An open loop Stackelberg solution to optimal strategy for UAV pursuit-evasion game

The optimal strategy structure for two-on-one open loop Stackelberg pursuit evasion game is studied, with the evader is chosen as the leader. The major idea is obtaining the strategy structure of the optimal solutions, which serves as a knowledge for the numerical approach. Two major ingredients are presented. Firstly, it is proved that all players should adopt constrained time-optimal strategy over their trajectories. Secondly, the optimal strategy structures are rigorously developed for all participants, relying upon the fact that all players aim to achieve a constrained time-optimal trajectory. Accordingly, a strategy set-based numerical scheme is constructed. Simulation results agree with the theoretical analysis. (c) 2022 Elsevier Masson SAS. All rights reserved.