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1、SmallLaunchVehicleTrajectoryProfileOptimizationUsingHybridAlgorithmFredyM.Villanueva*,HeLinshu*,AmerFarhanRafique**,andTawfiqurRahman**SchoolofAstronautics,BeihangUniversity,Beijing100191,China,**MechanicalEngineeringDepartment,MohammadAliJinnahUniversity,Islam
2、abad,PakistanAbstract-Ahybridoptimizationapproachcombiningainsidethesearchspaceinordertoguaranteeconvergence.geneticalgorithm(GA)withsequentialquadraticReference[8]proposedahybridizationofGAwithSQPprogramming(SQP)hasbeenusedforoptimizationofthetosolveareusabler
3、eentryvehicletrajectoryoptimization.trajectoryprofileofathreestagesolidpropellantsmallAdditionally,[9],[10],and[II]providesacomprehensivelaunchvehicleconfiguredfromexistingsolidrocketmotors.implementationofGAinLVmultidisciplinarydesignandTheselectedlaunchvehicl
4、e(LV)iscapableofdeliveringaoptimization.smallsatelliteof80kgtoalowearthorbit(LEO)of660kmReferences[12]and[13]haveappliedhybridmethodsaltitude.ThishybridoptimizationapproachcombinesthebasedonGAandgradient-basedmethodsinLVdesignadvantageofGAasaglobaloptimizerandc
5、omplementedoptimization.withSQPtofindthelocaloptimum.Theverticalflighttime,launchmaneuvervariable,maximumangleofattack,11.HYBRIDOPTIMIZATIONSTRATEGYcoastingtimebetweenthefirstandsecondstageandthesecondcoastingtimebetweenthesecondandthirdstageA.OptimizationAppro
6、achwereoptimized.ItisshownthattheproposedhybridThereareseveralmethodstosolvethetrajectoryoptimizationapproachwasabletofindtheconvergenceofoptimizationproblem,themostusedisthecollocationtheoptimalsolutionwithveryacceptablevalues.method,howeverforthepresentresear
7、cheffortahybridapproachisconsidered.Thishybridizationapproach1.INTRODUCTIONintendedtousetheadvantagesofaglobaloptimizerasThetrajectoryprofileoptimizationofaLVisoneofthewellastheadvantagesofalocaloptimizerinakeycost-effectivewaystoputapayloadintoitsprescribedseq
8、uentiallystackedoptimizationproblem.orbit.Awell-definedtrajectoryallowsreductionofmassTheGAoptimizationmethodisoneofthemostusedofauxiliaryequipment,aswellaslessensthefuelglo
