This paper addresses the optimal decentralized three-dimensional cooperative guidance problem for multiple interceptors against a stationary target considering dynamically changing and directed communication topologies. A two-stage cooperative strategy is proposed to achieve simultaneous attack regardless of the information on time-to-go. More specifically, a prescribed-time optimal consensus method is applied in the process of the first-stage distributed cooperative guidance law design to generate desired initial conditions for the latter guidance phase, where the consensus arriving time can be off-line pre-appointed according to interception mission requirements without conservative estimation and is independent of the initial conditions of interceptor's states. Furthermore, the optimal consensus control under directed and periodical switching topologies is also considered in the first guidance phase, and the analytically optimal cooperative guidance law is formulated based on Pontryagin's principle. As for the second guidance phase, all interceptors are switched to typical pure proportional navigation guidance law, and the salvo attack can be achieved eventually. Extensive numerical simulations are performed to validate the effectiveness and superiority of the proposed cooperative guidance scheme.

本文针对考虑动态变化和有向通信拓扑的固定目标，针对多个拦截器解决了最优分散式三维协同制导问题。提出了一种两阶段合作策略来实现同时攻击，而不管时间信息如何。更具体地，在第一阶段的分布式合作制导律设计过程中采用了规定时间的最优共识方法，以为后一指导阶段生成期望的初始条件，其中共识到达时间可以根据无需保守估计即可满足拦截任务的要求，并且与拦截机状态的初始条件无关。此外，在第一制导阶段还考虑了有向和周期性切换拓扑下的最优共识控制，并基于庞特里亚金原理制定了解析最优合作制导律。至于第二制导阶段，所有拦截器都转换为典型的纯比例导航制导律，最终可以实现齐射攻击。进行了广泛的数值模拟，以验证所提出的合作指导方案的有效性和优越性。并且齐射攻击最终可以实现。进行了广泛的数值模拟，以验证所提出的合作指导方案的有效性和优越性。而齐射攻击最终可以实现。进行了广泛的数值模拟，以验证所提出的合作指导方案的有效性和优越性。