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改进的多时滞Lurie控制系统时滞相关绝对稳定性分析(英文).docx

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改进的多时滞Lurie控制系统时滞相关绝对稳定性分析(英文) ImprovementofLurieControlSystemwithMultipleTimeDelaysandAnalysisofTime-Delay-RelatedAbsoluteStability Introduction: Time-delaysareacommonissuepresentincontrolsystemsthatcanleadtoinstabilityanddecreasedperformance.Luriecontrolsystemsareapopularcontrolmechanismthatareusedtoaddressthesechallengesbyreducingtheimpactoftimedelaysonthecontrolsystem.Inmanyreal-lifeapplications,thetimedelaysarenotconstantbutrathercanvary.ThispaperdiscussestheimprovementofLuriecontrolsystemswhenmultipletimedelaysarepresentandanalyzesthestabilityofthecontrolsysteminthepresenceofthesetimedelays. MultipleTimeDelays: TraditionalLuriecontrolsaredesignedforsystemswithasingletimedelay,however,inreality,manysystemscanhavemultipletimedelaysthatcanchangeovertime.Inordertotacklesuchsituations,weproposetodesignthecontrollerbasedonaweighted-averagefunction,wheretheweightsareadjustableparameters.Thisenablesustoaccommodateandhandlemultipletimedelaysinabetterway. ImprovingLurieControlSystems: ToimproveLuriecontrolsystemsandachieveincreasedstabilityinthepresenceofmultipletimedelays,weproposetwosolutions: 1.AdaptiveTuning:IntraditionalLuriecontrolsystems,thecontrolparametersandweightsarepre-determinedandfixed.However,inthecaseofmultipletimedelays,weproposeusingadaptivetuningtoadjustthecontrolsystem’sparametersinreal-time.Thisenablesthesystemtoadjustitsweightsandimprovethecontroller'sperformancebasedonthecurrenttimedelays. 2.RobustControl:Incaseswhereadaptivetuningmaynotbepracticalorefficient,weproposeusingrobustcontroltechniques.Therobustcontrollerisdesignedtohandlemultipletimedelaysandachievestabilitybyoptimizingthesystem'sperformanceintheworst-casescenarios. Time-Delay-RelatedAbsoluteStability(TDAS)Analysis: Inordertoensurethestabilityofthesystem,weperformTDASanalysis.TDASanalysisisatechniquecommonlyusedtoanalyzeandpredictthestabilityofcontrolsystemsinthepresenceoftimedelays.TheTDASmethodinvolvescalculatingthestabilitymargin,whichisameasureofhowsensitivethesystemistovariationsi