类非线性系统广义预测控制分析

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1、ABSTRACTGeneralizedPredictiveControl(GPC)foraclassofnonlinearsystemisstudiedinthispaperThemainresultsareconcludedasfollows：(1)Themethodthataclassofnonlinearcanbesubstitutedbyatime-varyinglinearsystemisgivenandproved．Sotheoriesoflinearsystemscanbeusedfornonlineard

2、irectly．Leastsquareidentificationandorthogonalpolynomialsareusedforthetime—varyingparametersidentification．AnimplicitGPCfornonlinearsystemispresented，inwhichorthogonalpolynomialsareusedtoestimatedthetime-varyingparametersofthegeneralizedpredictivecontroller．Thest

3、abilityoftheclosed—loopsystemisanalyzed．(2)WaveletnetworksareintroducedtoGPC．SeveralnonlinearGPCalgorithmsbasedonwaveletnetworksaregiven：anonlinearGPCbaseonpredictiveerrorcompensationisdesigned，inwhichwaveletnetworkisusedtomodelthepredictiveerror；Anewstructureofm

4、ulti—steppredictivecontrollerisconstructedinwhichwaveletnetworksareusedtoidentifiedthenonlineardirectly；Asingle—steppredictivecontrollerisgiven，inwhichawaveletnetworksareusedtOestimatetheparametersofthelineartime—varyingsystem．；AnaimplicitGPCfornonlinearsystemisp

5、resented，inwhichwaveletnetworksareusedtoestimatedthetime-varyingparametersofthegeneralizedpredictivecontroller．Fortheabovemethods，theperformanceoftheclosed—loopsystemisanalyzed(3)NonlinearGt’Cbasedonwaveletnetworksinversesystemisproposed．inwhichwaveletnetworkisus

6、edtomodelthea—inversesystemofthenonlinearsystem．’FhestructureofinlernalcontrolisadaptedforGPC．Thestabilitymadtrackingperformancewithmodelingerrorarediscussed．(4)Theequivalentlinearizationisextendedtononlinearmultivariablesystem．Angeneralizedpredictivecontrollersf

7、orthenonlinearsystemislisted．DecoupleGPCformultivariablenonlinearisstudied．AnewdecoupleGPCstrategyisdesigned，inwhichwaveletnetworksareusedtomodelthegeneralizedinversemodelofthenonlinearsystem．(5)Theideaoftheequivalentlinearizationisextendedtoaclassofnonlinearcont

8、inuoussystem，Thecontinuousnonlineargeneralizedpredictivecontrollersforthenonlinearsystemaredesigned．Keywords：nonlinear，GeneralizedPredictiveControl，adaptivecon