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徐州工程学院毕业设计外文翻译学生姓名学院名称机电工程学院专业名称机械设计制造及其自动化指导教师2011年5月27日英文原文AdaptiverobustposturecontrolofaparallelmanipulatordrivenbypneumaticmusclesKeywords:PneumaticmuscleParallelmanipulatorAdaptivecontrolNonlinearrobustcontrolAbstractRathersevereparametricuncertaintiesanduncertainnonlinearitiesexistinthedynamicmodelingofaparallelmanipulatordrivenbypneumaticmuscles.Thoseuncertaintiesnotonlycomefromthetime-varyingfrictionforcesandthestaticforcemodelingerrorsofpneumaticmusclesbutalsofromtheinherentcomplexnonlinearitiesandunknowndisturbancesoftheparallelmanipulator.Inthispaper,adiscontinuousprojection-basedadaptiverobustcontrolstrategyisadoptedtocompensateforboththeparametricuncertaintiesanduncertainnonlinearitiesofathree-pneumatic-muscles-drivenparallelmanipulatortoachievepreciseposturetrajectorytrackingcontrol.Theresultingcontrollereffectivelyhandlestheeffectsofvariousparametervariationsandthehard-to-modelnonlinearitiessuchasthefrictionforcesofthepneumaticmuscles.Simulationandexperimentalresultsareobtainedtoillustratetheeffectivenessoftheproposedadaptiverobustcontroller.2008ElsevierLtd.Allrightsreserved.1.IntroductionPneumaticmuscleisanewtypeofflexibleactuatorsimilartohumanmuscle.Itisusuallymadeupofarubbertubeandcrossweavesheathmaterial.Pneumaticmuscleshavetheadvantagesofcleanness,cheapness,light-weight,easymaintenance,andthehigherpower/weightandpower/volumeratioswhencomparedwithpneumaticcylinders(Ahn,Thanh,&Yang,2004).Thebasicworkingprincipleofapneumaticmuscleisasfollows:whentherubbertubeisinflated,thecross-weavesheathexperienceslateralexpansion,resultinginaxialcontractiveforceandthemovementoftheendpointpositionofthepneumaticmuscle.Thus,thepositionorforcecontrolofapneumaticmusclealongitsaxialdirectioncanberealizedbyregulatingtheinnerpressureofitsrubbertube.Theparallelmanipulatordrivenbypneumaticmuscles(PMDPM)studiedinthispaperisanewapplicationofpneumaticmuscles.ItconsistsofthreepneumaticmusclesconnectingthemovingarmoftheparallelmanipulatortoitsbaseplatformasshowninFig.1.Bycontrollingthelengthsofthreepneumaticmuscles,threedegrees-of-freedom(DOF)rotationmotionoftheparallelmanipulatorcanberealized.Suchaparallelmanipulatorcombinestheadvantagesofcompactstructureofparallelmechanismswiththeadjustablestiffnessandhighpower/volumeratioofpneumaticmuscles,whichwillhavepromisingwideapplicationsinrobotics,industrialautomation,andbionicdevices.Manyresearchershaveinvestigatedtheprecisepositioncontrolofpneumaticmusclesduringthepastseveralyears.Mostofthemdealtwiththecontrolofsingleorantagonisticpneumaticmuscles.Specifically,Bowler,Caldwell,andMedrano-Cerda(1996),employedanadaptivepole-placementschemetocontrolabi-directionalpneumaticmuscleactuatorsystem,foruseona7-DOFanthropomorphicrobotarm.CaiandYamaura(1996)presentedaslidingmodecontrollerforamanipulatordrivenbyartificialmuscleactuators.Kimura,Hara,Fujita,andKagawa(1997),appliedthefeedbacklinearizationmethodtothepositioncontrolofasingle-inputpneumaticsystemwithathird-orderdynamicsincludingthepressuredynamics.KimotoandIto(2003)addednonlinearrobustcompensationstoalinearcontrollerinordertostabilizethesystemgloballyandachieverobustnesstouncertainnonlinearities.Carbonell,Jiang,andRepperger(2001),Chan,Lilly,Repperger,andBerlin(2003),Repperger,Johnson,andPhillips(1998)andRepperger,Phillips,andKrier(1999),proposedseveralmethodssuchasfuzzybackstepping,gain-scheduling,variablestructureandfuzzyPD+IforaSISOpneumaticmusclesystemwithasecond-orderdynamicstoachieveasymptoticpositiontracking.Lilly(2003),LillyandQuesada(2004)andLillyandYang(2005),appliedtheslidingmodecontroltechniquewithboundarylayertocontrolpneumaticmuscleactuatorsarrangedinbicepandtricepconfigurations.Tian,Ding,Yang,andLin(2004),adoptedtheRPEalgorithmtotrainneuralnetworksformodelingandcontrollinganartificialmusclesystem.Hildebrandt,Sawodny,Neumann,andHartmann(2002);Sawodny,Neumann,andHartmann(2005),presentedacascadecontrollerforatwoaxisplanararticulatedroboticarmdrivenbyfourpneumaticmuscles.Asreviewedabove,someoftheresearchersdesignedrobustcontrollerswithoutconsideringthepressuredynamics,whiletheeffectofpressuredynamicsisessentialfortheprecisecontrolofpneumaticmuscles(Carbonelletal.,2001;Chanetal.,2003;Lilly,2003;Lilly&Quesada,2004;Lilly&Yang,2005;Reppergeretal.,1998,1999).Someoftheresearchersdevelopedcontrollerswiththeassumptionthatthesystemmodelisaccurate,orthatmodeluncertaintiessatisfymatchingconditiononly,whilethoseassumptionsarehardtobesatisfiedinpractice(Hildebrandtetal.,2002,2005;Kimuraetal.,1997).ForthePMDPMshowninFig.1,itnotonlyhasallthecontroldifficultiesassociatedwiththepneumaticmuscles,butalsotheaddeddifficultiesofthecoupledmulti-input-multi-output(MIMO)complexdynamicsoftheparallelmanipulatorandthelargeextentofunmatchedmodeluncertaintiesofthecombinedoverallsystem.Inotherwords,thereexistrathersevereparametricuncertaintiesanduncertainnonlinearities,whicharecausednotonlybythetime-varyingfrictionforcesandstaticforcemodelingerrorsofpneumaticmusclesbutalsobytheinherentcomplexnonlinearitiesandunknowndisturbancesoftheparallelmanipulator.Therefore,itisverydifficulttocontrolpreciselythepostureofthePMDPM.Therecentlyproposedadaptiverobustcontrol(ARC)hasbeenshowntobeaveryeffectivecontrolstrategyforsystemswithbothparametricuncertaintiesanduncertainnonlinearities(Xu&Yao,2001;Yao,2003;Yao,Bu,Reedy,&Chiu,2000;Yao&Tomizuka,2001).Thisapproacheffectivelyintegratesadaptivecontrolwithrobustcontrolthroughutilizingon-lineparameteradaptationtoreducethee
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