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1、IEEETRANSACTIONSONCIRCUITSANDSYSTEMS,VOL.CAS-34,No.8,AUGUST1987919SlidingMotionsinBilinearSwitchedNetworks.HEBER’TTSIRA-RAMIREZ,SENIORMEMBER,IEEEAMract-Thisarticle.presentsanapplicationofvariablestructureswitchposition.Switch-controllednetworkshaveim-systemstheoiy,andtheassociatedslidingre
2、gimes(Utkin[l]-[4])oftheportantapplicationsindc-dcswitch-modepowerco+systems,1)tostudyenergytransiersbetweendynamicstorageelementsinverters(SPc’s),dc-dctransformers,andotherrelatedlosslessbilinearnetworksand2)toobtainafeasiblereformulationoftheconstantregulationproblemindc-dcswitch-modepow
3、erconvertersareas.Theyconstitutea;fast-developingfieldofknowledge(SPC’s)usuallytreatedbyapproximatestate-spaceaveragingtechniqueswithongoingapplicationsinmodempowersystemselec-onpulsewidthmodulation(PWM)controlschemes.Theapproachexploitstronicsandrobotcontrol.Itisnotpossibletosurvey,inanth
4、egeometricaspectsoftheproblemsandobtainsananalysisanddesignarticleofthisnature,thevastnumberofcontributionsmethodology,basedontheidealslidingmodequalitativecharacteristics,availableinthisexcitingfieldofresearch.Forthisreason,whichisintuitivelyclear,mathematicallyfeasible,anddevoidofapproxi
5、-mations.thereaderisreferredtoarecentbookbySevemsandBloom[7],themultivolumeseriesofMiddlebrookand&k1.INTRODUCTION[8],thenumerousjournalarticlesandconferencerecords,HETHEORYOFvariablestructuresystems(VSs’s)and,inparticular,theproceedingoftheIEEEPowerTandtheuseoftheirassociatedslidingregimes
6、forElectronicsSpecialistConferences.controldesignpurposeshavebeenextensivelydevelopedThisarticlestudiestherelevanceofVSStheoryasanduringthelast20years(Utkin[l]-[4],Emel’yanov[5],analysisanddesigntoolinthefieldofcontrolledswitchedItkis[6])withasteadilygrowingnumberofapplicationnetworksmodel
7、edasbilineardynamicsystems.Twoclassesareasovertheyears(powersystemscontrol,aerospaceofconceptuallyrelatedproblemsaretreated.First,thedesignproblems,controlofroboticmanipulators).Thefeasibilityofenergytransfersbetweendynamicstoragemainobjectiveintheregulationof
