不完全信息 Epsilon 纳什均衡的航天器末端追逃博弈策略

A differential game control strategy with Epsilon Nash equilibrium is proposed for spacecraft terminal pursuit-evasion problems under incomplete information. Firstly，finite time pursuit-evasion Nash equilibrium strategy pairs under complete information are established. This strategy is taken as the maneuver strategy of the target spacecraft，it means that the target spacecraft can obtain complete information of the whole game process，and then will have better evasion performance. On this basis，considering the situation that the interceptor cannot get the information of the target control matrix. A behavior learning information estimation algorithm is designed based on the generalized Kalman filter to make the interceptor estimate the incomplete information of the target. Furthermore，the game control strategy under incomplete information is designed. Through theoretical analysis，it is proved that the designed differential game strategy pairs under incomplete information satisfy Epsilon Nash equilibrium. Finally，the simulation results show that the algorithm can estimate the target information effectively，and the interceptor can pursue the target rapidly in a limited time.