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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.
Aiming at the task that multiple missiles hit the target at the same time, this paper studies the problem of distributed cooperative guidance in the case of network topology hopping by using the theory of graph theory and consistency, and establishes a hybrid system model with continuous node states and discrete topological states to describe the expected guidance Furthermore, we point out that when the hopping network structure satisfies certain conditions, the weighted average consensus algorithm can make the expected guidance time of the missile group converge to the weighted average of the expected guidance time of each missile globally, and obtain the convergence rate The simulation results of the three-bomb cooperative attack with three kinds of hopping communication structures show the effectiveness of the coordinated tactical guidance time consistency strategy.