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.