不对称非零和条件下航天器追逃博弈策略

A spacecraft pursuit-evasion game strategy under asymmetric non-zero-sum conditions is proposed for the problem of asymmetric performance indexes between the two sides. First,an analysis of the fleeing spacecraft’s asymmetric performance indexes is conducted to create the on-orbit fleeing game model under non-zero-sum constraints. Second, based on the necessary conditions of the differential game problem,the asymmetric bilateral optimal control problem of the pursuit game is solved by using the minimum principle,and then the conditions for solving the Nash equilibrium strategy of the non-zero-sum pursuit-evasion game are given. Finally,the optimization algorithm framework of “double shooting method+particle swarm optimization” is proposed to effectively solve the high-dimensional nonlinear two-point boundary value problem of spacecraft non-zero-sum pursuit-evasion game,and the homotopic method is further used to effectively solve the fuel optimization problem of non-zero-sum pursuit-evasion game. Simulation results show that the proposed game strategy can effectively solve the spacecraft pursuit and escape game problem under asymmetric non-zero-sum conditions in fixed time and save fuel compared with the zero-sum game.