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JUN2013机床与液压HYDR0MECHATR0NICSENGINEERINGVO141NO12DOI103969JISSN10013881201312020ASTUDYONHIERARCHICALCOORDINATIONCONTROLSTRATEGYOFVEHICLEELECTRONICSTABILITYPROGRAMZHANGYONG,OUJIAN,YANWEN,PANGTONGCHONGQINGAUTOMOBILEINSTITUTE,CHONGQINGUNIVERSITYOFTECHNOLOGY,CHONGQING400054,CHINA1INTRODUETIONABSTRACTTODECREASEMUTUALINTERFERENCEBETWEENSYSTEMSANDIMPROVETHECONTROLEFFECTOFESPSYSTEM,TAKINGYAWANGULARVELOCITYASCONTROLVARIABLE,AKINDOFHIERARCHICALCOORDINATIONCONTROLLERISDESIGNEDBYADOPTINGFUZZYCONTROLANDPIDCONTROLALGORITHMTHETYREMODEL,ENTIREAUTOMODELANDREFERENCEMODELAREESTABLISHEDINMATLABSJMULINKANDAFOURWAYHYDRAULICBRAKEMODELAREESTABLISHEDINAMESIM;ANDALLOFTHEMODELSARECONNECTEDTOCOMBINEDSIMU1ATIONMODELFORAUTODYNAMICSBYUTILIZINGINTERFACESHARDWAREISEMBEDDEDINTOTHEENTIRESIMU1ATIONSYSTEMTOCONDUCTHARDWAREINTHELOOPSIMULATIONTESTRESULTSOFOFF1INEANDREA1TIMESIMULATIONSHOWTHAT,ITCANIMPROVEOPEMTIONSTABILITYANDSAFETYOFAUTOSEFFECTIVELYBYADOPTINGHIERARCHICALCOORDINATIONCONTROLSTRATEGYKEYWORDSELECTRONICSTABILITYPROGRAM,COORDINATIONCONTROL,HYDRAULICBRAKINGSYSTEMHARDWAREINTHELOOPSIMULATIONVEHICLEELECTRONICSTABILITYPROGRAMESP,ASAKINDOFVEHICLEACTIVESAFETYTECHNOLOGYDEVELOPEDINRECENTYEARS,HASBECOMESTANDARDAUTOCONFIGURATIONGRADUALLYBYACTIVELYCONTROLLINGVEHICLEBRAKINGSYSTEM,DRIVINGSYSTEMANDCONTROLSYSTEMETC,ITADJUSTSAMPLITUDEANDDISTRIBUTIONOFWHEELSLONGITUDINALFORCEANDTRANSVERSEFORCETOEONTROLTHEDYNAMICSMODEOFAUTOUNDERANYCASETOIMPROVETHESAFETYPROPERTYANDTHECONTROLSTABILITYOFAUTO12ESPISAMULTIPLENON1INEARSYSTEMWHICHINCLUDESDRIVING,BRAKINGANDTRANSVERSESTABILIZINGETCCONTROLFUNCTIONS,ANDADOPTSSTATUSCONTROLOROPTIMUMCONTROLBASEDONMATHEMATICALMODELTHEREAREMANYPARAMETERSWHICHSHOULDBEMEASURED,EVALUATEDANDIDENTIFIEDSOTHEAMOUNTOFCALCULATIONRECEIVED20130216SUPPOSEDBYNATURALSCIENCEFOUNDATIONPROJECTOFCHONGQINGCSTC,2008BB6338ZHANGYONGEMAILCAMZY163COMISVERYGREAT,ANDTHEROBUSTNESSISNOTSTRONGRRLEMOTIONCONDITIONSANDTHEPARAMETERSOFAUTOCHANGEINEVERYMOMENTDURINGTHEMOTION,ANDITISVERYDI伍CULTTOFINDOUTAKINDOFOPTIMUMCONTROLSTRATEGY34THEREFORE,BASEDONANALYZINGMUTUALINFLUENCEAMONGSYSTEMS,THETHESISPROPOSESAKINDOFHIERARCHICALCOORDINATIONCONTROLSTRATEGYTAKINGYAWANGULARVELOCITYASCONTRO1VARIABLEANDADOPTINGFUZZYCONTROLANDPIDCONTROLALGORITHM,THEADOPTINGFUZZYCONTROLANDPIDCONTROLALGORITHMAREDESIGNEDTHERESULTSOFTHESIMULATIONSHOWTHATTHEHIERARCHICAICOORDINATIONCONTROLSTRATEGYCANDECREASEMUTUALINTERFERENCEAMONGSYSTEMSANDIMPROVESTABILITYCONTROLLINGEFFECT2CONTROLLERDESIGNBASEDONTHEMETHODOFACTIVEBRAKINGONWHEELSINORDERTOOBTAINCOMPENSATEDYAWINGMOMENTTOIMPROVETHEVEHICLEHANDLINGSTABILITY,SELECTINGTHEYAWANGULARVELOCITYASTHECONTROLVARIABLE,ANDUSINGHIERARCHICALCOORDINATIONCONTROLSTRATEGYFUZZVCONTROLANDPIDCONTROLALGORITHMTHEVEHICLEELECTRONICSTA96HYDROMECHATRONICSENGINEERINGBILITYPROGRAMMODELISESTABLISHED21THEOVERALLSTRUCTUREOFTHEHIERARCHICALCOORDINATIONCONTROLSTRATEGYASSHOWNINFIG,1,THEWHOLEVEHICLEELECTRONICSTABILITYPROGRAMISDIVIDEDINTOTHREECONTROLLEVELS5THEFIRSTLEVE1TAKESTHEPOSTUREOFENTIREAUTOASCONTROLOBJECT,TAKESYAWANGULARVELOCITYANDNOMINALYAWANGULARVELOCITYOFAUTOMODELASINPUTVALUESOFCONTROLLER,ANDTAKESOBJECTIVEYAWINGMOMENTASINPUTVALUETOTRANSFERTOTHESECONDCONTROLLEVELTHESECONDCONTROLLEVELTAKESWHEELSASCONTROLLEDOBJECTS,TAKESOBJECTIVEYAWINGMOMENTVALUEANDTURNINGANGLEOFFRONTWHEELSASINPUTVALUESTOCONDUCTTHEDISTRIBUTIONOFYAWINGMOMENTANDTHECALCULATIONOFBRAKINGPRESSURETOTRANSFERTO出ETHIRDCONTROLLEVELTHETHIRDLEVELTAKESELECTROMAGNETICVALVESANDDUMPPUMPMOTORASCONTROLLEDOBJECTSBYCOMPARINGTHEOBJECTIVEBRAKINGPRESSUREANDTHEAETUA1BRAKINGTOTURNONTURNOFFELECTROMAGNETICVALVE,ITREALIZESTHEPRESSUREADJUSTMENTOFBRAKINGWHEELCYLINDERFIG1OVERALLSTRUCTUREOFTHEHIERARCHICALCOORDINATIONCONTROLSTRATEGY22OBJECTIVEYAWINGMOMENTALGORITHMTHEOBJECTIVEYAWINGMOMENTADOPTSFUZZYCONTROLALGORITHM,ANDTAKESYAWANGULARVELOCITYASCONTROLVARIABLE,OBJECTIVEYAWINGMOMENTASOUTPUTTOESTABLISHTHECONTROLLER6ASSHOWNINFIG2,THETHEVARIABLEERROREISSETAS一E,E;THEUNIVERSERANGEOFTHEERRORCHANGINGRATEECISSETAS一EC,EC;THEUNIVERSERANGEOFCONTROLQUANTITYUISSETAS一,OFWHICH,E,ECANDUVALUESAREDETERMINEDACCORDINGTOERRORVALUEBETWEENVEHICLEACTUALYAWANGULARVELOCITYGOTTENBYCOLLECTINGANDREFERENCEMODELSNOMINALYAWANGULARVELOCITYGOTTENBYCALCULATINGFRONTWHEELSTECONTROL】ERFIG2YAWRATECONTROLBLOCKDIAGRAMTHEFUZZYSETSANDTHEUNIVERSERANGEOFNORMALIZEDVARIABLEERRORE,THEERRORCHANGINGECANDTHECONTROLQUANTITYUAREDEFINEDASFOLLOWSTHEFUZZYSETSOFE,ECANDUAREDEFINEDASNB,NS,Z,PS,PBHEREARETHEUNIVERSEOFFUZZYSETSWHICHTHEVBELONGTOEANDEC一1,一08,一06,一04,一02,0,02,04,06,08,1一1,一08,一06,一04,一02,0,02,04,06,08,I;THEMEMBERSHIPFUNCTIONISSHOWNINFIG,34ANDTHEFUZZYCONTROLRULESARESHOWNINTAB1010080604O20O204O60810INPUTVARIABLEEFIG3E,ECMEMBERSHIPFUNCTION1005O1008060402002040608I0INPUTVARIABLE“E”FIG4CONTROLQUANTITYUSMEMBERSHIPFUNCTION23DISTRIBUTIONOFYAWINGMOMENTANDEALCULATIONOFBRAKINGFORCETHEYAWINGMOMENTADOPTSMATLABSTATEFLOWZHANGYONG,ETALASTUDYONHIERARCHICALCOORDINATIONCONTROLSTRATEGYOFVEHICLEELECTRONICSTABILITY97TODISTRIBUTESTATEFLOWJUDGESTHEVEHICLEMOTIONSTATEACCORDINGTOTHEFRONTWHEELSTURNINGANGLEANDTHEDIFFERENCEVALUEOFYAWANGULARVELOCITYAYA1一ID1,ANDTHENDECIDESHOWTOCONTROLWHEELS,ASSHOWNINTAB2ITISREGULATEDTHATTHEVALUEDIFFERFRAMEISSHOWNINFIG5FIG5PIDCONTROLBLOCKDIAGRAMENCEISPOSITIVEIFTHEYAWANGULARVELOCITYISCOUNTER。CLOCKWISE,ANDTHETURNINGANGLEOFSTEERINGWHEELIS3ESPCOMBINEDSIMULATIONMODELPOSITIVEIFTHEFRONTWHEELTURNSLEFTTAB1FUZZYCONTROLRULESTHEGOALOFTHEPRESSURENEEDOFPRODUCINGEERRAINYAWINGMOMENTOFBRAKEWHEELCYLINDERIS苦1WHERE,D一WHEELCYLINDERDIAMETER;NNUMBEROFUNILATERALBRAKECYLINDER;CBRAKEEFFECTIVENESSFACTOR;R6一BRAKEWORKINGRADIUS;RDTYREDYNAMICLOADRADIUSTAB2CONTRO1WHEEISELECTRULES24VALVEANDMOTORCONTROLALGORITHMINBRAKINGSYSTEM,DERPRESSUREINCREASINGTHEPRESSURESOFWHEELCYLINANDPRESSUREDECREASINGVALVESADOPTPWMTOADJUST,ANDTHEVALUEDIFFERENCEBETWEENTHEWHEELCYLINDERSOBJECTIVEPRESSUREANDTHEREALPRESSURECOLLECTEDISTAKENASTHEINPUTVALUES;AFTERPIDCONTROLLING,THEDUTYRATIOOFPWMISOUTPUTTEDTOREALIZETHEPRESSUREINCREASINGANDPRESSUREDECREASINGOFTHEWHEELEYLINRANDITSCONTROL31VEHICLEDYNAMICSSIMULATIONMODELMATIABSIMULINKSOFTWAREHASALLKINDSOFLINEARANDNONLINEARMODULEANDCONTROLMODULE,ETCITCANBEUSEDTOESTABLISHTHEVEHICLEDYNAMICSMODELINTHECONTROLSYSTEMMODEL,ANDCANALSOBEUSEDINTHESTUDYOFTHEVEHICLEELECTRONICSTABILITYPROGRAMTHEREFORE,BASEDONTHEMATLABSIMULINKPLATFORM,THETYREMODEL,SEVENDEGREESOFFREEDOMVEHICLEMODE1ANDTHETWODEGREESOFFREEDOMLINEARREFERENCEMODELWHICHCANREFLECTTHERELATIONSHIPBETWEENTHEDRIVERSTEERINGINPUTANDTHEYAWANGULARVELOCITYAREESTABLISHEDSEEFIG6FIG6VEHICLEDYNAMICSSIMULATIONMODEL311TYREMODELMAGICFORMULAOFTYREMODELISASEMIEMPIRICALTYREMODELBASEDONTESTDATA,WHICHUTILIZESTRIGONOMETRICFUNCTIONCOMBINATIONALFORMULATOEXPRESSIONGITUDINALFORCE,TRANSVERSEFORCEANDALIGNINGTORQUE,ANDTHEEXPRESSIONIS7YDSINCARCTANB1一DXSEBARCTANBXSH51WHERETHELONGITUDINALFORCEORLATERALFORCEOFTYRE;一THESLIPRATEORLATERALDECLINATIONOFTYRE;DCUIVEPEAKVALUEFACTOR,SHOWSTHEMAXIMUMVALUEOFTHECURVE;CCUI、,ESHAPEFACTOR,DETERMINESBASICSHAPEOFTHECURVEBSTIFFNESSFACTOR;ECURVATUREFACTOR,SHOWSTHESHAPEOFPARTCLOSETOTHEMAXIMUMVALUESHTHEDRIFTONHORIZONTALDIRECTIONOFTHECUNES。,一THEDRIFTONVERTICALDIRECTIONOFTHEC1】RVE98HYDROMECHATRONICSENGINEERINGUNDERTHECOMBINEDOPERATINGCONDITIONSOFTHEBRAKINGDRIVINGANDTHESTEERING,THELONGITUDINALFORCEFANDTHELATERALFORCEFYNEEDTOADOPTTHESLIPRATEAANDTHELATERALDECLINATIONOTTOCORRECTORY;ORY2WHERE,厢,一,一312SEVENDEGREESOFFREEDOMVEHICLEMODELAUTODYNAMICSMODELWHICHINCLUDESLONGITUDINALMOTION,TRANSVERSEMOTION。YAWMOTIONANDTURNINGMOTIONOFFOURWHEELS,WASESTABLISHEDBASEDONNEWTONSLAWLONGITUDINALDYNAMICSEQUATIONM一秽COS一SI硒“FTRANSVERSEDYNAMICSEQUATIONMSIN6FXAF毋E0S8FDFYAWINGMOTIONEQUATION34。SIN6D一C。NFYRC。一SI硒一BFL一一5TURNINGKINEMATICEQUATIONOFWHEELS,一R6,一F矿R7DO一F,RLR8,一9WHERE,MISTHEMASSOFENTIREAUTO;IS山ELATERALVELOCITY;ISTHELONGITUDINALVELOCITY;ISTHEYAWANGULARVELOCITYFM,F,F试ANDFRARETHEIONGITUDINALFORCEOFFRONTLEFTWHEEL,THEFRONTRIGHTWHEE1THEBACK1EFTWHEELANDTHEBACKRIGHTWHEELRESPECTIVELY;6ISTHETURNINGANGLEOFFRONTWHEELS;ISTHEYAWINGMOMENTOFINERTIA;AISTHEDISTANCEFROMMASSCENTERTOFRONTSHAFTANDBISTHEDISTANCEFROMMASSCENTERTOBACKSHAFT;DISTHEWHEELTRACKOFAUTO;JSHOWSTHEMOMENTOFINERTIAOFTYRES;ISTHEANGULARVELOCITYOFWHEELS;TBIISTHEBRAKEMOMENTONEACHWHEELRISTHERADIUSOFWHEE1313REFERENCEMODELLINEARTWOFREEDOMAUTOMODELISUTILIZEDTOCA1CU|ATETHEIDEALYAWANGULARVELOCITYANDMASSCENTERLATERA1DECLINATIONOFAUTOANDITSMOTIONDIFFERENTIALEQUATIONIS8K1K2口0K1一BK2K16MU。_6N10THEIDEALYAWANGULARVELOCITYWILLBELIMITEDBYADHESIONCONDITIONSOFROADSURFACE,IELAIG,OTHERWISE,SIDESLIPPINGWILLOCCURIFTHELATERALDECLINATIONISSMALIAM,SO,IFTHEAUTOLQLNSONTHEROADSURFACEWITHLOWADHESION,THEMAXIMUMNOMINALYAWANGULARVELOCITYOFAUTOISEXPRESSEDAS11TOSATISFYDIFFERENTRUNNINGCONDITIONS,THESMALLERNOMINALYAWANGULARVELOCITYSHOULDBETAKENYNOMINII,F。