Adaptive Fixed-Time Cooperative Guidance Law Based on Integral Sliding Mode

For the problem of air-to-air missile cooperative attack on high-speed maneuvering target, a multi-missile cooperative guidance law with consistent attack time is proposed. Firstly, the geometric model of engagement between each missile and target is established in the longitudinal plane, and the relationship between the radial and normal guidance laws of line of sight and the normal acceleration of velocity is analyzed. Then, the fixed time cooperative control law is designed, and based on the line of sight dynamic equation, the robust cooperative guidance law with attack-time constraint is established by using adaptive law and integral sliding mode algorithm to ensure that multiple missiles hit the maneuvering target at the same time. Through numerical simulation, the difference of cooperative time and miss distances are 0.001 s and 0.01 m respectively. The final results verify the effectiveness and rationality of the fixed-time cooperative guidance law.