两类离散非线性系统的模型预测控制

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1、哈尔滨理工大学理学硕士学位论文ModelPredictiveControlforTwoClassesofNonlinearDiscreteSystemsAbstractWiththedevelopmentofmodernindustryandprogressofsciencetechnology,theprocessindustryischangedtomorecomplexandwithstrongnonlinearcharacteristicssothatlinearmodelpredictivecontro

2、l(LMPC)maynotalwaysobtainsatisfactorycontrolresults.Predictivecontrolbasednonlinearmodel(NMPC)hasbecomeanimportantresearchissueinthecontrolengineeringfieds.Modelpredictivecontrolmethodsfortwoclassesofnonlinearsystems,namely,nonlineardiscretestochasticsystemsw

3、ithactuatorsaturationandnonlinearquadraticsystemsarestudiesinthispaper.Stabilityanalysisoftheproposedpredictivecontrolmethodsisgiven,whilethevalidityoftheproposedcontrolmethodsisverifiedviasimulationexperiments.Themaincontentsareoutlinedasfollows:1.Themodelp

4、redictivecontrolisinvestigatedfornonlineardiscretestochasticsystemswithactuatorsaturation.Theactuatorsaturation,randomnonlinearityandexternaldisturbancessimultaneouslyareincludedinthiscontrolledsystems.Thesaturationfunctionisdecomposedintoalinearandanonlinea

5、rpartbyusingthesectorconditions,andthestochasticnonlinearityisdescribedbystatisticalmeans.BasedontheLyapunovstabilitytheoremandlinearmatrixinequality(LMI)technique,sufficientconditionsaregiventoguaranteetheperformanceandthestochasticstabilityofclosed-loopsy

6、stem.Finally,asimulationexampleisemployedtoshowthefeasibilityandeffectivenessofthemodelpredictivecontrolmethod.2.Themodelpredictivecontrolisinvestigatedfornonlineardiscretequadraticsystems.Foragivenpolytopicinitialfeasibleset,astatefeedbackmodelpredictiveco

7、ntrollerisdesigned,sufficientconditionsfortheclosed-loopsystemstobestableandcostfunctiontobeminimumarederivedbyusinglinearmatrixinequalities.BasedonLyapunovtheorem,thefeasibilityoftheproposedmodelpredictivecontrolalgorithmandthestabilityoftheclosed-loopsystem

8、sareproved.Finally,asimulationexampleisemployedtoshowthefeasibilityandeffectivenessofthemodelpredictivecontrolmethod.-II-哈尔滨理工大学理学硕士学位论文Keywordsmodelpredictivecontrol,actuatorsaturation,n