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基于Lyapunov最优反馈控制的月球中继卫星转移轨道设计.docx

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基于Lyapunov最优反馈控制的月球中继卫星转移轨道设计 Abstract Thispaperpresentsadesignfortransferorbitofalunarrelaysatellite(LRS)usingLyapunovoptimalfeedbackcontrol.ThemainobjectiveistoachieveastableandenergyefficienttransferorbitthatenablesacontinuouscommunicationlinkbetweenEarthandthelunarsurface.TheuseofLyapunovcontrolmethodprovidesarobustandaccuratetrajectoryplanning,whichisimportantforthesuccessoftheLRSmission.ThedesignprocessinvolvesanalyzingthedynamicsoftheLRSandselectingappropriatecontrolparameterstominimizefuelconsumptionwhilemaintainingastabletrajectory.Simulationresultsshowthattheproposeddesigniseffectiveandmeetsthemissiongoals. Introduction Thelunarrelaysatellite(LRS)isanimportantelementoflunarexplorationmissions.ItservesasacommunicationlinkbetweenEarthandvariouslunarspacecrafts,rovers,andlanders.TheLRSmustbeplacedinastableorbitthatprovidesacontinuousline-of-sightcommunicationlinkbetweenEarthandthelunarsurface.TheorbitmustalsobeenergyefficienttominimizefuelconsumptionandextendthelifetimeoftheLRS.ThedesignoftheLRStransferorbitisthereforecriticaltothesuccessofthemission. Inthispaper,adesignforthetransferorbitofanLRSispresentedusingLyapunovoptimalfeedbackcontrolmethod.TheuseofLyapunovcontrolmethodprovidesarobustandaccuratetrajectoryplanning,ensuringthattheLRSmaintainsastableandenergyefficienttransferorbit. Methodology ThedynamicsoftheLRSwereanalyzedusingthetwo-bodyapproximation,neglectingtheeffectsoflunargravityperturbations.ThestateoftheLRSwasdefinedintermsofitspositionandvelocityvectorsinageocentricequatorialcoordinatesystem.ThetransferorbitwasmodeledasanellipsewithitscenterattheEarth'scenter.Theobjectivewastofindcontrolparametersthatminimizethefuelconsumptionwhileensuringastabletransferorbit. LyapunovoptimalfeedbackcontrolmethodwasusedtodesignthecontrollawfortheLRS.ThemethodinvolvesdefiningaLyapunovfunctionthatispositivedefiniteanddecreasesovertimealongthetrajectoryoftheLRS.ThecontrollawisthendesignedsuchthattheLyapunovfunctiondecreasesatamaximalrate,ensuringastabletrajectory.