Multi-stage Trajectory Optimization for Time-on-Target of Tactical Rockets Using Gauss Pseudospectral Method

The application of Gauss pseudospectral method to the multi-stage trajectory optimization of two-stage boosting tactical rocket is studied. First of all, atmospheric environment characteristics and the aerodynamic characteristics of the two-stage boosting tactical rockets are fitted with high precision. Secondly, according to the characteristics of the intermittent working of the two-stage boosting tactical rockets, the ballistic trajectory of each rocket is divided into four phases and the connection points are used to ensure the smooth connection between adjacent phases. Then, the Gauss pseudospectral method is used to convert the trajectory optimization problem into a nonlinear programming problem. In order to further improve the computational efficiency and reduce the difficulty of setting the initial value, an iterative strategy based on the initial value generator is designed to achieve the rapid optimization. Finally, full consideration is given to the various flight performance constraints of the rockets, and the model of multiple tactical rockets which are launched successively attacking on the ground target simultaneously is established. The simulation results show that the proposed algorithm has high precision and effectiveness.