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

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.