Design of Three Dimensional Sliding Mode Terminal Guidance Law Based on Finite-Time and Small-Overshoot Prescribed Performance Control

Abstract

In order to intercept a high-speed maneuvering target at a specific attack angle, a three dimensional sliding mode terminal guidance law is designed based on finite-time and small-overshoot prescribed performance control, which is a new method in control field. The linear sliding surface is designed based on the angle of sight deviation and angle of sight rate deviation to ensure that the angle of sight and angle of sight rate converge to the expected value in finite time. On reaching law design, guidance instructions for the yaw plane and pitch plane are designed respectively based on the finite-time and small-overshoot prescribed performance control, ensuring that the tracking error can converge at a preset convergence time and the overshoot is constrained to a small range. At the same time, the nonlinear finite-time observer is introduced to estimate the target acceleration term in the guidance instruction to further improve the guidance accuracy. The simulation results show that the proposed guidance law can intercept targets at specific attack angle under different interception conditions. Compared with the existing fast terminal sliding mode guidance law, the proposed guidance law can guarantee the small-overshoot convergence of sliding mode variables in finite time, and can strike the target form the specific angle. When intercepting maneuvering targets, the miss distance can be controlled below 1 m, improving the steady-state performance and transient performance of the system.

Keywords

• |prescribed performance control(ppc)|finite-time and small-overshoot|sliding mode control|three dimensional terminal guidance law|angle of attack constrain|maneuvering target|interceptor