外文翻译 双速率数据采样系统的仿真大学论文.docx
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外文翻译 双速率数据采样系统的仿真大学论文.docx
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外文翻译双速率数据采样系统的仿真大学论文
中文2630字
Simulationofdual-ratesampled-datasystem
Abstract:
Thesimulationproblemofadual-ratesystemisstudiedbyapplyingdiscreteliftingtechnology,quicksamplingoperatorandquickholdoperator.Themethodcanachievetheresultthatisclosetothesimulationofcontinuous-timesignal.TheconcretesimulationisstepedandprogrammedwitharealexampleunderMATLABenvironment.
Keywords:
Dual-ratesampled-datasystem;Discreteliftingtechnology;Quicksamplingoperator;Quickholdoperator
1.Introduction
Samplingcontrolsystemreferstotheobjectcontrollerforthecontinuousanddigitalsystems.Atpresent,mostcontrolsystemsarecontinuouslychargedbytheobjectunderthecontrolofthecomputerrealizationofdiscretesamplingcontrolsystem.Withthecontinuousimprovementofthesystemrequirements,single-ratesampled-datasystemscannotmeettherequirements,somulti-ratesampled-datasystemsinplace.Multi-ratesamplingcontrolsystemworksinpracticewiththeprospectofawiderangeofpractical,thisisbecause:
1)Inthecomplexmulti-variablecontrolsystem,requiresthatallphysicalsignalsinthesamesamplingfrequencyisnotrealistic.
2)samplingandtomaintainthehigherfrequency,thebettertheperformanceofthesystem,butthefastA/DandD/Aconversionmeansthatthecostis.Sofordifferentsignalbandwidth,youshoulduseadifferentA/DandD/Aconversionrate,inordertoachieveperformanceandthebestcompromisebetweenprice.
3)multi-ratecontrollerisgenerallytime-varyingcontroller,ithasasingle-ratecontrollercannotcomparethemerits.Suchasincreasingthesystemgainmargin,consistentwiththestabilityofthesystemtofacilitatetherealizationofdecentralizedcontrol.
Arelativelysimplemulti-ratesampled-datacontrolsystemisdual-ratesampled-datasystems,virtualboxasshowninFigure1.Simulationofthesystemisdefinedas:
foragiveninputsignalw,simulationofitscontinuousoutputsignalzprocess.
Figure1dual-ratesampled-datasystemswthavirtualsamplerandholder
Literature[4]isgivenasingle-ratesamplingofhigh-precisioncontrolsystemsimulation.Insingle-ratesampled-datasystemsexistinonlyasinglesamplingperiod,thusonlytheapplicationofthesimulationprocessofsomeofthemoresophisticatedtheory,suchasthecontinuoustransferfunctionofasingleratediscrete.Dual-ratesampled-datasystems,becauseoftheexistenceoftwotypesofsamplingperiod,andthecontrollertoovariablecontroller,thusincreasingthedifficultyofthesimulation.
Inthispaper,discretetechnologicalupgrading,thesystemintwodifferentsamplingperiodorganicallylinkedtothecontrollerintoatime-varyingtime-invariantcontroller.Atthesametime,theuseofrapidsamplingandrapidoperatortomaintain,giventhedual-ratesamplingcontrolsystemsimulationmethod.
2.Priorknowledge
Figure1samplersamplingperiodT1=ph,samplingoperatorS:
y(k)=Syc(t)=yc(kph),holderofthesamplingperiodT2=qh,maintainoperatorH:
uc(kqh+r)=Hu(k),0 pandqforcoprimepositiveinteger,hasthebasicsamplinginterval.Lsetupfortheleastcommonmultipleofpandq,thenT=lhforT1andT2timesofthesmallestcycleofthepublic.Sop1=l/p,q1=l/q,whileT=lh=p1ph=q1qhsetup. Gforthegeneralizedplant,thestate-spacerealizationfor Kdiscretecontrollerfordual-rateshouldbeappropriatetomeetthecausalnatureofthecyclicalandfinite-dimensional. ForanyT>0,Drspaceforthecontinuousdelayoperator,thatis,Druc(t)=uc(tT);Uspaceforthediscretesteplagoperator;U2forthediscretespaceoperatorstepahead. 1Ifthedefinitionof(U2)q1KUp1=Ktosetup,saidKforthe(p,q)-discretecontrollercycle. 2IfthedefinitionofGforthesystemtomeettheDrG=GDr,saidtheGfortheT-cyclefortime-varyingsystems. 3SimulationAlgorithm 2.1Simulationoftheexpression Kisaknowntheorem(p,q)-cycleofdiscretecontrollers,operatorandmaintenanceofsamplingoperatorasmentionedabove,theHKSfortheT-cyclefortime-varyingsystems.SeeFigure1toprovetherelationshipbetweenthesignal,thereareestablishedunderthestyle wecanseefromthedefinition2,HKSfortheT-cyclefortime-varyingsystems.HKSisacycleasaresultofT,sothecasewiththesinglerateissimilartoFigure1intherelationshipbetweeninputandoutputsystemscanbeexpressedas Or Dual-ratesamplingcontrolsysteminputandoutputchannels,byaddingavirtualsamplerandmaintainfast,andasshowninFigure1,thevirtualfastsamplerandholderofthesamplingperiodT/n. WdisthewtoT/nforthesamplingperiodofthesamplingsignal,whentheinputsignalmphtimeforthesimulation,thereWd=w(kT/n),k=0,1,...,mn/p1 zdandtherelationshipbetweenzIbid.Clearly,whenn→∞when,wd=w,zd=z.Tomakethenumberofdiscrete-timesequenceforpositiveinteger,nastheintegermultipleofl.StudyshowninFigure1ofthesimulationsystem,virtualboxcanbedual-ratesamplingcontrolsysteminputandoutputsignalsforthesimulationresults. Figure1zd=Snz,w=Hnwd,itisbythetype (2) WhichG11n,G12n,G21ntocorrespondtothecycleofT/nofthediscretization. Formula(4)isdual-ratesamplingcontrolsystemsimulationexpression. 