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基于x-LMS算法的振动主动控制系统研究与开发 Abstract: Vibrationactivecontrolsystemisoneofthemostimportantresearchtopicsinmodernengineeringfield.Thispaperproposesanovelactivecontrolsystemalgorithm,x-LMS(ExtendedLeastMeanSquares),toreducevibrationinpracticalapplications.ThisalgorithmisbasedonthetraditionalLMSalgorithm,andhasglobalconvergencecharacteristics,whichcansignificantlyimprovetheperformanceoftheactivecontrolsystem.Thex-LMSalgorithmisimplementedandtestedonaprototypeactivecontrolsystem,andtheexperimentalresultsshowthatthisalgorithmcaneffectivelyreducethevibrationamplitudeofthestructureunderdifferentexcitationconditions. Introduction: Vibrationisacommonphenomenoninmanyengineeringsystemssuchasautomobiles,airplanes,ships,andbuildings.Uncontrolledvibrationcancauseequipmentdeterioration,noise,andfatiguedamage,whichisaseriousthreattothesafetyandreliabilityoftheengineeringsystem.Therefore,vibrationcontrolhasbecomeoneofthecriticalresearchareasinthefieldofmechanicalengineering. Activecontrolofvibrationisoneoftheapproachestoreducevibrationinindustrialsystems.Itisbasedontheprincipleofsuperpositionofsoundwaves,whichproducesadestructiveinterferencewavetoattenuatetheunwantedvibration.Theactivecontrolsystemconsistsofasensortodetectthevibrationsignal,acontrollertocalculatethecontrolsignal,andanactuatortogeneratethecounteractingforcetoattenuatethevibration.Amongthesethreecomponents,thecontrollerplaysacrucialroleindeterminingtheperformanceoftheactivecontrolsystem. Inrecentyears,manyalgorithmshavebeenproposedtoimprovetheperformanceoftheactivecontrolsystem.ThemostcommonlyusedalgorithminpracticalapplicationsistheLeastMeanSquares(LMS)algorithm.However,thetraditionalLMSalgorithmhassomedrawbacks,suchasslowconvergencerateandlimitedglobalconvergence.Therefore,severalextensionalgorithmshavebeenproposedtoimprovetheperformanceoftheLMSalgorithm. Inthispaper,weproposeanextendedLMSalgorithm,x-LMS,toimprovetheperformanceoftheactivecontrolsystem.Thex-LMSalgorithmhasglobalconvergencecharacteristicsandafasterconverge