简介:Inthispaper,LyapunovfunctionmethodisusedtostudytherobustabsolutestabilityofgeneralintervalLur'etypenonlinearcontrolsystems.Asaresult,algebraicallysufficientconditionswithintervalmatrixinequalityformareobtainedforthegeneralintervalLur'etypenonlinearcontrolsystems,thustherelationshipbetweenthestabilityofsymmetricalintervalmatrixandtherobustabsolutestabilityofgeneralintervalLur'etypenonlinearcontrolsystemsisestablished.
简介:Thehighpowerholeyfiberisanefficientsupercontinuumlightsourcebyusingpicosecondpulse,whichisalessexpensivelasersourcecomparedwithlowpowerandexpensivefemtosecondlasersources.Inthispaper,ahighpowerhighlynonlinearholeyfiber(HN-HF)withalowconfinementlossisproposedforsupercontinuumlightsources.ThefinitedifferencemethodisusedtocalculatethedifferentpropertiesoftheproposedHN-HF.Highnonlinearcoefficientsareobtainedat1.06μm,1.31μm,and1.55μmwavelengthswithflattenedchromaticdispersionandlowconfinementlossessimultaneously.Moreover,numericalsimulationresultsshowthathighpowerbroadsupercontinuumspectrawithveryshortlengthoftheproposedphotoniccrystalfiberareachieved.
简介:Performancerobustnessproblemsviathestatefeedbackcontrollerareinvestigatedforaclassofuncertainnonlinearsystemswithtime-delayinbothstateandcontrol,inwhichtheneuralnetworksareusedtomodelthenonlinearities.Byusinganappropriateuncertaintydescriptionandthelineardifferenceinclusiontechnique,sufficientconditionsforexistenceofsuchcontrollerarederivedbasedonthelinearmatrixinequalities(LMIs).UsingsolutionsofLMIs,astatefeedbackcontrollawisproposedtostabilizetheperturbedsystemandguaranteeanupperboundofsystemperformance,whichisapplicabletoarbitrarytime-delays.
简介:Theanalyticalexpressionofbiterrorprobabilityinabalanceddifferentialphase-shiftkeying(DPSK)opticalreceiverconsideringnonlinearphasenoiseandEDFAASEnoiseisgiven,whichisveryusefultoestimatetheperformanceofDPSKbalancedandunbalancedreceiverinopticalcommunicationsystem.Throughanalysis,ifonlynonlinearphasenoiseisconsidered,boththebalanceandunbalancedreceivershavethesameperformances.ButifaddingtheASEnoiseofEDFA,thebalancedreceiverisbetter.
简介:Themechanismofanon-polarizingbeamsplitter(NPBS)withasymmetricaltransfercoefficientscausingtherotationofpolarizationdirectionisexplainedinprinciple,andthemeasurementnonlinearerrorcausedbyNPBSisanalyzedbasedonJonesmatrixtheory.Theoreticalcalculationsshowthatthenonlinearerrorchangesperiodically,andtheerrorperiodandpeakvaluesincreasewiththedeviationbetweentransmissivitiesofp-polarizationands-polarizationstates.Whenthetransmissivityofp-polarizationis53%andthatofs-polarizationis48%,themaximumerrorreaches2.7nm.TheimperfectionofNPBSisoneofthemainerrorsourcesinsimultaneousphase-shiftingpolarizationinterferometer,anditsinfluencecannotbeneglectedinthenanoscaleultra-precisionmeasurement.
简介:Ahybridsystemofthefuzzyc-means(FCM)clusteringalgorithmandadaptive-two-stagelinearapproximationwaspresentedfornonlineardistortioncancellationofradiofrequency(RF)poweramplifier(PA).Thismechanismcaneffectivelyeliminatenoise,adaptivelymodelPA’sinstantaneouschange,andefficientlycorrectnonlineardistortion.ThisarticleputsforwardtheFCMclusteringalgorithmforclusteringreceivedsignalstoeliminatewhitenoise,andthenusestheadaptive-two-stagelinearapproximationtofittheinversefunctionoftheamplitude’sandphase’snonlinearmappingduringthetrainingphase.Parametersofthelinearfunctionandsimilarityfunctionaretrainedusingthegradient-descentandminimummean-squareerrorcriteria.Theproposedapproach’strainingresultsisdirectlyemployedtoeliminatesamplingsignal’snonlineardistortion.Thishybridmethodisrealizedeasierthanthemulti-segmentlinearapproximationandcouldreducethereceivedsignal’sbiterrorrate(BER)moreefficiently.