2.2Simulationofthecalculationofexpression Expressionofdesire(4),firstobtainedG11n,G12n,G21n,SnH,SHn,(I-KSG22H)-1K,etc.value.WhichG11n,G12n,G21ncontinuoustransferfunctionofG11,G12,G21single-cycleT/nofthediscretizationareeasytocalculate.DiscussedbelowSnH,SHn,(I-KSG22H)-1Kcalculations. (1)SnHcalculation Figure2ExpressiongforInputandOutputofSHn Figure2ofthecycleinHnforT/n=lh/n,Sthecycleph,whilex2(0)=x1(0),x2 (1)=x1(n/p1),...,x2(m-1)=x1((m-1)n/p1),ItisSHn= (2)SnHcalculation SimilarlyavailableexpressionSnH (3)(I-KSG22H)-1Kcalculation Bydiscretesamplingandthediscreteoperatortomaintainthedefinitionofoperator,thereare Ψ(k)=Φ(kp)Sp2l→l,Ψ=SpΦ υ(kq+r)=Φ(k)Hq2l→lυ=HqΦ R=0,1,...,q-1 SG22H=SrSAG22HhHq=SpG22dHq(5) G22dwhichcanbeseparatedbyasinglerateprocesshbeen.For(I-KSpG22dHq)-1KisstillthecycleofchangeSpG22dHqandK,thispaperdiscreteoperatortoupgradetoturnitintotime-invariantsystems,thespecificprocessasshowninFigure3.Simulationofexpressionatthistime(4)canbeexpressedasFigure4. Enhancedbythediscrete,periodictime-varyinglinkSpG22dHqandKintothetime-invariantLp1SpG22dHqL-1q1andLq1KL-1q1,calculatedasfollows: (1)Lq1KL-1q1calculation Ifthedual-ratecontrollerofthestateequationforK WhileLq1KL-1q1stateequationcanbeexpressedas Amongwhich Figure3(I-KSG22H)-1Ktoupgradethediscretesignal Figure4(4)simulationindicate (2)Lp1SpG22dHqL-1q1calculation Lemma1forPforthestatevariablesx,thestatemodelfor[A,B,C,D],m,nandsmeetthefollowingrelationshipispositiveinteger.Thesystemstatevariablesforthediscretesamplingoperatorcanbeexpressedasastatemodel.Which Amongwhich CharacteristicsfunctionX Take ConclusionsfromtheAppeal,G22dobtainedfromLp1SpG22dHqL-1q1ofthestatespacemodel. Integratedonthesystem,wecanseeinFigure4forthesimulationprocess: mphinputsignalperiod,then 3.Simulationexample Figure1forthegeneralizedplantG AndcontrollerKis SamplingperiodT1=2s,T2=3s,p=2,q=3,h=1,p1=3,q1=2,l=6,T=6.Sothatm=6,n,respectively,for4800,7200,9600,wdforunitstepinputsignal.UsingMATLABprogramminglanguage,andthesystemsimulation,theresultsshowninFigure5. 4.Conclusion Inthispaper,dual-ratesamplingcontrolsystemofthecharacteristicsofdiscreteapplicationstoupgradetheirskills,rapidsamplingandrapidoperatortomaintainoperatortostudythedual-ratesamplingcontrolsystemsimulationmethods,andgivesconcreteexamplesofsimulationstepsandguidelines.Dual-ratecontrollerasaresultofchangingthecontrollertoo,sothedual-ratesampled-datacontrolsystemsimulationtoverifytheaccuracyoftheproblemtobefurtherstudied. Samplingcontrolsystemtechnologyhasundergonemorethanadecadeofdevelopment,butthereisafundamentalproblem.Especiallysincetheuseofupgradedtechnology,samplingcontroltheoryhasenteredanewstageofdevelopment.Becauseitcantakeintoaccounttheperformancebetweenthesamplingmoment,thereforeseemstoenhancethetransformationhasbecomeasamplingcontrolsystemanalysisanddesignoftheonlycorrectway,andtheiruseisalsoexpanding,butintherealdesignwasbroughtouthigherrequirements.Upgradeitstechnologywasoriginallydesignedfortheneedsofrelated,butnotlimitedtotheactualsituationinmanyareasoftheindividual.Thisisthespecialnatureofsampled-datasystems,especiallyinitsstructureonthesignalpath.Samplingcontrolsystemsignalchannelconstitutedbytwoparts,acontinuouschannel,andtheotherissamplingchannel.Samplingcontrolsystemupgrade,itsnormisnotentirelyequivalent.Takingintoaccountthecharacteristicsofthetwo-channelfrequencyresponsemethodproposedcanalsobegiventhesystem'sfrequencyresponseinducedbythetruenorm,willbesampled-datacontrolsystemsanalysisanddesigntherightway. 双速率数据采样系统的仿真 摘要: 双速率系统的仿真问题是采用离散提升技术、快速采样算子和快速保持算子来研究的。 该模型实现的结果与连续信号非常相近。 最后给出具体地仿真步骤,并结合实例在MATLAB环境下编程实现。 关键词: 双速率数据采样系统,离散提升技术,快速采样算子,快速保持算子 1.简介 采样控制系统是指连续和数字系统的对象控制器。 目前,大多数的
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