基于拉蓋爾函數(shù)的連續(xù)時(shí)間系統(tǒng)辨識(shí)與系統(tǒng)分析.pdf

1、北京交通大學(xué)碩士學(xué)位論文基于拉蓋爾函數(shù)的連續(xù)時(shí)間系統(tǒng)辨識(shí)與系統(tǒng)分析姓名：付強(qiáng)申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：控制理論與控制工程指導(dǎo)教師：程軼平20090601j匕塞鑾垣太亟堂僮途塞△旦墨!B△￡!ABSTRACTABSTRACT：Generallysystemidentificationisadisciplinetosearchforthemathematicalmodelwhichreflectsthenaturalpropertyofsys

2、tembymeasuringsystemresponsedataexcitedbyoutsideforceandusingoptimizationtechniquesaccordingtosomecertainidentificationcriterionandmodelingpurposeAtpresentmostsystemidentificationmethodsfordiscretetimesystemsareestablish

3、ed，buttherewillbesomeproblemsincontinuoustimesystemidentificationusingmethodsofdiscretetimesystemidentificationTherefore，itisnecessarytoidentifycontinuous—timesystemdirectlyinpracticeThefirstissueofdirectidentificationof

4、continuoustimesystemsisthetreatmentofdifferentialoperatorAsisknown，thedifferentialoperatoramplifiesthenoisesignals，whilethesystemmixedwi也noiseisinevitableThereforeitisnecessarytoconvertthedifferentialoperatortootheropera

5、torwhichisnotsensitivetonoisesignalsIngeneral，continuoustimesystemmodelsCanbedividedintotwomajorcategories，nonparametricmodelsandparametricmodelsFornon—parametricmodels，asetoforthogonalfunctionscallbeusedtoapproximatethe

6、impulseresponseofsystem；forparametricmodels，asetoforthogonalfunctionsCanalsobeusedtopreprocessingofinputandoutputsignalsinsteadofthedifferentialoperationincontinuous—timesystemInadditionthesequenceoforthogonalfunctionsca

7、nbeusedtotheanalysisofcomplexsystemsInthispapertheLaguerreorthogonalfunctionsareintroducedforcontinuous—timesystemidentificationandsystemanalysisafterthecomparisonofdiscretetimesystemmodelsandcontinuoustimesystemmodelsTh

8、isarticlemainlystudiesthefollowingaspects：(1)Afteranalyzingthebackgroundoftheproject，thetargetsofthestudyaredeterminedandthemajorproblemsareputforwardAfterabriefoverviewondiscretetimesystemidentification，theproblemsofdis

9、cretizationofcontinuoustimesystemmodelarefocusedonThentheleastsquaremethodisdiscussedindetails，acontinuoustimeleastsquaremethodandacontinuoustimerecursiveleastsquaremethodforcontinuous—timesystemidentificationareputforwa