Fixed-time Cooperative Guidance Law Design with Impact Time and Angle Constrains

Aiming at the problem of three-dimensional (3D) multiple missiles intercepting a maneuvering target simultaneously, a 3D distributed cooperative guidance law considering time and space constraints. The proposed guidance law is based on fixed-time stable theory and adaptive sliding mode theory. Along light-of-sight (LOS) direction, an improved robust adaptive cooperative guidance law is presented based on fixed-time consensus which can drive a group of missiles attack maneuvering target at desired impact time without inherent chattering of sliding mode control. Along the direction vertical to the line-of-sight (LOS), a robust adaptive guidance law is proposed based on nonsingular fixed-time terminal sliding mode technique, which can drive missiles attack target with desired impact angle and avoid collision between missiles. Finally, the simulation results show that the proposed approach can be implemented to intercept maneuvering target with desired impact time and impact angle.