Research On Multi-satellites Pursuit Evasion Strategy Based On Game Theory

With the continuous development of space exploration,the space technology is changing with each passing day.Developing the satellite technology that making it widely used in many fields such as scientific experiments,and playing an important role in relevant technology innovation is an inevitable trend.When completing more complex space missions,it is more feasible,reliable,and flexible to use multi-satellites with simpler functions instead of a single satellite with complex functions.When coordinating multiple satellites to complete space missions,the lack of consideration of the relationship between the satellites will lead to the failure of missions and even threaten the satellites’safety.As typical multi-satellite cooperative missions,multi-satellites pursuit-evasion missions use multiple pursuing-satellites to surround the target satellite,not only the coordination of the pursuing-satellites needs to be considered,but also the research on the hunting strategy is necessary.The lack of research on the strategy will lead to lower efficiency or failure,even collision between satellites.For the missions,the pursuing team needs an efficient strategy,which is significant for promoting the application of satellite technology in China’s space exploration field.This paper takes multi-satellites as the research object,and researches the pursuit-evasion strategy based on the game theory method.Specifically,it includes research on formation and control of multi-satellites,pursuit-evasion strategy based on zero-sum game,design and optimization of strategy,and establishment of multi-satellite pursuit-evasion strategy simulation platform.The main research work is as follows:Firstly,the formation methods of multi-satellite systems are studied.The dynamic model of satellite relative motion is established by analyzing the satellite relative position.To adjust positions of satellites,a satellite formation controller using Eigenstructure Assignment is designed to from the formation and a PID controller is designed to follow the trajectory solved by Gauss pseudo spectral method.Secondly,in order to acquire the strategies of satellites during missions,research on modeling and solution of multi-satellite pursuit-evasion is carried out.Considering the game characteristics in the mission,the mathematical description is made and zero-sum game model of the mission is established,and the game is optimized by comprehensively considering the cooperation between pursuing-satellites and the rivalry between the two sides.And the solution method is designed to obtain the motion strategy of satellites during tasks.Thirdly,for the mission,a multi-satellite pursuit-evasion strategy is designed and optimized.Based on the analysis of the minimum number of pursuing satellites to complete the mission and the distribution of pursuing satellites with Apollonius circle,a pursuit-evasion strategy that divides the task into two stages,including,adjustment of pursuing satellites and game between satellites,is carried out.Multi-objective optimization is studied which reaches a balance among the cost of satellite using,steps of game required to complete the mission,and the complexity of the solution of the strategy,determining the optimal number of pursuing satellites required to complete the mission,optimizing multi-satellite pursuit-evasion missions.Finally,carry out experimental research on multi-satellites formation and control method,multi-satellite pursuit-evasion strategy based on zero-sum game.Multi-satellite game pursuit-evasion simulation platform is established and simulation experiment using multi pursuing satellites to pursuit target satellite is carried out,verifying the correctness and effectiveness of the strategy proposed in this paper.