The target-encirclement guidance problem for many-to-one missile-target engagement scenario is studied, where the missiles evenly distribute on a target-centered circle during the homing guidance. The proposed distributed target-encirclement guidance law can achieve simultaneous attack of multiple missiles in different line-of-sight directions. Firstly, the decentralization protocols of desired line-of-sight angles are constructed based on the information of neighboring missiles. Secondly, a biased proportional navigation guidance law that can arbitrarily designate the impact angle is cited. The missiles can achieve all-aspect attack on the target in an encirclement manner by combining the biased proportional navigation guidance law and dynamic virtual targets strategy. Thirdly, the consensus protocol of simultaneous attack is designed, which can guarantee that all missiles’ time-to-go estimates achieve consensus asymptotically, and the convergence of the closed-loop system is proved strictly via the Lyapunov stability theory. Finally, numerical simulation results demonstrate the performance and feasibility of the proposed distributed target-encirclement guidance law in different engagement situations.

中文翻译：

---

多导弹协同攻击的分布式目标-包围制导律

研究了多对一导弹目标交战场景的目标包围制导问题，其中导弹在导引过程中均匀分布在以目标为中心的圆上。提出的分布式目标包围制导律可以实现不同视距方向的多枚导弹同时攻击。首先，根据相邻导弹的信息构建所需视线角的分散协议。其次，引用了一种可以任意指定撞击角度的偏向比例导航制导律。该导弹通过将偏向比例导航制导律与动态虚拟目标策略相结合，实现对目标的全方位包围攻击。第三，设计了同时攻击的共识协议，可以保证所有导弹的飞行时间估计渐近一致，闭环系统的收敛性通过李雅普诺夫稳定性理论得到严格证明。最后，数值模拟结果证明了所提出的分布式目标包围制导律在不同交战情况下的性能和可行性。