Abstract:
An interception scenario of a highly maneuvering target is formulated as a stochastic pursuit-evasion differential game, the information pattern of which has some essential effects on the solution structure of problems. Through analyzing the information pattern of a highly maneuvering target interceptor, the solution structure of the differential games and its relationship with the information pattern are studied and revealed in this paper. Firstly, the definition of information pattern and its related concepts are regularized, and the information pattern of the interceptor is analyzed, too. The conclusion shows that the interceptor has a no sharing pattern under the typical scenario of highly maneuvering target interception. Therefore, the estimation problem of the interception is a hybrid estimation. Then the equivalence between no sharing pattern and control-delayed sharing pattern is proved when the maneuver of evader is satisfied with the observability condition. Finally, the theorems about the information pattern and the solution of the differential games under control-delayed sharing pattern are also proved. Especially, the theorem, which shows the value of differential games has the monotonic increasing relationship with the delay of the control-delayed sharing pattern and called monotonic theorem in the paper, is proved, too. This work reveals the direction for improving the homing accuracy.