Research on space pursuit and escape strategy of spacecraft based on the artificial immune algorithm

Abstract

This paper attempts to solve the space pursuit and escape problems of a spacecraft with a fixed stay period. The artificial immune algorithm is used to solve the Nash equilibrium solution in the process of both parties’ pursuit and escape, which reduces the complexity of the bilateral optimal planning problem. According to the game process of the pursuit-and-escape, a mathematical model is established. Under the condition that both spacecraft are subjected to continuous thrust, the relative distance relationship between the two ends is defined as the objective function. To shorten the algorithm optimization time to ensure the calculation accuracy, the thrust pointing angle of the spacecraft is designed by integer coding, and the antigen-antibody affinity function is established accordingly. In this paper, the immune operator is designed and defined, which improves the searchability and convergence speed of the algorithm in three-dimensional space. The simulation example gives the optimal control strategy and the corresponding chasing trajectories of both parties, which effectively solves the problem of spacecraft chasing and escaping under a fixed time.