简介:Theevolutionoftheelectronphaseorbitsbasedonthemulti-photonnonlinearComptonscatteringwiththehighpowerlaser-plasmaisdiscussedbyusingKroll-Morton-Rosenbluththeory.Therandomevolutionoftheun-capturedelectronphaseorbitsfromperiodicitytonon-periodicityisfoundaftertheenergyhasbeenexchangedbetweentheelectronandphotons.Withtheincreaseoftheabsorbedphotonnumbernbyanelectron,thisevolutionwillbemoreandmoreintense,whilewhichisrapidlydecreasedwiththeenhancementofthecollisionnon-flexibilityξandtheirinitialspeedsoftheelectronsandphotons,butthisevolutionislowerthanthatinthehighpowerlaserfield.Whentheelectronsarecapturedbythelaserfield,theevolutionisfinished,andtheelectronswillstablytransport,andthephotonsdon'tprovidetheenergyfortheseelectronsanymore.
简介:Theproblemofadaptivefuzzycontrolforaclassoflarge-scale,time-delayedsystemswithunknownnonlineardead-zoneisdiscussedhere.Basedontheprincipleofvariablestructurecontrol,adesignschemeofadaptive,decentralized,variablestructurecontrolisproposed.Theapproachremovestheconditionsthatthedead-zoneslopesandboundariesareequalandsymmetric,respectively.Inaddition,itdoesnotrequirethattheassumptionsthatallparametersofthenonlineardead-zonemodelandthelumpeduncertaintyareknownconstants.Theadaptivecompensationtermsoftheapproximationerrorsareadoptedtominimizetheinfluenceofmodelingerrorsandparameterestimationerrors.Bytheoreticalanalysis,theclosed-loopcontrolsystemisprovedtobesemi-globallyuniformlyultimatelybounded,withtrackingerrorsconvergingtozero.Simulationresultsdemonstratetheeffectivenessoftheapproach.
简介:Tosolvetheflightsafetyproblemcausedbynonlinearinstabilities(categoryIIpilotinducedoscillations,PIOs)oftheclosed-looppilot-vehiclesystemwithrate-limitingactuator,theantiwindup(AW)compensationmethodtoavoidcategoryIIPIOsisinvestigated.Firstly,theAWcompensationmethodoriginallyusedforcontrollinginputmagnitudelimitedsystemisintroduced,thenthismethodisextendedforcontrollinginputrate-limitingsystemthroughacirclecriteriontheorem.Secondly,theestablishmentoftheAWcompensatoristransformedintothesolvingoflinearmatrixinequalities.Finally,anAWcompensatorestablishmentalgorithmfortheclosed-looppilot-vehiclesystemwiththerate-limitingactuatorisobtained.TheeffectivenessoftheAWcompensationmethodtoavoidcategoryIIPIOsisvalidatedbytime-domainsimulations,andcomparedwithrate-limitedfeedback(RLF)commandratecompensationmethod.TheresultsshowthattheAWcompensationmethodcaneffectivelysuppresscategoryIIPIOsandmaintainthenominalperformancewhentheclosed-looppilot-vehiclesystemisnormal.Unlikethecommandratecompensatorwhichworksuponsystemuninterruptedly,theAWcompensationmethodaffectstheclosed-looppilot-vehiclesystemonlywhentherate-limitingofactuatorisactivated,soitisanovelPIOavoidancemethod.
简介::Twonovelpoly[(3-alkyhhiophene-2,5-diyl)-(benzylidenequinomethane-2,5-diyl)s]derivatives,poly[(3-butylthiophene-2,5-diyl)-(p-N,N-dimethylamino)benzylidenequinomethane-2,5-diyl)](PBTDMABQ)andpoly[-(3-octylthiophene2,5-diyl)-(p-N,N-dimethylamino)benzylidenequinomethane-2,5-diyl)](POTDMABQ),weresynthesized.Thebandgapsofthetwopolymersarecalculatedas1.75eVforPBTDMABQand1.69eVforPOTDMABQ,respectively.Thehomogenousfilmsofthetwopolymerswerepreparedandtheirthird-ordernonlinearopticalpropertieswerestudiedbythebackwarddegeneratefour-wavemixingat532nm.Byusingtherelativemeasurementtechnique,thethird-ordernonlinearopticalsusceptibilitiesofPBTDMABQandPOTDMABQarecalculatedas5.62×10^-9and1.22×10^-8ESU,respectively.Itisfoundthatsubstitutedalkygroupshavestrongeffectsonthebandgapandnonlinearopticalpropertiesofthetwopolymers.Therelativelybigthird-ordernonlinearopticalsusceptibilitiesandsmallbandgapofPOTDMABQresultedmainlyfromthelongeralkylwithstrongelectron-donatingabilitycanenhancethedelocationdegreeofconjugatedπelectronics.