简介:Basedonthenotionofmaximalabsoluteobservabilityanditsnormalforms,anewmethodforstudyingthelocalstabilizationforakindofnonlinearcontrolsystemsisestablished.DifferentfromthepreviousresultsgivenbyByrnes-Isitoriandothers,thisnewmethodcandealwithmoregeneralsystems,andhasmuchsimplerwaytoprovethestabilizationconditionsandtodesignthefeedbacklaws.
简介:Inthispaper,supposingthatthereceivedsignalsattheinputareoftheformv(t)=s1[t,x1(t)]s2[t,x2(t)]+n(t)wheresiareFMsignals(i=1,2),anovelcross-coupledphase-lockedloop(CCPLL(M))anditsmathematicalmodelareobtained.Theglobalqualitativestructuralanalysisofthemathematicalmodelofthefirst-orderloop,theacqui-sitionregionandsynchronizationregionofthefirst-orderloop,andthesynchronizationregionofthesecond-orderloopareobtained.
简介:Inthisnote,thedissipativecontrolproblemofthegeneralquadraticsupplyrateforstatedelayedsystemsisconsidered.Asystematicapproachisusedinthisworksothatasufficientconditionontheexistenceofadelay-independentstatefeedbackcontrollerisgiven.Inaddition,asufficientconditionontheexistenceofadelay-dependentstatefeedbackispresented.Oursolutionsareexpressedintermsofmatrixinequalitiesthatcanbesolvedbynumericalmethod.Thedelay-dependentcontrollermightbelessconservativethanthedelay-independentoneinthesensethatthedelay-dependentcasemayhaveasolutionforalargerclassofsystemsthanthatfordelay-independentcase.
简介:EllipticPDE-constrainedoptimalcontrolproblemswithL^1-controlcost(L^1-EOCP)areconsidered.TosolveL^1-EOCP,theprimal-dualactiveset(PDAS)method,whichisaspecialsemismoothNewton(SSN)method,usedtobeapriority.However,ingeneralsolvingNewtonequationsisexpensive.Motivatedbythesuccessofalternatingdirectionmethodofmultipliers(ADMM),weconsiderextendingtheADMMtoL^1-EOCP.TodiscretizeL^1-EOCP,thepiecewiselinearfiniteelement(FE)isconsidered.However,differentfromthefinitedimensionalL^1-norm,thediscretizedL^1-normdoesnothaveadecoupledform.Toovercomethisdifficulty,aneffectiveapproachisutilizingnodalquadratureformulastoapproximatelydiscretizetheL^1-normandL^2-norm.Itisprovedthattheseapproximationstepswillnotchangetheorderoferrorestimates.Tosolvethediscretizedproblem,aninexactheterogeneousADMM(ihADMM)isproposed.DifferentfromtheclassicalADMM,theihADMMadoptstwodifferentweightedinnerproductstodefinetheaugmentedLagrangianfunctionintwosubproblems,respectively.Benefitingfromsuchdifferentweightedtechniques,twosubproblemsofihADMMcanbeefficientlyimplemented.Furthermore,theoreticalresultsontheglobalconvergenceaswellastheiterationcomplexityresultso(1/k)forihADMMaregiven.Inordertoobtainmoreaccuratesolution,atwo-phasestrategyisalsopresented,inwhichtheprimal-dualactiveset(PDAS)methodisusedasapostprocessoroftheihADMM.Numericalresultsnotonlyconfirmerrorestimates,butalsoshowthattheihADMMandthetwo-phasestrategyarehighlyefficient.
简介:Controlinvariantsetsplayakeyroleinmodelpredictivecontrol.UsingLyapunovfunction,atechniqueisproposedtodesigncontrolinvariantsetsofplanarsystemsinapreciseform.First,itisdesignedforalinearsysteminBrunovskycanonicalform.Then,theresultisextendedtogenerallinearsystems.Finally,thenonlinearcontrolsystemsareconsidered,andsomesufficientconditionsanddesigntechniquesarealsoobtained.Numericalexamplesarepresentedtoillustratetheproposeddesignmethods.
简介:WeconsideroptimalbirthcontrolfortheMcKendrickequationofpopulationdyna-mics.Itconsistsofoptimizingasystemdescribedbyafirstorderpartialdifferentialequationwithnonlo-calbilinearboundarycontrol.ApproximateminimumprinciplesareobtainedusingEkeland’svariationalprinciple.
