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-datasystemAbstract:Thesimulationproblemofadual-ratesystemisstudiedbyapplyingdiscreteliftingtechnology,quicksamplingoperatorandquickholdoperator.Themethodcanachievetheresultthatisclosetothesimulationofcontinuous-timesignal.TheconcretesimulationisstepedandprogrammedwitharealexampleunderMATLABenvironment.Keywords:Dual-ratesampled-datasystem;Discreteliftingtechnology;Quicksamplingoperator;QuickholdoperatorIntroductionSamplingcontrolsystemreferstotheobjectcontrollerforthecontinuousanddigitalsystems.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-datasystemswthavirtualsamplerandholderLiterature[4]isgivenasingle-ratesamplingofhigh-precisioncontrolsystemsimulation.Insingle-ratesampled-datasystemsexistinonlyasinglesamplingperiod,thusonlytheapplicationofthesimulationprocessofsomeofthemoresophisticatedtheory,suchasthecontinuoustransferfunctionofasingleratediscrete.Dual-ratesampled-datasystems,becauseoftheexistenceoftwotypesofsamplingperiod,andthecontrollertoovariablecontroller,thusincreasingthedifficultyofthesimulation.

Inthispaper,discretetechnologicalupgrading,thesystemintwodifferentsamplingperiodorganicallylinkedtothecontrollerintoatime-varyingtime-invariantcontroller.Atthesametime,theuseofrapidsamplingandrapidoperatortomaintain,giventhedual-ratesamplingcontrolsystemsimulationmethod.PriorknowledgeFigure1samplersamplingperiodT1=ph,samplingoperatorS:y(k)=Syc(t)=yc(kph),holderofthesamplingperiodT2=qh,maintainoperatorH:uc(kqh+r)=Hu(k),0<r<qh.One:pandqforcoprimepositiveinteger,hasthebasicsamplinginterval.Lsetupfortheleastcommonmultipleofpandq,thenT=lhforT1andT2timesofthesmallestcycleofthepublic.Sop1=l/p,q1=l/q,whileT=lh=p1ph=q1qhsetup.

Gforthegeneralizedplant,thestate-spacerealizationforKdiscretecontrollerfordual-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.3SimulationAlgorithmSimulationoftheexpressionKisaknowntheorem(p,q)-cycleofdiscretecontrollers,operatorandmaintenanceofsamplingoperatorasmentionedabove,theHKSfortheT-cyclefortime-varyingsystems.SeeFigure1toprovetherelationshipbetweenthesignal,thereareestablishedunderthestylewecanseefromthedefinition2,HKSfortheT-cyclefortime-varyingsystems.HKSisacycleasaresultofT,sothecasewiththesinglerateissimilartoFigure1intherelationshipbetweeninputandoutputsystemscanbeexpressedasOrDual-ratesamplingcontrolsysteminputandoutputchannels,byaddingavirtualsamplerandmaintainfast,andasshowninFigure1,thevirtualfastsamplerandholderofthesamplingperiodT/n.WdisthewtoT/nforthesamplingperiodofthesamplingsignal,whentheinputsignalmphtimeforthesimulation,thereWd=w(kT/n),k=0,1,...,mn/p1zdandtherelationshipbetweenzIbid.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.SimulationofthecalculationofexpressionExpressionofdesire(4),firstobtainedG11n,G12n,G21n,SnH,SHn,(I-KSG22H)-1K,etc.value.WhichG11n,G12n,G21ncontinuoustransferfunctionofG11,G12,G21single-cycleT/nofthediscretizationareeasytocalculate.DiscussedbelowSnH,SHn,(I-KSG22H)-1Kcalculations.