Situation analysis method based on level set for spacecraft pursuit-evasion game
Spacecraft pursuit-evasion game is currently a research hotspot in the field of aerospace dynamics and control.Qualitative spacecraft pursuit-evasion game was studied in order to provide feasibility support for strategy design,and a situation analysis method for scenarios in close range was proposed by comprehensively using dimension-reduction dynamics and backwards reachability set.A dimension-reduction dynamic model was derived in the line-of-sight rotation coordinate system,and the pursuit-evasion qualitative model of the game system was determined to reduce state space dimension.The backwards reachable set of the target set was used to divide the pursuit-evasion state space and describe the capture zone.A time-dependent HJI(Hamilton-Jacobi-Isaacs)PDE(partial differential equation)was established to describe the evolution of backwards reachable set in the dimension-reduction dynamics,based on level set method,and a WENO-TVD(weighted essentially non-oscillatory-total variation diminishing)solver was designed to numerically calculate the viscous solution of the final value problem of the HJI PDE.These measures achieve the accurate description of pursuit-evasion target set and avoid the possible terminal singularity.The effectiveness of the method was demonstrated by numerical simulations of several pursuit-evasion scenarios with different thrust configurations,and the function of batch processing of initial situations in a single calculation was demonstrated.
spacecraft pursuit-evasion gamefeasibility analysislevel set method
万方数据
维普
