预览加载中，请您耐心等待几秒...

线性分式不确定时变时滞奇异系统的鲁棒稳定性分析(英文).docx

预览
1/7
2/7
3/7
4/7
5/7
6/7
7/7

在线预览结束，喜欢就下载吧，查找使用更方便

下载提示 文本预览

如果您无法下载资料，请参考说明：

1、部分资料下载需要金币，请确保您的账户上有足够的金币

2、已购买过的文档，再次下载不重复扣费

3、资料包下载后请先用软件解压，在使用对应软件打开

线性分式不确定时变时滞奇异系统的鲁棒稳定性分析(英文) RobustStabilityAnalysisofUncertainTime-varyingandTime-delaySingularLinearFractionalSystems Abstract: Thispaperinvestigatestherobuststabilityanalysisofuncertaintime-varyingandtime-delaysingularlinearfractionalsystems.Singularlinearfractionalsystemshavebeenwidelyusedinvariousfields,suchascontroltheory,signalprocessing,andcommunicationengineering.However,uncertaintiesandtime-varyingcharacteristicsmayleadtosysteminstability,andtimedelaymaycauseoscillationoreveninstability.Therefore,robuststabilityanalysisofuncertaintime-varyingandtime-delaysingularlinearfractionalsystemsisofgreatsignificanceforpracticalapplications. Firstly,thebasicconceptsandpropertiesofsingularlinearfractionalsystemsareintroduced.Then,theuncertaintime-varyingandtime-delaysingularlinearfractionalsystemmodelisestablished.Thesystemuncertaintyischaracterizedbyapolytopicuncertainterm.Thetime-varyingandtime-delaytermsaremodeledbyalinearmatrixinequality(LMI)approachandadelay-dependentLMImethodrespectively.BasedontheLyapunovstabilitytheoremandtheLMItechnique,anLMI-basedstabilitycriterionisderived,whichcanguaranteetheasymptoticstabilityoftheuncertaintime-varyingandtime-delaysingularlinearfractionalsystem.Furthermore,therobuststabilityanalysisunderexternaldisturbanceisalsostudied,andadisturbanceattenuationlevelispresented. Finally,numericalsimulationsareconductedtoverifytheeffectivenessoftheproposedLMI-basedstabilitycriterion.Thesimulationresultsshowthattheuncertaintime-varyingandtime-delaysingularlinearfractionalsystemcanachieverobuststabilityundervariousparameteruncertaintiesandexternaldisturbances. Keywords:Singularlinearfractionalsystem,uncertainty,time-varying,time-delay,robuststability,LMI. Introduction: Singularlinearfractionalsystemsareaspecialclassoflinearfractionalsystems,whichhavebeenwidelyusedinmanyfieldsduetotheirgreatflexibilityandpowerfulmodelingability.Forinstance,singularlinearfractionalsystemshavebeenappliedtonetworkedcontrolsystems,distributedparametersystems,andli