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ID:36452604
大小:2.37 MB
页数:72页
时间:2019-05-10
《QR分解技术在递推系统辨识中的应用》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、北京交通大学硕士学位论文QR分解技术在递推系统辨识中的应用姓名:孙延鹏申请学位级别:硕士专业:控制理论与控制工程指导教师:程轶平20080601ABSTRACTABSTRACT:Modemcontroltheoryconsistsofsystemidentification,stateestimationandcontroltheory.Systemidentification,partofsystemmodeling,includesidentifyingthestructureofmathematica
2、lmodelandestimatingparametersofmathematicalmodel.Itplaysakeyroleinbothrealityandtheorytoidentifythestructureandparametersofsystems.TheLeastSquareMethod(LS),笛allimportantapproachofsystemparameteridentification,haSbeenwidelyappliedtonumerousfieldsandoccasion
3、s.RealizationmethodofLSisimprovedtoaccelerateidentificationbymeansofQRdecompositioninthispaper.QRdecompositionoftheblockHankelmatrixisobtainedthoughGIVENStransformation,onthebasisofwhichtherecursiveidentificationforsystemparametersisderived.Inthispaper,the
4、followingaspectsaremainlystudied:Firstly,theLeastSquaremethodofsystemparametersidentificationisstudied,andbyanalyzingtheoutputequationmodel,theLeastSquareestimationresultcanbegot;thentheQRdecompositionisintroducedtomakeupforitsdisadvantagessuchaslowprecisi
5、onandefficiencybesidesitsbadnumericalstability.TheQRdecompositioncanbeimplementedbyseveralmethods,bycontrastofwhichthesimplest2x2GIVENStransformationischosen够theavenueofdecomposingtofitforthealgorithm.Basedonthis,themodifiedrecursiveidentificationalgorithm
6、forSingle-Input-Single-Output(SISO)systemisderivedandappliedtothecaseofcontainingforgettingfactonThedata-drivenproblemisalsodealtwithindetaillater.ByanalyzingthemathematicalmodelofMIMOsystemandchangingtheformofthetransformfunction,theMulti—Input-Multi—Outp
7、ut(MIMO)systemCallequivalentlybereplacedbyseveralMulti—Input-Single-Outputsubsystems.ThustheparametersidentificationforMIMOsystemcallbeimplementedbyidentifyingthesubsystems.Theinputsalethesameforallsubsystems,SObydealingwiththeinputdataandcitingtheresults,
8、therecursiveidentificationforsubsystemparametersCanherapidlyderived.ThentheidentificationforMIMOsystemparameterscanbeobtainedrapidlybythesubsystemmethod,thedatadrivenproblemalsosolvedeffectively.Consideringth
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