Gaussian Process Model Based Predictive Control.pdf

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1、GaussianProcessModelBasedPredictiveControlJusKocijan,RoderickMurray-Smith,ˇCarlEdwardRasmussen,AgatheGirardAbstract—Gaussianprocessmodelsprovideaprobabilisticlikestability,efficientcomputation,optimisation,constraintsnon-parametricmodellingapproachforblack-boxidentifica-ando

2、thers.Somerecentworkinthisfieldcanbefoundintionofnon-lineardynamicsystems.TheGaussianprocesses[2],[11].NMPCalgorithmsarebasedonvariousnonlinearcanhighlightareasoftheinputspacewherepredictionqualitymodels.Oftenthesemodelsaredevelopedasfirstprinciplesispoor,duetothelackofdatao

3、ritscomplexity,byindicatingthehighervariancearoundthepredictedmean.Gaussianmodels,butotherapproaches,likeblack-boxidentificationprocessmodelscontainnoticeablylesscoefficientstobeopti-approachesarealsopopular.Variouspredictivecontrolmised.Thispaperillustratespossibleapplicati

4、onofGaussianalgorithmsarebasedonneuralnetworksmodele.g.[16],processmodelswithinmodel-basedpredictivecontrol.Thefuzzymodelse.g.[7]orlocalmodelnetworkse.g.[5].extrainformationprovidedwithinGaussianprocessmodelisThequalityofcontroldependsonqualityofmodel.Newusedinpredictiveco

5、ntrol,whereoptimisationofcontrolsignaltakesthevarianceinformationintoaccount.ThepredictivedevelopmentsinNMPCapproachesarecomingfromre-controlprincipleisdemonstratedoncontrolofpHprocesssolvingvariousissues:fromfasteroptimisationmethodsbenchmark.todifferentprocessmodel.Theco

6、ntributionofthispaperistodescribeaNMPCprinciplewithaGaussianprocessI.INTRODUCTIONmodel.TheGaussianprocessmodelisanexampleofaModelPredictiveControl(MPC)isacommonnameforprobabilisticnon-parametricmodelthatalsoprovidesin-computercontrolalgorithmsthatuseanexplicitprocessformat

7、ionaboutpredictionuncertaintieswhicharedifficultmodeltopredictthefutureplantresponse.Accordingtothistoevaluateappropriatelyinnonlinearparametricmodels.predictioninthechosenperiod,alsoknownasthepredictionThemajorityofworkonGaussianprocessesshownuptohorizon,theMPCalgorithmopt

8、imisesthemanipulatedvari-nowconsidersmodellingofstaticnon-linearities.Theuseabletoobtaina