导弹集群切换拓扑去中心化微分博弈协同制导

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中图分类号：TP273 文献标志码：A DOI：10.12305/j.issn.1001-506X.2026.03.29

Abstract： In view thecommunication topology switch problem in misile clusters during combats，a decentralized cooperative guidance lawfor missile cluster under switching topologies is developed.A virtual leader group is designed based on virtual leader-folower framework， decentralization isachieved bythe virtual leaderclustergeneratinga virtual consensus state trajectory.Based on the errortrackingsystem virtual consensus state trajectory，diferential gametheoryis applied.And thecritic network is utilized to derive the optimal guidance strategy online by usingadaptive dynamic programming technique.Then，a method for dynamicall updating the parameters the critic network's weight update law based on solving linear matrix inequality（LMI） is proposed，which is designed to acommodate topology switching relax the average dwell time constraints on switching signals.System stability is proven byusing multiple Lyapunov functions.Finally，simulations are conducted to substantiate the validity the proposed scheme.

Keywords： missile cluster; distributed cooperation； differential game； decentralized; switching topologies

0 引言

近年来，随着导弹-目标攻防的复杂化，单导弹作战在现代战争中的局限性日益凸显[1]。（剩余17187字）