Terminal sliding mode guidance design under impact angle and time constraints in three-dimensional space

Abstract

Aiming at the problem of interceptor intercepting target under impact angle and time constraints, the nonsingular terminal sliding mode method is used to design the guidance law. This paper considers the moving target with constant acceleration in 3-D space. The design of guidance law is mainly divided into two parts. Firstly, the sliding mode guidance law satisfying the impact angle constraint is designed, and then the sliding mode guidance law satisfying the impact time constraint is designed. For the designed sliding surface, two Lyapunov functions are analyzed and the stability conditions are obtained. Different from the previous guidance laws, the guidance law designed in this paper does not need to switch under the constraints of impact angle and impact time. Finally, the simulation results show that the guidance law proposed in this paper has good performance under the conditions of impact angle and time constraints.