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1、Fuzzyobserver-basedadaptivecontrolforaclassofnonlinearsystemswithunknowntimedelaysHassanA.YouseflandMohamedHamdl1DepartmentofElectricalandComputerEngineering,CollegeofEngineering,SultanQaboosUniversity,Muscat,SultanateofOman.{E-mail:hyousef@squ.edu.om}2DepartmentofIndustri
2、alElectronicsandControlEngineering,FacultyofElectronicEngineering,MenofiaUniversity,Menof-32952,Egypt.{E-mail:mhamdy72@menofia.edu.eg}.Abstract-Anobserver-basedadaptivefuzzycontrolispresentedmakesthelearningtimeunacceptablylarge.Adaptivefuzzyforaclassofnonlinearsystemswith
3、unknowntimedelays.Statecontrolapproacheshavebeendevelopedin[14]-[17]foraobserverisfirstdesigned,andthenbasedontheobservedstatesclassofnonlineartimedelaysystemstodealwiththethecontrollerisdesignedviaadaptivefuzzycontrolmethod.drawbacksofadaptiveneuralcontrollers.In[14],anov
4、elBoththedesignedobserverandcontrollerareindependentofsystematicdesignprocedureisdevelopedforthesynthesisofthetimedelays.UsinganappropriateLyapunov-Krasovskiiastableadaptivefuzzycontrollerforaclassofnonlineartimefunctional,uncertaintyoftheunknowntimedelayisdelaysystems.The
5、Lyapunov-Krasovskiifunctionaliscompensatedfor,andthenthefuzzylogicsysteminMamdaniconstructedtocompensatefortheunknowndelayedstatetypeisutilizedtoapproximatetheunknownnonlinearfunctions.BasedonLyapunovstabilitytheory,theconstructeduncertamtles.Fuzzylogicsystemsareemployedto
6、observer-basedcontrollerandtheclosed-loopsystemisprovedapproximatetheunknownnonlinearfunctions,andthen,thetobeasymptoticallystable.Thedesignedcontrollawisadaptivelawofadjustableparametersisobtained.Thisworkindependentofthetimedelaysandhasasimpleformwithonlyisextendedtodesi
7、gnaMamdanifuzzyadaptivecontrolforaoneadaptiveparametervector,whichisrequiredtobeupdatedclassofstrict-feedbackSISOnonlinearsystemswithouton-line.Simulationresultsarepresentedtodemonstratethebackstepping[16-17].effectivenessoftheproposedapproach.Ontheotherhand,theproblemofob
8、serverdesignforreconstructingstatevariablesisamoreinvolvedissueinI.INTRODUCTIONsystemswit
