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.
简介:摘要混凝土框架剪力墙结构的性能,使它收到了这个行业的广泛欢迎,特别是在我国高层建筑中应用广泛。经济社会的发展使得人口数量越来越多,高层建筑的数量要求也不断增多,但是近年来城市化的不断发展使得人口规模不断扩张,城市用地越来越紧张,因为土地资源有限,所以只能发展高层建筑节约地面空间,高层建筑能够有效的解决土地资源稀缺和人们住宿的问题,因而受到了广泛的关注,而混凝土框架结构作为高层建筑的重要支持,能够为高层建筑的安全性和稳定性作出重要的贡献。鉴于此,笔者根据自己的工作经验分析了混凝土框架剪力墙结构的抗侧刚度优化措施,希望能为同行提供一定的参考。