Nash equilibrium solution method of spacecraft game based on the relative motion reachable set
A method for solving the Nash equilibrium in a pursuit-evasion game with impulse maneu-vering for spacecraft is proposed based on differential games and relative reachable domains.Firstly,a scenario of a single-impulse pursuit-evasion game was constructed.And the necessary conditions of Nash equilibrium were derived using differential game theory.Secondly,the expression of the rela-tive reachable domain for spacecraft was analytically derived using the CW equation,and its proper-ties were analyzed.Then,the existence of Nash equilibrium in the game was determined by exami-ning relationships of the relative reachable domains for both pursuer and evader.Finally,the guess-ing terminal states under the Nash equilibrium were determined by using the relative reachable do-main,and the Nash equilibrium strategies were solved by shooting method.The simulation results validate the Nash equilibrium properties of the obtained strategies,and indicate that both sides will use the maximum impulse amplitude at Nash equilibrium and maneuver in the same direction.
space adversarypursuit-evasion gamedifferential gamesNash equilibriumreach-able domain
NETL
NSTL
万方数据
