简介:ThispaperdealswiththeproblemoftheabsolutestabilityforgeneralneutraltypeLurieindirectcontrolsystemsbyLyapunovmethodandlinearmatrixinequality(LMI)technique.Delay-dependentsufficientconditionsfortheabsolutestabilityarederivedandexpressedasthefeasibilityproblemofLMI,whichcanbeeasilysolvedbyMatlabToolbox.Finally,someexamplesareprovidetodemonstratetheeffectivenessofproposedmethod.
简介:Somenewlinearmatrixinequality(LMI)representationsfordeley-independentanddelay-dependentstabilityconditionsareobtainedbyintroducingadditionalmatricesandeliminatingtheproductcouplingofthesystemmatricesandtheLyapunovmatrices.Theresultsimproveconservativenessofthegivenconditionsfortheanalysisandthedesignoftime-delaysystemswithpolytopic-typeuncertainty.
简介:TheproblemofcheckingrobustD-stabilityofmulti-inandmulti-out(MIMO)systemswasstudied.Threesystemmodelswereintroduced,i.e.multilinearpolynomialmatrix,polytopicpolynomialmatrixandfeedbacksystemmodel.Furthermore,theconvexpropertyofeachmodelwithrespecttotheparametricuncertaintieswasestablishedrespectively.Basedonthis,sufficientconditionsforD-stabilitywereexpressedintermsoflinearmatrixinequalities(LMIs)involvingonlytheconvexvertices.Therefore,therobustD-stabilitywastestedbysolvinganLMIoptimalproblem.
简介:Thispaperaddressesthedesignproblemofrobustiterativelearningcontrollersforaclassoflineardiscrete-timesystemswithnorm-boundedparameteruncertainties.Aniterativelearningalgorithmwithcurrentcyclefeedbackisproposedtoachievebothrobustconvergenceandrobuststability.Thesynthesisproblemoftheproposediterativelearningcontrol(ILC)systemisreformulatedasaγ-suboptimalH-infinitycontrolproblemviathelinearfractionaltransformation(LFT).AsufficientconditionfortheconvergenceoftheILCalgorithmispresentedintermsoflinearmatrixinequalities(LMIs).Furthermore,thelineartransferoperatorsoftheILCalgorithmwithhighconvergencespeedareobtainedbyusingexistingconvexoptimizationtechniques.Thesimulationresultsdemonstratetheeffectivenessoftheproposedmethod.
简介:Themaincontributionofthispaperistopresentstabilitysynthesisresultsfordiscrete-timepiecewiseaffine(PWA)systemswithpolytopictime-varyinguncertaintiesandfordiscrete-timePWAsystemswithnorm-boundeduncertaintiesrespectively.Thebasicideaoftheproposedapproachesistoconstructpiecewise-quadratic(PWQ)Lyapunovfunctionstoguaranteethestabilityoftheclosed-loopsystems.ThepartitioninformationofthePWAsystemsistakenintoaccountandeachpolytopicoperatingregionisouterapproximatedbyanellipsoid,thensufficientconditionsfortherobuststabilizationarederivedandexpressedasasetoflinearmatrixinequalities(LMIs).Twoexamplesaregiventoillustratetheproposedtheoreticalresults.
简介:Anewdesignschemeofstableadaptivefuzzycontrolforaclassofnonlinearsystemsisproposedinthispaper.TheT-Sfuzzymodelisemployedtorepresentthesystems.First,theconceptoftheso-calledparalleldistributedcompensation(PDC)andlinearmatrixinequality(LMI)approachareemployedtodesignthestatefeedbackcontrollerwithoutconsideringtheerrorcausedbyfuzzymodeling.SufficientconditionswithrespecttodecayrateαarederivedinthesenseofLyapunovasymptoticstability.Finally,theerrorcausedbyfuzzymodelingisconsideredandtheinput-to-statestable(ISS)methodisusedtodesigntheadaptivecompensationtermtoreducetheeffectofthemodelingerror.Bythesmall-gaintheorem,theresultingclosed-loopsystemisprovedtobeinput-to-statestable.Theoreticalanalysisverifiesthatthestateconvergestozeroandallsignalsoftheclosed-loopsystemsarebounded.TheeffectivenessoftheproposedcontrollerdesignmethodologyisdemonstratedthroughnumericalsimulationonthechaoticHenonsystem.
简介:针对带有两级串联式ISD半主动悬架的二自由度模型,选取加权函数阵整定两级串联式ISD半主动悬架系统的性能指标,应用LMIH。控制算法设计出两级串联式ISD半主动悬架H∞输出反馈控制器,该方法能够有效地解决系统的鲁棒干扰抑制问题.仿真结果表明,与传统半主动悬架、两级串联式ISD被动悬架以及传统被动悬架相比,所设计两级串联式ISD半主动悬架能够有效改善汽车的乘坐舒适性和行驶安全性.