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1、Systems&ControlLetters59(2010)305312ContentslistsavailableatScienceDirectSystems&ControlLettersjournalhomepage:www.elsevier.com/locate/sysconleAnobserverforaclassofnonlinearsystemswithtimevaryingobservationdelayF.Cacacea,,A.Germanib,a,C.ManesbaUniversit
2、àCampusBio-MedicodiRoma,ViaÁlvarodelPortillo,21,00128Roma,ItalybDipartimentodiIngegneriaElettricaedell'Informazione,UniversitàdegliStudidell'Aquila,PoggiodiRoio,67040L'Aquila,ItalyarticleinfoabstractArticlehistory:Thispaperpresentsastateobserverfordriftob
3、servablenonlinearsystemswhenoutputmeasurementsReceived4June2009areaffectedbyaknownandboundedtimevaryingdelay.ThestructureoftheproposedobserverisveryReceivedinrevisedformsimpleanditisageneralizationofanexistingobserverforundelayedsystems.Theobserverexhibit
4、s8February2010goodperformanceinestimatingthesystemstatealsointhepresenceofsignificantmeasurementdelays.Accepted14March2010Thetechniqueusedtoprovetheasymptoticalconvergencetozerooftheobservationerror,basedontheAvailableonline18April2010LyapunovRazumikhina
5、pproach,doesnotrequireanyassumptionaboutthedependenceofthedelayonthetime.Keywords:'2010ElsevierB.V.Allrightsreserved.StateobserversNonlinearsystemsTimedelaysystems1.IntroductionRecently,forthecaseofnonlineardriftobservablesystemsanewkindofchainedobserverh
6、asbeenproposedin[13].TheideaTheestimateofthesystemstatebasedondelayedoutputmea-isthatwhenthetimedelayexceedsthethresholdforwhichasurementisanimportantprobleminmanyengineeringapplica-singleobservercanbeused,achainofobserverscanbeused.tions,forexamplewhenth
7、esystemiscontrolledormonitoredbyEachobserverinthechainisinchargeofpredictingthesystemaremotecontrollerthroughacommunicationsystem,orwhenthestateforafractionofthetotaldelay.Thestructureofthebasicmeasurementprocessintrinsicallycausesanon-negligibletimeobser
8、verhasbeenderivedfromtheobserverfornonlinearsystemsdelay,asforexample,inbiochemicalreactors.Forthisreasonthewithoutdelayproposedin[14,15].Thesameapproachhasbeenissueofstatereconstructioninthepresenceoftimedelaysinth
