基于伪谱法的多导弹协同攻击研究

Study on Guidance for Cooperative Engagement of Multi-missile Based on Pseudo-Spectral Method

多导弹协同攻击是未来导弹技术发展的重要方向之一;研究了多导弹协同攻击问题;首先建立了导弹与目标的相对运动方程,然后对多导弹协同攻击问题以及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;将hp-自适应伪谱法应用到多导弹协同攻击的研究中,设计了一种基于伪谱法的多导弹协同攻击制导策略,并通过仿真算例对其进行了验证和分析;仿真结果表明:设计的多导弹协同攻击制导策略能够同时兼顾时间约束和角度约束,实现对固定目标的多导弹协同饱和攻击,具有一定的应用价值。

The cooperative engagement of multi--missile is one of the significant trend of missile technology. The cooperative engage- ment of multi--missile is investigated in this paper. Firstly a reasonable model is used to describe the relative motion of the missile and the target. Secondly the hp--adaptive pseudo--spectral method is described. Thirdly, a guidance strategy for cooperative engagement of multi-- missile based on pseudo--spectral method is proposed. Finally some digital simulations are implemented. The simulation results indicate that the proposed guidance strategy is effective in the saturated attack mission of multi--missile, and the time restriction and angle restriction are considered.