation results show that the strategy can rapidly generate satisfactory trajectories under multiple constraints and that the Hamilton function of the solution satisfies optimal performance conditions. Compared with the conventional strategies, the trajectory optimized with our strategy is improved by an average of 11.46%.