A maneuvering strategy based on motion camouflage in three-player differential game

Abstract

In this paper, we consider a three-player differential game in which the defender provides coverage for the evader by maneuvering toward the line of sight between the pursuer and the evader. The TAD game is divided into two pursuit-evasion games to obtain the saddle point strategy for each player. Different from the general solution, the defender uses motion camouflage conditions as its payoff function and gives the real-time maneuvering strategy. This approach ensures that the constraint in the gaming process is met by providing the saddle point solution for each time interval. Additionally, interception strategies are created for each player to get the required heading angle. These strategies and game dynamics can be predicted by examining the current state of the game. Consequently, we establish the advantage region for the pursuer and the defender based on these predictions. Based on the given initial conditions, the advantage region for the defender is presented in its initial velocity vector. Finally, the simulations validate the effectiveness of the proposed strategy and the capture region analysis.