Guidance law design for intercepting a target with multiple decoys

In this paper, we investigate the interception problem of a target with multiple decoys. These decoys appear as apparent points and only can be distinguished with the approaching of the flight vehicle and the real target. Due to the limitation of the flight vehicle maneuverability, these apparent points should be considered as the real ones otherwise a large miss distance might be caused between the flight vehicle and the real target even the interception task might be failed. We first establish the mathematical description of the one-to-many guidance engagement problem, and formulate it into a hybrid switched system by introducing a multiple-valued logic variable. The Fliess functional expansion is adopted to express the input and output relationship of the switched hybrid system. Then, the optimal switching control command is determined for a multiple-step output tracking performance index and a simple brutal method is used to calculate the optimal switching control command. The target orientation at each time interval is determined. Simulation results show the effectiveness of the proposed method.