基于采样反馈线性切换系统的优化控制

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1、北京交通大学硕士学位论文英文摘要ABSTRACTABS’l’KAC’l：Inpracticalengineering，manysystemshavediscretefeedbackwhiletheyarecontinuousessentially．Dynamicsystem，whichhasseveralsub-systemsswitchingamongeachother，iscalledswitchedsystem．Switchingisaccordingtoaspecificswitchingrule．All也esub．systemsare

2、continuousordiscretetimedyna“csystem．Andtheswitchedsystemisanimportanttypeofhybridsystem．Thepropertiesofswitchedsystemareparticularandcomplex．Theyarenotthesimpleadditionofpropertiesofeverysub—system．Switchingisthenatureofswitchedsystem．Inrecenttenyears，abundantofresearchresu

3、ltsrelatedwithoptimalcontrolofswitchedsystemappear．Italsomeanstheimprovementofswitchedcontroltheoryasmoreandmoreresearcherspayattentiontoit．Basedonexistingtheoriesandresultsaboutswitchedcontrolsystemandlinearquadraticoptimalcontrol，thisthesisproposesoptimalcontrolofswitcheds

4、ystemsbasedonsampledfeedbackformefirsttime．Andthepossibilityoftheresult'sapplicationtOpracticalsystemisanalyzed．Mostpracticalsystemsarecontinuousinnaturebutwithdiscrete(sampled)feedback．Basedonthebasicconceptsandmethodsofcontroltheory，withthehelpofpropermathematicstools，stab

5、ilizationofswitchedcontinuous·timesystemsbasedonsampledfeedbackandthepossibilityofitspracticalapplicationareinvestigated．Consideringsystemswithconstantsystemparameterandthosewhoseparametersjumpamongseveralsetsofnumbers，weconstructasampled-datafeedbackcontrolstrategyandasumci

6、entconditionrelatedwithsamplingtimetoobtainoptimality，whicharebasedonoptimizationtheoryandtheoriginalcontinuousperformanceindex．Inaddition，theexpressionoftheexplicitrelationbetweensampled-databasedlinearquadraticcontrolandthecontinuousstatebasedlinearquadraticcontrolisgiven．

7、Organizationofthepaperisasfollows：IIlthefirstsection．thesampled．databasedlinearquadraticcontrolofcontinuoustime．invariantsystemissystematicallystudied．Whenthesystemparametersareconstant，conditionthatthesamplingtimeneedstosatisfyismathematicallydeducedtomakethesystemwithsampl

8、eddatabasedcontrolgetquadraticoptimality．Inthesecondsection，thesufficientco