导弹集群切换拓扑去中心化微分博弈协同制导

doi:10.12305/j.issn.1001-506X.2026.03.29

摘要/Abstract

摘要：

考虑作战过程中导弹集群通信拓扑结构变化问题，开展导弹集群切换拓扑下去中心化协同制导律研究。结合虚拟领弹-从弹架构，构建虚拟领弹群产生虚拟共识状态轨迹，实现去中心化；基于虚拟共识状态轨迹误差跟踪系统，采用微分博弈理论，结合自适应动态规划技术在线求解最优制导策略，并提出基于求解线性矩阵不等式（linear matrix inequality，LMI）的评价网络权值更新律参数动态更新方法以适应拓扑结构切换，并放宽切换信号平均驻留时间限制；使用多Lyapunov函数，证明了系统的稳定性。最后，通过仿真验证了所提方法的有效性。

关键词: 导弹集群, 分布式协同, 微分博弈, 去中心化, 切换拓扑

Abstract:

In view of the communication topology switch problem in missile clusters during combats, a decentralized cooperative guidance law for missile cluster under switching topologies is developed. A virtual leader group is designed based on virtual leader-follower framework, and decentralization is achieved by the virtual leader cluster generating a virtual consensus state trajectory. Based on the error tracking system of virtual consensus state trajectory, differential game theory is applied. And the critic network is utilized to derive the optimal guidance strategy online by using adaptive dynamic programming technique. Then, a method for dynamically updating the parameters of the critic network’s weight update law based on solving linear matrix inequality （LMI） is proposed, which is designed to accommodate topology switching and relax the average dwell time constraints on switching signals. System stability is proven by using multiple Lyapunov functions. Finally, simulations are conducted to substantiate the validity of the proposed scheme.

Key words: missile cluster, distributed cooperation, differential game, decentralized, switching topologies

中图分类号:

TP 273

王浩宇, 姜斌, 张绍杰, 杨知沐, 李莹雪. 导弹集群切换拓扑去中心化微分博弈协同制导[J]. 系统工程与电子技术, 2026, 48(3): 1050-1060.

Haoyu WANG, Bin JIANG, Shaojie ZHANG, Zhimu YANG, Yingxue LI. Differential game-based decentralized cooperative guidance for missile cluster under switching topologies[J]. Systems Engineering and Electronics, 2026, 48(3): 1050-1060.

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方法	导弹	拦截时间/s	脱靶量/m
本文方法	导弹${M_1}$	18.06	0.15
	导弹${M_2}$	18.30	0.49
	导弹${M_3}$	18.05	0.19
对比方法	导弹${M_1}$	未命中	9.76
	导弹${M_2}$	未命中	27.67
	导弹${M_3}$	未命中	162.65

框架	导弹	拦截时间/s	脱靶量/m
虚拟领-从去中心化框架	导弹${M_1}$	18.06	0.09
	导弹${M_2}$	损毁	损毁
	导弹${M_3}$	18.05	1.64
领弹-从弹框架	导弹${M_1}$	失效	失效
	导弹${M_2}$	损毁	损毁
	导弹${M_3}$	失效	失效

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