Prescribed-time Group Consensus Cooperative Guidance

In this paper, a prescribed-time group consensus cooperative guidance law (PTGCCGL) is proposed based on the prescribed-time control method. Different from the tradition cooperation against single target, the group cooperative guidance shows its potential in intercepting multiple targets. In the group cooperative attack, the formation is classified into subgroups which attack their own targets respectively. Firstly, prescribed-time group consensus based on the time-scaling function is proved by Lyapunov stability theorem. Then, the PTGCCGL is proposed for cluster cooperation to achieve the simultaneous attack of same subgroup while keep the communication between groups. Finally, a numerical example is presented to show the effectiveness of the proposed cooperative guidance law.