多弹分布式协同末制导时间一致性研究

Consensus problems in distributed cooperative terminal guidance time of multi-missiles

针对多弹同时击中目标的任务,利用图论与一致性理论分析研究了网络拓扑跳变时的分布式协同制导问题.建立了节点状态连续而拓扑状态离散的混杂系统模型,以描述期望导引时间的动态特性;进而指出,当跳变网络结构满足一定条件时,加权平均一致算法能使导弹群期望导引时间全局渐近收敛于各弹期望导引时间的加权平均,并得到收敛速度下限.针对具有3种跳变通信结构的三弹协同攻击的仿真结果,显示了协同末制导时间一致性策略的有效性.

To automatically guide multi-missiles to hit the target simultaneously,the distributed cooperative guidance is studied in the network with switching topology based on the consensus theory.Firstly,the hybrid system with continuous nodes state and discrete topology state is modeled to describe the dynamics of the desired impact time.Secondly,the weighted average-consensus algorithm is proved to be an efficient method to obtain the desired impact time of the multi-missiles group when the switching communication topologies are strongly connected and balanced.In this case,the desired impact time of the multi-missiles group globally asymptotically converges to the weighted average of the impact time of each missile,and lower bound on the rate of convergence is obtained.Finally,the consensus strategy on the time of cooperative terminal guidance is applied to three missiles in the network with three different switching topologies,and the simulation results show the effectiveness of the proposed results.