Differential game guidance law design for integration of penetration and strike of multiple flight vehicles

To solve the problem of dodging the defense missile group and hitting the target, a differential game guidance law which can be applied under the condition of incomplete enemy information is proposed. The linearized model of multi-vehicle engagement was established and the order of the model was reduced according to different combat teams. A time operator is introduced to unify the terminal time of all teams, and thus the guidance law was deducted based on two-person zero-sum differential game theory. The state estimation of interceptors and target was applied to the proposed guidance law by employing the extended Kalman filter (EKF). The penetration miss distance is greater than 5 m assuming complete hostile state information, and the interception miss distance is less than 0.1 m. Given only the rough and noisy observations, to be a contrast, the state estimation error of interceptors and target is well acceptable, and similar miss distance accuracy can be achieved. The simulation results demonstrate that the proposed guidance law can effectively guide attacking missiles to evade interception and hit the target accurately. © 2022, Editorial Board of JBUAA. All right reserved.