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捷联惯性导航传统比力积分算法与对偶四元数算法的比较研究 Title:ComparativeStudyonTraditionalDouble-IntegrationandDual-QuaternionAlgorithmsinInertialNavigationforStrapdownInertialNavigationSystems Abstract: Strapdowninertialnavigationsystems(SINS)playavitalroleinprovidingaccuratenavigationsolutionsforvariousapplicationssuchasautonomousvehicles,robotics,andaerospacesystems.Inthisstudy,weaimtocompareandanalyzetheperformanceoftwocommonlyusedalgorithmsinSINS,namely,thetraditionaldouble-integrationalgorithmandthedual-quaternionalgorithm. Introduction: Strapdowninertialnavigationsystemsrelyontheprinciplesofdoubleintegrationtoestimatetheposition,velocity,andattitudeofamovingobject.Traditionally,theaccelerometerandgyroscopemeasurementsareprocessedusingadouble-integrationalgorithmtoestimatethesedynamicparameters.However,recentadvancementsinquaternion-basedalgorithms,suchasthedual-quaternionalgorithm,haveshownpromiseinimprovingtheaccuracyandrobustnessofthenavigationsolution.Hence,acomparativestudybetweenthesetwoalgorithmsisnecessarytounderstandtheiradvantagesanddisadvantages. Methodology: Tocarryoutthiscomparativestudy,wewillfirstprovideabriefoverviewoftheunderlyingprinciplesofthetraditionaldouble-integrationalgorithmandthedual-quaternionalgorithm.Wewillexplainhowtheinertialsensormeasurementsareprocessedandintegratedovertimetoestimatethekinematicparameters.Themathematicalformulationsandalgorithmsusedforeachapproachwillbedescribedindetail. Next,wewillcomparetheperformanceofthetwoalgorithmsintermsofaccuracy,stability,computationalcomplexity,androbustnesstonoiseandbias.Simulatedscenariosandrealmotiondatawillbeusedtoevaluatetheperformanceofthealgorithmsundervariousconditions.Keymetrics,suchaspositionerror,velocityerror,andattitudeerror,willbeanalyzedandcompared. ResultsandDiscussion: Theresultsobtainedfromoursimulationandanalysiswillbepresentedanddiscussed.Wewillcomparetheaccuracyandstabilityoftheposition,velocity,andattitudeestimatesobtainedfromthetraditionaldouble-integrationalgorithmandthedual-quaternional