Prescribed-time cooperative guidance law with seeker-less followers against multiple targets

In this paper, a grouped prescribed-time cooperative guidance law (GPCGL) is proposed for multiple vehicles to attack multiple targets without collision, where one leader and seeker-less followers are involved in each subgroup. A distributed guidance law is presented for leaders to achieve separated time attack on their respective targets, while the guidance law for followers consists of two parts: tangential direction and normal direction in the follower-to-leader line-of-sight (LOS) frame. For the former, a proportional consensus guidance law is proposed based on an auxiliary control term to guarantee both the intra-subgroup cooperation and distance-based collision avoidance simultaneously; for the latter, a dynamic LOS angle constrained guidance law is applied to achieve direction-based collision avoidance. The proposed GPCGL is proved to be prescribed-time convergent, where the states can converge within the prescribed time. Simulations are carried out to verify the effectiveness.