(1)SnHcalculationFigure2ExpressiongforInputandOutputofSHnFigure2ofthecycleinHnforT/n=lh/n,Sthecycleph,whilex2(0)=x1(0),x2(1)=x1(n/p1),...,x2(m-1)=x1((m-1)n/p1),ItisSHn=(2)SnHcalculationSimilarlyavailableexpressionSnH(3)(I-KSG22H)-1KcalculationBydiscretesamplingandthediscreteoperatortomaintainthedefinitionofoperator,thereareΨ(k)=Φ(kp)Sp2l→l,Ψ=SpΦυ(kq+r)=Φ(k)Hq2l→lυ=HqΦR=0,1,...,q-1SG22H=SrSAG22HhHq=SpG22dHq(5)G22dwhichcanbeseparatedbyasinglerateprocesshbeen.For(I-KSpG22dHq)-1KisstillthecycleofchangeSpG22dHqandK,thispaperdiscreteoperatortoupgradetoturnitintotime-invariantsystems,thespecificprocessasshowninFigure3.Simulationofexpressionatthistime(4)canbeexpressedasFigure4.Enhancedbythediscrete,periodictime-varyinglinkSpG22dHqandKintothetime-invariantLp1SpG22dHqL-1q1andLq1KL-1q1,calculatedasfollows:Lq1KL-1q1calculationIfthedual-ratecontrollerofthestateequationforKWhileLq1KL-1q1stateequationcanbeexpressedasAmongwhichFigure3(I-KSG22H)-1KtoupgradethediscretesignalFigure4(4)simulationindicate,Lp1SpG22dHqL-1q1calculationLemma1forPforthestatevariablesx,thestatemodelfor[A,B,C,D],m,nandsmeetthefollowingrelationshipispositiveinteger.Thesystemstatevariablesforthediscretesamplingoperatorcanbeexpressedasastatemodel.WhichAmongwhichCharacteristicsfunctionXTake,ConclusionsfromtheAppeal,G22dobtainedfromLp1SpG22dHqL-1q1ofthestatespacemodel.Integratedonthesystem,wecanseeinFigure4forthesimulationprocess:mphinputsignalperiod,thenSimulationexampleFigure1forthegeneralizedplantGAndcontrollerKisSamplingperiodT1=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.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，大多数的控制系统是继续的由计算机实现的采样控制系统控制器实现的。随着对系统要求的不断提高，单速率的采样控制系统变得不能满足应用的要求，因此其地位被混合采样速率的采样控制系统所替代。混合采样速率控制系统在实际应用中能够满足于很广泛的应用场合，这是因为：1）在复杂的多变量控制系统中，要求所有的物理量在被采样的时候都具备相同的采样速率是不现实的事情。2）在对信号进行采样的工程中，采样的频率越高，系统对信号的复现性能就越好，但是快速的A/D和D/A转换器意味着更高的花费。因此，对于不同的信号带宽，，你应该使用不同速率的A/D及D/A转换器，进而是的系统的功能达到一个较高的水平的同时，又不致使系统的花费太大。3）多速率控制器一般而言是采样时间可变的控制器，这是但速率采样控制器不能与之相较的优点。如增加系统增益裕度，则就要保持系统的稳定性从而保证系统离散控制功能的实现。双速率采样控制系统是一个相对简单的多速率采样控制系统，其系统的框图如图1所示。控制系统仿真被定义为：对于一个给定的输入W，对系统的输出信号Z进行模拟的过程。图1带虚拟采样器和保持器的双速率采样控制系统文献[4]中给出了一个高精度的单速率采样控制系统仿真的样本。在单速率采样控制系统中仅存在一种采样周期，这样因而其仿真过程只需应用一些较成熟的理论。例如单速率连续传递函数的离散化。对于双速率采样控制系统而言，由于系统中存在两种不同的采样周期，并且控制器为时变控制器，这样就增加了仿真的难度。本文采用离散提升技术，将系统中两种不同的采样周期有机地联系起来，把时变控制器变为时不变控制器。同时采用快速采样算子和快速保持算子，给出了双速率采样控制系统的仿真方法2.知识背景图1采样器的采样周期T1=ph，采样控制器S：y(k)=Syc(t)=yc(kph)，保持器的采样周期T2=qh，保持器算子：uc=(kqh+r)=Hu(k),0<r<qh。其中:p和q为互质正整数，h为基本采样时间间隔。设l为p和q的最小公倍数，则T=lh为T1和T2的最小公倍周期。令p1=l/p,q1=l/q，则有T=lh=p1ph=q1qh成立。G是广义被控对象，其状态空间模型为：K是双速率离散控制器应该被适当调整去满足相应的因果性、周期性和有限维性。对于任意的T>0，Dr为连续空间上的延迟算子，Druc(t)=uc(tT);U为离散空间上的一步滞后算子；U2为离散空间上的一步超前算子。定义1如果（U2）q1KUp1=K成立，则称K为（p,q）-周期离散控制器。定义2如果连续系统G满足DrG=GDr，则称G为T-周期连续时变系统。3.仿真算法3.1仿真表达式K是一个已知的定义（p,q）-周期的离散控制器，采样算子和保持算子如上所述，则HKS以T为周期的时变系统。如图1即可证明信号之间的关系，在已知既定的条件下下式成立：我们可以由定义2看到，HKS为T周期的时变系统。由于HKS的周期是T，因此同单速率系统类似，图1中输出与输入的关系可以表示为：或者是在双速率采样控制系统输出与输入通道中，通过增加一个可见的采样器且保持快速，像在图1中显示的一样，这个可见快速采样器及保持器的采样周期均为T/n。Wd是w以T/n为采样周期的采样信号，当输入信号的仿真时间为mph时，有：Wd=w(kT/n)，k=0,1,…,mn/p1zd与z的关系同上。显然，当n→∞时，wd=w，zd=z。为使离散时间序列的个数为正整数，n选为l的整数倍。研究图1所示系统的仿真，便可得到虚框中双速率采样控制系统连续输入输出信号的仿真结果。图1中的zd=Snz,w=Hnwd，故由式（2）得其中G11n,G12n,G21n为对应于周期T/n的离散化。式(4)即为双速率采样控制系统的仿真表达式。3.2仿真表达式的计算欲求表达式（4），首先要得到G11n，G12n,，G21n,，SnH,，SHn，以及(I-KSG22H)-1K等等变量，G11n,G12n,G21n分别是连续传递函数G11,G12,G21以T为采样周期采样后的离散传递函数，均以计算。下面讨论SnH,SHn,(I-KSG22H)-1K的计算。计算SnH图2SHn的输入与输出框图图2中Hn的周期为T/n=lh/n，S的周期为ph，当x2(0)=x1(0),x2(1)=x1(n/p1),...,x2(m-1)=x1((m-1)n/p1)，