Design of Multi-missile Space-Time Cooperative Guidance Law Based on Improved SSA and Optimal Control

Aiming at the consistency of attack time and attack angle of multi-missile coordinated attack, this paper designs a multi-missile cooperative guidance law based on improved sparrow optimization algorithm and optimal control theory. Firstly, the relative motion model of the projectile in the longitudinal plane is established, and the guidance law with terminal angle constraint is derived based on the optimal control theory. In order to ensure time coordination, the biased optimal guidance law is designed based on taylor expansion. Finally, to improve the design efficiency and avoid repeated design, a parameter self-tuning strategy based on the improved sparrow optimization algorithm is proposed. To improve sparrow algorithm, Sobol sequence is introduced to initialize the population to accelerate the convergence speed, and a crisscrossing strategy is introduced to prevent falling into local optimal. The effectiveness of the proposed algorithm is verified by simulation.