An impact time and angle control guidance law under variable speed condition
Impact-time-and-angle-control guidance(ITACG)law can realize that multiple missiles strike from different impact angles at the same time,which has a wide range of military applications.However,the current methods to solve the ITACG problem rarely consider the variable speed which will cause great limitations in practical application.Based on the two-segment trajectory of Bezier curve and straight line,we analyze the pattern of maximum curvature of the trajectory,and prove that the trajectory length is monotonic with straight-line length.Second,this paper uses binary search to determine the whole trajectory.Third,to control the impact time,we design a Bezier-PI controller that dynamically adjusts the straight-line length.The guidance algorithm has small calculation and strong robustness,which is suitable for real-time calculation by missile-borne computers.The simulation results verified that the algorithm has strong robustness to the induced drag and parasite drag disturbance and can reach a high precision impact time and impact angle.