Research of Multi-Slide-Mode Non-singular Terminal Sliding Mode Guidance Law Based on Super Twisting Algorithm

In this paper, Multi-Slide-Mode Non-singular Terminal Sliding Mode guidance law (MSMNTSMG) is designed based on the Super Twisting algorithm, and applied to intercept high-speed maneuvering targets in the near-space, which solves the singularity and chattering problems existing in traditional sliding mode interception guidance law. Firstly, the mathematical models and relative motion equations of missile and maneuvering target are established respectively. Based on the guidance equations, a new multi-slide-mode non-singular terminal sliding mode guidance law is designed, and the reaching law of Super Twisting algorithm is introduced. In the course of guidance law design, the acceleration of the maneuvering target is estimated adaptively and introduced into guidance instruction design to improve interception guidance effect. Finally, the simulation analysis proves that the multi-slide-mode non-singular terminal sliding mode guidance law based on super twisting algorithm can obviously improve the system singularity and chattering problems, and improve the convergence rate of the system compared with the traditional sliding mode guidance law.