简介:ThispaperstudiestheinfinitetimehorizonmixedH-two/H-infinitycontrolproblemfordescriptorsystemsusingNashgameapproach.Anecessary/sufficientconditionfortheexistenceofinfinitehorizonH-two/H-infinitycontrolispresentedintheformoftwocoupledalgebraicRiccatiequations,respectively.Finally,asuboptimalH-two/H-infinitycontrollerdesignisgivenbasedonaniterativelinearmatrixinequalityalgorithm.
简介:ThispaperconsidersH-infinitycontrolproblemforintervaldescriptorsystems.NecessaryandsufficientLMI-basedconditionsarederivedforquadratic-likeH-infinitycontrolanalysisofintervaldescriptorsystems.Usingtheanalysisresult,twotypesoffeedbackcontrollersaredesignedsothattheclosed-loopintervaldescriptorsystemsareadmissiblewithH-infinity-normlessthanaprescribedvalue.Tothebestoftheauthors’sknowledge,thisisthefirstpapertodealwiththeH-infinitycontrolproblemofintervaldescriptorsystemsintheliterature.
简介:这篇论文涉及在取样的大小下面在不明确的系统上过滤的柔韧的H无穷的问题,两连续骚乱;分离骚乱在系统被考虑。参数不确定性被假定变化时间围住标准。目的是设计一个asymptotically稳定的过滤器,用局部地取样的大小,它两个都保证柔韧的asymptotic稳定性;为为所有可被考虑的不确定性的过滤错误动力学的H无穷性能的规定水平。推导进程被介绍辅助系统简化;为如此的一个过滤器的存在的足够的条件被建议。在学习期间,主要结果被采用各种各样的矩阵技术表示为LMI。用Matlab软件的LMI工具箱,获得适当过滤器是很方便的。最后,一个数字例子证明方法是有效的;可行。
简介:ThispaperisconcernedwiththeH-infinitycontrolproblemforaclassofcascadeswitchednonlinearsystems.Eachswitchedsysteminthisclassiscomposedofazero-inputasymptoticallystablenonlinearpart,whichisalsoaswitchedsystem,andalinearizablepartwhichiscontrollable.ConditionsunderwhichtheH-infinitycontrolproblemissolvableunderarbitraryswitchinglawandundersomedesignedswitchinglawarederivedrespectively.Thenonlinearstatefeedbackandswitchinglawaredesigned.WeexploitthestructuralcharacteristicsoftheswitchednonlinearsystemstoconstructcommonLyapunovfunctionsforarbitraryswitchingandtofindasingleLyapunovfunctionfordesignedswitchinglaw.TheproposedmethodsdonotrelyonthesolutionsofHamilton-Jacobiinequalities.
简介:完整顺序的柔韧的H无穷评估者的设计被调查forcontinuous时间polytopic不明确的系统。主要目的是获得一个马厩和合适的线性评估者以便评价错误系统与prescribedH无穷变细水平仍然保持要用体力地稳定。基于展出在Lyapunov矩阵和系统之间的一种去耦的一个最近建议的H无穷性能标准动态矩阵,为柔韧的评估者的存在的一个足够的条件以线性矩阵不平等被提供。死,这被显示出建议设计策略允许parameter-dependentLyapunov功能的使用并且因此它不比更早的结果保守。一个数字例子被采用说明建议设计的可行性和优点。
简介:AnewapproachforrobustH-infinityfilteringforaclassofLipschitznonlinearsystemswithtime-varyinguncertaintiesbothinthelinearandnonlinearpartsofthesystemisproposedinanLMIframework.TheadmissibleLipschitzconstantofthesystemandthedisturbanceattenuationlevelaremaximizedsimultaneouslythroughconvexmulti-objectiveoptimization.TheresultingH-infinityfilterguaranteesasymptoticstabilityoftheestimationerrordynamicswithexponentialconvergenceandisrobustagainstnonlinearadditiveuncertaintyandtime-varyingparametricuncertainties.Explicitboundsonthenonlinearuncertaintyarederivedbasedonnorm-wiseandelement-wiserobustnessanalysis.
简介:ThispaperdiscussesH-infinitystatefeedbackcontrolforanetworkedcontrolsystemwithtime-varyingdelays.Basedonthefree-weighingmatrixmethod,adelay-dependentstabilitycriterionsatisfyingaprescribedH-infinitynormboundispresentedforanNCSwithunknown,time-varyingandboundeddelays.Andthen,thecriterionistransformedintosufficientconditionsbasedonlinearmatrixinequalitiesforH-infinitycontrol.TheconditionsthusobtainedarealsousedtodesignanH-infinitystatefeedbackcontroller.ThisdesignmethodisfurtherextendedtosolvethedesignproblemofrobustH-infinitystatefeedbackcontrol.Anumericalexampledemonstratesthevalidityofthemethod.
简介:ThispaperfocusesontherobustH-infinityreliablecontrolforaclassofnonlinearneutraldelaysystemswithuncertaintiesandactuatorfailures.Wedesignastatefeedbackcontrollerintermsoflinearmatrixinequality(LMI)suchthattheplantsatisfiesrobustH-infinityperformanceforalladmissibleuncertainties,andactuatorfailuresamongaprespecifiedsubsetofactuators.Anexampleisalsogiventoillustratetheeffectivenessoftheproposedapproach.
简介:ThispaperdevelopsanewmethodtodealwiththerobustH-infinitycontrolproblemforaclassofuncertainswitchednonlinearsystemsbyusingintegralslidingmodecontrol.ArobustH-infinityintegralslidingsurfaceisconstructedsuchthattheslidingmodeisrobuststablewithaprescribeddisturbanceattenuationlevelγforaclassofswitchingsignalswithaveragedwelltime.Furthermore,variablestructurecontrollersaredesignedtomaintainthestateofswitchedsystemontheslidingsurfacefromtheinitialtime.Anumericalexampleisgiventoillustratetheeffectivenessoftheproposedmethod.
简介:TheproblemofrobustH-infinityfault-tolerantcontrolagainstsensorfailuresforaclassofuncertaindescriptorsystemsviadynamicalcompensatorsisconsidered.BasedonH-infinitytheoryindescriptorsystems,asufficientconditionfortheexistenceofdynamicalcompensatorswithH-infinityfault-tolerantfunctionisderivedandexpressionsforthegainmatricesinthecompensatorsarepresented.Thedynamicalcompensatorguaranteesthattheresultantcolsed-loopsystemisadmissible;furthermore,itmaintainscertainH-infinitynormperformanceinthenormalconditionaswellasintheeventofsensorfailuresandparameteruncertainties.Anumericalexampleshowstheeffectoftheproposedmethod.