FSIGN61232VEHICLEHYDRAULICBRAKINGSYSTEMSIMULATIONMODELTHEVEHICLEHYDRAULICBRAKINGSYSTEMISTHEHIGHSPEEDACTUATOROFTHEELECTRONICSTABILITYPROGRAM,THEHYDRAULICCONTROLVALVESMUSTRESPONDTOTHECONTROLINSTRUCTIONSINASHORTTIME,ANDTHEDYNAMICRESPONSECHARACTERISTICSDIRECTLYDETERMINETHEVALIDITYANDRELIABILITYOFTHEELECTRONICSTABILITYPROGRAMTHEREFORE,THERESEARCHONDYNAMICRESPONSECHARACTERISTICSOFTHEHYDRAULICACTUATORS,THEDESIGNOFHIGHEFFICIENTCONTROLSYSTEM,ANDENSURINGTHERELIABILITYOFTHESYSTEMAREVERYNECESSARYINAMESIMSOFTWARE,THEHYDRAULICBRAKINGSYSTERNMODEL,INCLUDINGTHEMASTERCYLINDERMODEL,THEHYDRAULICELEMENTMODELANDTHEWHEELCYLINDERMODEL,ISESTABLISHED9THEMASTERCYLINDERADOPTSBICAVITYTANDEMTYPEMASTERMODELSUPPLIEDBYAMESIMSOFTWARE,ANDTHECHARACTERISTICPARAMETERSSHOULDBESETACCORDINGTOTHESAMPLEAUTOTOPREVENTTHATTHEHYDRAULICSYSTEMESTABLISHESTHEPRESSUREFORMUCHLONGTIMEUNDERLOWTEMPERATURECONDITION,THEPREPRESSINGELEMENTISADOPTEDTOCONDUCTPREPRESSINGONTHESYSTEMHYDRAULICELEMENTISTHECORECOMPONENTOFESPSYSTEM;EACHELECTROMAGNETICVALVECONDUCTSONANDOFFACTIONTOCONTROLLOOPACCORDINGTOECUCOMMANDTOADJUSTPRESSUREOFTHESYSTEMANDEACHBRAKINGWHEELCYLINDERTHEMOTORISDCMOTOR;THEDUMPPUMPISHIGHPRESSUREPLUNGERPUMP;THEACCUMULATORISSPRINGPISTONTYPE;THEPRESSUREINCREASINGZHANGYONG,ETALASTUDYONHIERARCHICALCOORDINATIONCONTROLSTRATEGYOFVEHICLEELECTRONICSTABILITYPROGRAMVALVE,THEPRESSDECREASINGVALVEANDTHESUCTIONVALVEARETYPICALBIBITBIWAYELECTROMAGNETICVALVESTHEHYDRAULICELEMENTMODELCANBEESTABLISHEDBYSELECTINGPROPERCOMPONENTSINCOMPONENTSTORAGETHEWHEELCYLINDERADOPTSWHEELCYLINDERSUPPLIEDBYAMESIMSOFTWARE,ANDTHECHARACTERISTICPARAMETERSSHOULDBESETACCORDINGTOTHESAMPLEAUTO33SIMULINKAMESIMCOMBINEDSIMULATIONMODELINSIMULINKTHECONTROLSYSTEMMODELISESTAB1ISHEDTOCONTROL12ELECTROMAGNETICVALVESAND1DUMPPUMPMOTOROFESPHYDRAULICELEMENT,ANDTOCONDUCTPRESSURECOLLECTIONONFOURWHEELHYDRAULICCYLINDERSASSHOWNINFIG7,THEHYDRAULICBRAKINGSYSTEMMODELESTABLISHEDINAMESIMANDTHEAUTOMODELESTABLISHEDINSIMULINKSHOULDBECONNECTEDTHROUGHSOFTWAREINTERFACESTOESTABLISHESPCOMBINEDSIMULATIONMODE1FIG7SIMULINKAMESIMCOMBINEDSIMULATIONMODEL4OFFLINESIMULATIONTESTANDANALYSISTAKINGAPASSENGERAUTOASEXAMPLE,OFFLINESIMULATIONANALYSISISCONDUCTEDONESPCOMBINEDSIMULATIONMODELUNDERTYPICALWORKINGCONDITIONSANDSIMULATIONWORKINGCONDITIONSARESHOWNINT3TAB3SIMULATIONWORKINGCONDITIONSFROMFIG810,WHENHIGHVELOCITYSNAKESHAPETESTISCONDUCTEDONROADWITHHIGHADHESION,THEYAWANGULARVELOCITYOFAUTOWITHOUTESPCONTROLCHANGESGREATLY,ANDTHEAUTOWILLPRESENTUNSTABLESTATEESPSYSTEMCANSELECTOPTIMUMWHEELTOCONDUCTBRAKINGFORCEADJUSTMENTACCORDINGTOVEHICLEMOTIONSTATETOMAKEWHEELCYLINDERFLOWANDPRESSURERAPIDRESPONSEANDTHEYAWANGULARVELOCITYCLOSETONOMINALVALUE005L0L520253O354OTSFIG8YAWANGULARVELOCITYRESPONSESUNDERWORKINGCONDITION1OO51O152O253O354OTSFIG9WHEELCYLINDERPRESSURERESPONSESUNDERWORKINGCONDITION1I吐IL_IF一FLFRRL一RR00L0203040TSFIG10WHEELCYLINDERFLOWRESPONSESUNDERWORKINGCONDITION1FROMFIG1113WHENHIGHVELOCITYSNAKESHAPETESTISCONDUCTEDONROADWITHLOWADHESION,THEADHESIONFORCECANNOTFULLYSATISFYTHESTEERINGREQUIREMENTOFAUTOTHEVEHICLEYAWANGULARVELOCITYWITHOUTESPCONTROLHASDIVERGED,ANDTHEAUTOWILLPRESENTUNSTABLESTATEANDTHEVEHICLEYAWANGULARVELOCITYWITHESPCONTROLCANFOLLOWNOMINALYAWANGULARVELOCITYBETTER,ANDTHEAUTOCANKEEPSTABLE5O505O5O5O5221LOO1122OOOOO加加加一晕。营208642O磊拿砷盆642024680OO0O加加加加一UIGR1一葛事0ZHANGYONG,ETALASTUDYONHIERARCHICALCOORDINATIONCONTROLSTRATEGYOFVEHICLEELECTRONICSTABILITYPROGRAM101TIVELYANDTHECONTROLALGORITHMISEFFECTIVEBECAUSEOFUSINGTHEBRAKESYSTEM,THEHYDRAULICUNITOBJECTSINSTEADOFTHEMATHEMATICALMODE1THEREARESOMEDIFFERENCESBETWEENTHEHARDWAREINTHE1OOPSIMULATIONTESTRESULTSANDTHEOFFLINESIMULATIONRESULTSTHEPULSEOFTHEHYDRAULICSYSTEMCANMAKETHEVEHICLETINYSWINGING,BUTITDOESNOTAFFECTTHESTABILITYOFTHEVEHICLEBOTHSENSORSIGNALANDDRIVINGSIGNALAREREALVOLTAGESIGNAL,INCLUDINGCERTAINNOISESIGNALWHICHMAKESTHETESTMUCHCLOSERTOREALCONDITIONSITSHOWSTHATESPALGORITHMHASCERTAINROBUSTNESS6CONCLUSIONSFUZZYCONTROLANDPIDCONTROLALGORITHMARE印一PLIEDINTHEVEHICLEDYNAMICSTABILITYCONTROLSYSTEMANDTHEHIERARCHICALCOORDINATIONCONTROLLERWHICHDECREASESTHEMUTUALINTERFERENCEBETWEENSYSTEMSANDIMPROVESTHEROBUSTNESSOFESPSYSTEMBYUTILIZINGMATLABSIMULINKANDAMESIMCOMBINEDSIMULATIONTECHNOLOGY,THECOMBINEDSIMULATIONMODELFORVEHICLEDYNAMICSTABILITYWASESTABLISHED,ANDTHEHIGHVELOCITYSNAKESHAPESIMULATIONTESTWASCONDUCTEDANDTHECORRECTNESSOFTHEESTABLISHEDMODELANDTHECONTROLSYSTEMHASBEENPROOFEDA1READYTHEVEHICLEHARDWAREINTHE1OOPSIMULATIONPLAFFORILLWASESTABLISHEDBASEDONDSPACEANDTHEAUTOMATICGENERATIONOFCODENUMBERWASFINISHEDTHERESULTSOFTHEHARDWAREINTHE1OOPSIMULATIONTESTSHOWTHATTHEHIERARCHICALCOORDINATIONCONTROLSTRATEGYPOSSESSESFAVORABLEREALTIMEPROPERTYANDCOULDIMPROVEVEHICLESTABILITYUNDERUTMOSTWORKINGCONDIT

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