A novel hierarchical decomposition for multi-player pursuit evasion differential game with superior evaders

In this paper, we consider a novel Hierarchical decomposition approach for multi-player pursuit evasion game (MPPEG) where some evaders' capability are higher than those of all pursuers. Differently from standards MPPEGs where the environment and the location of evaders is unknown and a probabilistic map is built based on the pursuer onboard sensor. In this paper, we study the number of pursuers which necessitates for the capture condition and the time of all evaders have been captured. A novel Cooperative in the coalition formation is used for pursuer in their pursuit strategies deriving to 1) Avoid collision among objects, 2) Reduce the distance between each pursuer and the evader over the evolution of game; 3) Keep the pursuers' formation around the evader invariant during the pursuit process and enclose the superior evader. The validity of our method is illustrated by two simulation examples.