外文翻譯-雙速率數(shù)據(jù)采樣系統(tǒng)的仿真大學(xué)論文

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.雙速率數(shù)據(jù)采樣系統(tǒng)的仿真摘要：雙速率系統(tǒng)的仿真問題是采用離散提升技術(shù)、快速采樣算子和快速保持算子來研究的。該模型實(shí)現(xiàn)的結(jié)果與連續(xù)信號(hào)非常相近。最后給出具體地仿真步驟，并結(jié)合實(shí)例在MATLAB環(huán)境下編程實(shí)現(xiàn)。關(guān)鍵詞：雙速率數(shù)據(jù)采樣系統(tǒng)，離散提升技術(shù)，快速采樣算子，快速保持算子1.簡(jiǎn)介采樣控制系統(tǒng)是指連續(xù)和數(shù)字系統(tǒng)的對(duì)象控制器。目前，大多數(shù)的控制系統(tǒng)是繼續(xù)的由計(jì)算機(jī)實(shí)現(xiàn)的采樣控制系統(tǒng)控制器實(shí)現(xiàn)的。隨著對(duì)系統(tǒng)要求的不斷提高，單速率的采樣控制系統(tǒng)變得不能滿足應(yīng)用的要求，因此其地位被混合采樣速率的采樣控制系統(tǒng)所替代。混合采樣速率控制系統(tǒng)在實(shí)際應(yīng)用中能夠滿足于很廣泛的應(yīng)用場(chǎng)合，這是因?yàn)椋?）在復(fù)雜的多變量控制系統(tǒng)中，要求所有的物理量在被采樣的時(shí)候都具備相同的采樣速率是不現(xiàn)實(shí)的事情。2）在對(duì)信號(hào)進(jìn)行采樣的工程中，采樣的頻率越高，系統(tǒng)對(duì)信號(hào)的復(fù)現(xiàn)性能就越好，但是快速的A/D和D/A轉(zhuǎn)換器意味著更高的花費(fèi)。因此，對(duì)于不同的信號(hào)帶寬，，你應(yīng)該使用不同速率的A/D及D/A轉(zhuǎn)換器，進(jìn)而是的系統(tǒng)的功能達(dá)到一個(gè)較高的水平的同時(shí)，又不致使系統(tǒng)的花費(fèi)太大。3）多速率控制器一般而言是采樣時(shí)間可變的控制器，這是但速率采樣控制器不能與之相較的優(yōu)點(diǎn)。如增加系統(tǒng)增益裕度，則就要保持系統(tǒng)的穩(wěn)定性從而保證系統(tǒng)離散控制功能的實(shí)現(xiàn)。雙速率采樣控制系統(tǒng)是一個(gè)相對(duì)簡(jiǎn)單的多速率采樣控制系統(tǒng)，其系統(tǒng)的框圖如圖1所示。控制系統(tǒng)仿真被定義為：對(duì)于一個(gè)給定的輸入W，對(duì)系統(tǒng)的輸出信號(hào)Z進(jìn)行模擬的過程。圖1帶虛擬采樣器和保持器的雙速率采樣控制系統(tǒng)文獻(xiàn)[4]中給出了一個(gè)高精度的單速率采樣控制系統(tǒng)仿真的樣本。在單速率采樣控制系統(tǒng)中僅存在一種采樣周期，這樣因而其仿真過程只需應(yīng)用一些較成熟的理論。例如單速率連續(xù)傳遞函數(shù)的離散化。對(duì)于雙速率采樣控制系統(tǒng)而言，由于系統(tǒng)中存在兩種不同的采樣周期，并且控制器為時(shí)變控制器，這樣就增加了仿真的難度。本文采用離散提升技術(shù)，將系統(tǒng)中兩種不同的采樣周期有機(jī)地聯(lián)系起來，把時(shí)變控制器變?yōu)闀r(shí)不變控制器。同時(shí)采用快速采樣算子和快速保持算子，給出了雙速率采樣控制系統(tǒng)的仿真方法2.知識(shí)背景圖1采樣器的采樣周期T1=ph，采樣控制器S：y(k)=Syc(t)=yc(kph)，保持器的采樣周期T2=qh，保持器算子：uc=(kqh+r)=Hu(k),0<r<qh。其中:p和q為互質(zhì)正整數(shù)，h為基本采樣時(shí)間間隔。設(shè)l為p和q的最小公倍數(shù)，則T=lh為T1和T2的最小公倍周期。令p1=l/p,q1=l/q，則有T=lh=p1ph=q1qh成立。G是廣義被控對(duì)象，其狀態(tài)空間模型為：K是雙速率離散控制器應(yīng)該被適當(dāng)調(diào)整去滿足相應(yīng)的因果性、周期性和有限維性。對(duì)于任意的T>0，Dr為連續(xù)空間上的延遲算子，Druc(t)=uc(tT);U為離散空間上的一步滯后算子；U2為離散空間上的一步超前算子。定義1如果（U2）q1KUp1=K成立，則稱K為（p,q）-周期離散控制器。定義2如果連續(xù)系統(tǒng)G滿足DrG=GDr，則稱G為T-周期連續(xù)時(shí)變系統(tǒng)。3.仿真算法3.1仿真表達(dá)式K是一個(gè)已知的定義（p,q）-周期的離散控制器，采樣算子和保持算子如上所述，則HKS以T為周期的時(shí)變系統(tǒng)。如圖1即可證明信號(hào)之間的關(guān)系，在已知既定的條件下下式成立：我們可以由定義2看到，HKS為T周期的時(shí)變系統(tǒng)。由于HKS的周期是T，因此同單速率系統(tǒng)類似，圖1中輸出與輸入的關(guān)系可以表示為：或者是在雙速率采樣控制系統(tǒng)輸出與輸入通道中，通過增加一個(gè)可見的采樣器且保持快速，像在圖1中顯示的一樣，這個(gè)可見快速采樣器及保持器的采樣周期均為T/n。Wd是w以T/n為采樣周期的采樣信號(hào)，當(dāng)輸入信號(hào)的仿真時(shí)間為mph時(shí)，有：Wd=w(kT/n)，k=0,1,…,mn/p1zd與z的關(guān)系同上。顯然，當(dāng)n→∞時(shí)，wd=w，zd=z。為使離散時(shí)間序列的個(gè)數(shù)為正整數(shù)，n選為l的整數(shù)倍。研究圖1所示系統(tǒng)的仿真，便可得到虛框中雙速率采樣控制系統(tǒng)連續(xù)輸入輸出信號(hào)的仿真結(jié)果。圖1中的zd=Snz,w=Hnwd，故由式（2）得其中G11n,G12n,G21n為對(duì)應(yīng)于周期T/n的離散化。式(4)即為雙速率采樣控制系統(tǒng)的仿真表達(dá)式。3.2仿真表達(dá)式的計(jì)算欲求表達(dá)式（4），首先要得到G11n，G12n,，G21n,，SnH,，SHn，以及(I-KSG22H)-1K等等變量，G11n,G12n,G21n分別是連續(xù)傳遞函數(shù)G11,G12,G21以T為采樣周期采樣后的離散傳遞函數(shù)，均以計(jì)算。下面討論SnH,SHn,(I-KSG22H)-1K的計(jì)算。計(jì)算SnH圖2SHn的輸入與輸出框圖圖2中Hn的周期為T/n=lh/n，S的周期為ph，當(dāng)x2(0)=x1(0),x2(1)=x1(n/p1),...,x2(m-1)=x1((m-1)n/p1)，