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大连理工大学学报 2010
Stabilityanalysisofmulti-timedelaysystemswithcontrollerfailuresbasedonaswitchingapproachDOI: 10.7511/dllgxb201005030, PP. 794-800 Keywords: robustlyexponentialstability,controllerfailures,averagedwelltime,switchedsystems,linearmatrixinequalities(LMIs),multipletime-varyingdelays Abstract: Theissueofrobustlyexponentialstabilityforaclassofuncertainmultipletime-varyingdelaysystemswithcontrollerfailuresandnonlinearperturbationsisconsidered.Aswitcheduncertainmulti-delaysystemmodelisutilizedtodescribetheconsideredsystems.Aswitchingapproachbasedontheaveragedwelltimeisemployedfortheswitchedsystem.Adelay-dependentsufficientconditionforrobustlyexponentialstabilityoftheswitchedsystemisestablishedintermsoflinearmatrixinequalitiesbyusingtheswitchingmethod.Itisprovedtheoreticallythattheresultingclosed-loopsystemisrobustlyexponentiallystableevenifcontrollerfailuresareencountered.Theeffectivenessoftheproposedmethodisalsodemonstratedbysimulationexample.
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