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1、506IEEETRANSACTIONSONAUTOMATICCONTROL,VOL.57,NO.2,FEBRUARY2012ResetAdaptiveObserverforaClassofNonlinearSystemsresetcontrolsystemscanbefoundin[12].There,theauthorsmodifiedtheresetconditioninsuchamannerthatthesystemisresetwhenitsD.Paesa,C.Franco,S.Llorente,G.Lop
2、ez-Nicolas,andC.Saguesinputandoutputhavedifferentsign,ratherthanaslongasitsinputisequaltozero.Thisisthemaindifferenceof[12],comparedwithotherrelevanttimeindependentresetcontrolworks[13],[14].Abstract—ThistechnicalnoteproposesanovelkindofstateestimatorAlthough
3、theresearchonresetelementsisstillanopenandchal-calledresetadaptiveobserver(ReO).AReOisanadaptiveobservercon-lengingtopic,thisresearchhasbeenmainlyfocusedoncontrolis-sistingofanintegratorandaresetlawthatresetstheoutputoftheinte-sues.Thefirstapplicationoftherese
4、telementstotheadaptiveobservergratordependingonapredefinedcondition.Themaincontributionofthisframeworkis[15].There,theauthorsproposedanewsortofadaptivetechnicalnoteisthattheresetelementtheoryisappliedforthefirsttimetoobservercalledresetadaptiveobserver(ReO).ARe
5、Oisanadaptivethenonlinearadaptiveobserverframework.Theintroductionoftheresetobserverwhoseintegraltermhasbeensubstitutedforaresetelement.elementintheadaptivelawcandecreasetheovershootingandsettlingtimeoftheestimationprocesswithoutsacrificingtherisingtime.Thesta
6、bilityTheresetconditionoftheReOisbasedontheapproachproposedbyandconvergenceLMI-basedanalysisoftheproposedReOisaddressedand,[12].Sincetheintegraltermisresetaslongastheoutputestimationadditionally,aneasilycomputablemethodtodeterminethegainoftheerrorandtheintegr
7、atedestimationerrorhaveoppositesign,theresetReOdealingwithnoise-corruptedsystemsispresented.timeintervalsareunknownapriori.Theintroductionoftheresetele-IndexTerms—Estimation,hybridsystems,outputfeedbackandob-mentintheadaptivelawscanimprovetheperformanceoftheo
8、bserver,servers,resetcontrol.asitispossibletodecreasetheovershootandsettlingtimeoftheesti-mationprocesssimultaneously.Thistechnicalnoteextendsthepreviousversion[15],whichnowI.INTRODUCTION
