关键词: 协同作战, 终端滑模, 自适应律, 三维制导, 数学仿真

Abstract: Aiming at the problem of multi-missile cooperative operation and the directed topological communication between multi-missiles, a dual-layer cooperative guidance law based on the terminal sliding mode method is designed. The guidance command of line-of-sight direction can guarantee multiple-missile attacking the target at the same time. The three-dimensional guidance law normal to line-of-sight can ensure that each missile attacks the target at the desired line-of-sight angles, so as to exert the maximum lethality of each missile. Moreover, the constraint of line-of-sight angles is equivalent to the trajectory planning for the ballistic problem of the missile, which can avoid the collision between the missiles before attacking the target to some extent. At the same time, new adaptive laws are designed for the designed sliding mode guidance laws, accelerating the convergence speed of the sliding mode surface and attenuating the chattering phenomenon caused by the symbolic function. Based on the Lyapunov stability theory, the correctness of the guidance law is proved. Finally, a mathematical simulation experiment is conducted to verify the effectiveness and the superiority of the proposed guidance law.

Key words: cooperative operation, terminal sliding mode, adaptive law, three-dimensional guidance, mathematical simulation