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自动化学报 2005
一类非线性不确定连续系统的时滞独立型模糊双曲保成本控制, PP. 720-726 Keywords: Fuzzyhyperbolic,guaranteedcostcontrol,linearmatrixinequalities,timedelays,nonlinearsystem Abstract: ?Thispaperdevelopsdelay-independentfuzzyhyperbolicguaranteedcostcontrolfornon-linearcontinuous-timesystemswithparameteruncertainties.Fuzzyhyperbolicmodel(FHM)canbeusedtoestablishthemodelforcertainunknowncomplexsystem.ThemainadvantageofusingFHMoverTakagi-Sugeno(T-S)fuzzymodelisthatnopremisestructureidentificationisneededandnocompletenessdesignofpremisevariablesspaceisneeded.Inaddition,anFHMisnotonlyakindofvalidglobaldescriptionbutalsoakindofnonlinearmodelinnature.Anonlinearquadraticcostfunctionisdevelopedasaperformancemeasurementoftheclosed-loopfuzzysystembasedonFHM.Basedondelay-independentLyapunovfunctionalapproach,somesufficientconditionsfortheexistenceofsuchafuzzyhyperbolicguaranteedcostcontrollerviastatefeedbackareprovided.Theseconditionsaregivenintermsofthefeasibilityoflinearmatrixinequalities(LMIs).Asimulationexampleisprovidedtoillustratethedesignprocedureoftheproposedmethod.
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