Study on Trajectory Optimization of Dual-Pulse Guided Rockets Based on Pseudospectral Method

In order to improve the ballistic performance of dual-pulse guided rockets, the medium-range guided rocket and long-range rocket are taken as the research objects, A multi-stage and multi-constraint optimization model of pulse energy allocation-external ballistic trajectory is established, and the optimization procedure is programmed based on hp-adaptive pseudospectral method to solve the problem. The impacts of pulse energy allocation, the angle-of-attack control and the endpoint constraints on the ballistic performance are analyzed in detail. The results show that the pseudospectral method can solve the ballistic optimization problem of the dual-pulse guided rockets. Besides, the optimization results of the angle of attack control combined with pulse energy distribution are not much different from those of the separate optimization results. Under the zero-angle-of-attack case, the dual-pulse motor can effectively increase the range of long-range rockets, but has less effect on the range of medium-range rockets. Under the angle-of-attack control case, the ranges of both types of rockets can be greatly increased, and are less affected by the energy distribution.