SDRE-based cooperative target tracking problem

In the terminal guidance phase, the implementation of advanced guidance law is required of the relative motion information. In this paper, the estimation problem of relative motion information between an interceptor and a target is considered separately based on the classical extended Kalman filtering (EKF) and state-dependent Riccati equation (SDRE) filtering approach. First, the relevant mathematical description is established. Secondly, the relative motion information is estimated based on different methods. Then, the two methods are compared to show the effectiveness and faster convergence rate of the using of SDRE method. Finally, the scenario in which two interceptors cooperate to intercept one target is considered. The information sharing strategy between the two interceptors is proposed, and also the mathematic transportation problem is settled. Then the simulation based on the SDRE designing and the comparison between the single estimation and collaborative estimation are carried out, in which better unbiasedness of the strategy is confirmed.