基于Lyapunov最优反馈控制的月球中继卫星转移轨道设计

基于Lyapunov最优反馈控制的月球中继卫星转移轨道设计AbstractThis paper presents a design for transfer orbit of a lunar rela

Lyapunov 基于最优反馈控制的月球中继卫星转移 轨道设计 Abstract Thispaperpresentsadesignfortransferorbitofalunarrelay satellite(LRS)usingLyapunovoptimalfeedbackcontrol.Themain objectiveistoachieveastableandenergyefficienttransferorbit thatenablesacontinuouscommunicationlinkbetweenEarthand thelunarsurface.TheuseofLyapunovcontrolmethodprovidesa robustandaccuratetrajectoryplanning,whichisimportantforthe successoftheLRSmission.Thedesignprocessinvolvesanalyzing thedynamicsoftheLRSandselectingappropriatecontrol parameterstominimizefuelconsumptionwhilemaintaininga stabletrajectory.Simulationresultsshowthattheproposed designiseffectiveandmeetsthemissiongoals. Introduction Thelunarrelaysatellite(LRS)isanimportantelementoflunar explorationmissions.Itservesasacommunicationlinkbetween Earthandvariouslunarspacecrafts,rovers,andlanders.TheLRS mustbeplacedinastableorbitthatprovidesacontinuous line-of-sightcommunicationlinkbetweenEarthandthelunar surface.Theorbitmustalsobeenergyefficienttominimizefuel consumptionandextendthelifetimeoftheLRS.Thedesignofthe LRStransferorbitisthereforecriticaltothesuccessofthemission. Inthispaper,adesignforthetransferorbitofanLRSis presentedusingLyapunovoptimalfeedbackcontrolmethod.The useofLyapunovcontrolmethodprovidesarobustandaccurate trajectoryplanning,ensuringthattheLRSmaintainsastableand energyefficienttransferorbit. Methodology ThedynamicsoftheLRSwereanalyzedusingthetwo-body approximation,neglectingtheeffectsoflunargravity perturbations.ThestateoftheLRSwasdefinedintermsofits positionandvelocityvectorsinageocentricequatorialcoordinate system.Thetransferorbitwasmodeledasanellipsewithits centerattheEarth'scenter.Theobjectivewastofindcontrol