简介:Thispaperdiscussestheharmonicproblemsincontrolsystemsfromtwoaspects:Oneistheharmoniccontrolamongdifferentsubsystems,andtheotheristheharmoniccontrolamongmultipleinputs.Someintrinsicproblemsinsuchsystemsarediscussed.Itispointedoutthatsomesubsystemsmustbeunstabletostabilizethewholeinterconnectedsystembyanexample.Especiallyfordiscrete-timemulti-inputsystems,anecessaryandsufficientconditionispresentedforthestrictdecreaseofthequadraticoptimalperformanceindexwiththecontrolinputextensions.Thisshowsanessentialdifferencebetweensingle-inputandmulti-inputcontrolsystems.Finally,somefutureresearchdirectionsarediscussedinharmoniccontrolofinterconnectedsystems,allocationofmulti-controlinputs,fault-tolerantcontrol,andfault-diagnosis.
简介:FortheARMAXsystemwithunknowncoefficientstheoptimaladaptivecontrolisdesignedsothatthefollowingrequirementsaremetsimultaneously:1)thetransferfunctionfromareferencesignaltothesystemoutputintheclosedloopequalsaprescribedrationalfunction;2)undertheconstraintmentionedin1)aquadraticlossfunctionisminimized;3)theparameterestimateisstronglyconsistent.
简介:1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...
简介:Theauthorsanalyzeafinitehorizon,singleproduct,periodreviewmodelinwhichpricingandinventorydecisionsaremadesimultaneously.Demandsindifferentperiodsarerandomvariablesthatareindependentofeachotherandtheirdistributionsdependontheproductprice.Pricingandorderingdecisionsaremadeatthebeginningofeachperiodandallshortagearebacklogged.Orderingcostisaconvexfunctionoftheamountordered.Theobjectiveistofindaninventoryandpricingpolicymaximizingexpecteddiscountedprofitoverthefinitehorizon.Theauthorscharacterizethestructureoftheoptimalcombinedpricingandinventorystrategyforthismodel.Moreover,theauthorsdemonstratehowtheprofit-to-gofunction,orderuptolevel,reorderpointandoptimalpricechangewithrespecttostateandtime.
简介:Itiswellknownthatthetransientbehaviorsofthetraditionaladaptivecontrolmaybeverypooringeneral,andthattheadaptivecontroldesignedbasedinswitchingbetweenmultiplemodelsisanintuitivelyappealingandpracticallyfeasibleapproachtoimprovethetransientperformances.Inthispaper,weshallprovethatforatypicalclassoflinearsystemsdisturbedbyrandomnoises,themultiplemodelbasedleast-equares(LS)adaptiveswitchingcontrolisstatbleandconvergentandhasthesameconvergencerateasthatestablishedforthestandardleast-squares-basedself-tunningregulators.Moreover,themixedcasecombiningadativemodelswithfixedmodelsisalsoconsidered.
简介:DeGroot模型一个经典模型到意见的学习一致在里面一组个人(代理人)。一致能在一些情形下面被完成。但是什么时候这个组到达一致与一条会聚的意见珍视哪个不是我们期望什么,怎么罐头我们干涉系统和变化会聚的价值?在这糊机制命名软控制首先在意见动力学被介绍当人口被给,进化统治时,指导组意见不被允许变化。根据软控制的想法,一或几个特殊代理人,叫的党羽,被增加并且与在原版的代理人组织的或几正常连接了。党羽行动并且被当作正常代理人。作者证明会聚的意见价值的变化被起始的意见和党羽的有影响的价值决定,以及党羽怎么与正常连接代理人。有趣、违反直觉的现象被发现:与更小的起始的意见价值增加一个党羽(或更大)与比原版会聚的意见价值剂量未必减少(或增加)在一些条件下面的会聚的意见价值。这些条件通过数学分析被给,他们被数字测试验证。当一个党羽被连接到不同正常时,作者也发现系统的集中速度变化代理人。我们的模拟证明它是断然与连接正常的度有关在没有规模的网络的代理人。
简介:WU-RITT'SMETHODFORNONLINEARCONTROLSYSTEMS¥LIShurong(InstituteofSystemsScience,AcademiaSinica,Beijing100080,China)Abstract:Thi...
简介:这份报纸处理同步路径列在后面多重同质的underactuated的问题自治在水下车辆(AUV)。奉献控制法律被分成二个信封:一个人正在驾驶个人在水下追踪预定义的路径的车辆,和其它正在保证要同步的多重车辆的追踪的路径,借助于在多车辆通讯拓扑学的限制下面的分散的速度改编。与这二任务明确的表达,几何路径列在后面在Lyapunov理论和backstepping技术上被造,当把舵手行为注入经典单个路径追随者控制时。路径参数的同步被从线性代数学,图理论和非线性的控制理论使用工具的混合物到达。有最小化的通讯变量的直接内部车辆的速度改编上的一个简单却有效的控制图案,使multi-AUV系统能被同步并且稳定进一不变歧管,并且所有速度作为一个副产品收敛到需要的任务。模拟结果说明法律建议了的同步路径追随者控制的表演。