Abstract:

 To solve the problem of the multiple missiles attacking a moving target simultaneously from the desired directions in plane, a novel distributed finite time cooperative guidance law with line-of-sight (LOS) angle constraint for multiple missiles without missile-target’s radial velocity messurement under directed topologies is proposed. Firstly, based on missiles-target relative motion equations in plane, the multi-missile cooperative guidance model with the LOS angle constraint is constructed. Then, based on the second-order multi-agent system cooperative control theory, a guidance law in LOS direction is designed which can guarantee the finite time consensus of the impact times of the multiple missiles with directed topologies. Next, based on the homogeneous system stability theory and integral sliding mode control theory, a guidance law in the vertical direction of the LOS is designed, which can guarantee the missiles to impact the moving target and their LOS angles converge to the desired values in finite time. Finally, the designed cooperative guidance law is demonstrated through the simulation results under the ideal conditions to make the multiple missiles with directed topologies impact the moving target simultaneously from the desired directions.

Key words:  Multi missile cooperative guidance, Directed communication topology, Without radial velocity measurement, LOS angle constraint, Moving target, Finite time