研究了导弹编队的队形重构最优控制问题。首先建立了导弹编队的运动学模型,然后对导弹编队的队形重构问题以及hp-自适应伪谱法求解最优控制问题的基本原理进行了描述,设计了一种基于伪谱法的导弹编队队形重构最优控制方法;最后通过仿真算例进行了验证和分析。仿真结果表明:hp-自适应伪谱法能够有效地求解导弹编队的队形重构最优控制问题,具有一定的应用价值。

The reconstruction control problem of the missile formation system is proposed and studied in this paper. Firstly a reasonable motion model is used to describe the missile formation system. Secondly the optimal reconstruction control problem of the missile formation system and the hp-adaptive pseudo-spectral method are described. Thirdly, the hp-adaptive pseudo-spectral method is used to solve the proposed optimal control problem. Finally some digital simulations are implemented. The simulation results indicate that the optimal reconstruction control of the missile formation problem can be obtained by the hp-adaptive pseudo spectral method.