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Kalman滤波在MEMS陀螺仪测量船舶回转率中的应用 Title:ApplicationofKalmanFilteringinMeasuringShip'sYawRateusingMEMSGyroscopes Abstract: Inrecentyears,therehasbeenagrowinginterestinusingmicroelectromechanicalsystems(MEMS)gyroscopesformeasuringtheyawrateofships.However,MEMSgyroscopessufferfromvariousimperfectionsandinaccuraciesduetonoise,bias,anddrift.Kalmanfiltering,arecursiveestimationtechnique,hasemergedasaneffectivemethodformitigatingtheseerrorsandenhancingtheaccuracyandreliabilityofMEMSgyroscopemeasurements.ThispaperaimstoexploretheapplicationofKalmanfilteringinmeasuringship'syawrateusingMEMSgyroscopes. Introduction: Theaccuratemeasurementofaship'syawrateisacriticalparameterforvariousmaritimeapplications,includingnavigation,controlsystems,andstabilityanalysis.MEMSgyroscopesprovidealow-costandcompactsolutionformeasuringangularrate,makingthemanattractivechoiceforsuchapplications.However,MEMSgyroscopessufferfrominherentimperfections,includingnoise,bias,anddrift,whichcansignificantlyaffecttheaccuracyofthemeasurements.Kalmanfiltering,withitsabilitytoestimatethetruestateofadynamicsystembyfusingnoisyandimperfectmeasurements,offersapromisingsolutiontoenhancetheperformanceofMEMSgyroscopes. PrinciplesofKalmanFiltering: Kalmanfilteringisarecursiveestimationtechniquethatusesamathematicalmodelofthesystem'sbehaviorandthemeasureddatatoestimatethetruestateofthesystem.Itinvolvestwosteps:predictionandupdate.Inthepredictionstep,theKalmanfilterusesthesystemdynamicsmodeltopredictthefuturestatebasedonthepreviousstateestimateandthecontrolinputs.Intheupdatestep,thefiltercombinesthepredictedstatewiththecurrentmeasurementtoobtainanoptimalestimateofthetruestate. ApplicationofKalmanFilteringinMEMSGyroscopes: ToapplyKalmanfilteringtoMEMSgyroscopes,astate-spacemodelisconstructedthatdefinestherelationshipbetweenthetruestate,themeasurements,andthesystemdynamics.Themodeltakesintoaccountthenoisecharacteristicsofthegyroscope'soutput,includingbiasanddrift.TheKalmanfilterthenusesthismodeltoestimatethetrueyawratebasedon

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