An impact time and angle control guidance law under variable speed condition
CHENG Zhi-qiang
YAN Xing-hui
ZHANG Fan
ZHU Ji-hong
Abstract：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.
Keywords：impact angleimpact timevariable speedtrajectory designbezier curve
Publication Date：2024-02-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 364-372 )