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ID:34282119
大小:315.34 KB
页数:12页
时间:2019-03-04
《Hard Constraints for Prioritized Objective.pdf》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、HardConstraintsforPrioritizedObjectiveNonlinearMPCChristopherE.LongandEdwardP.GatzkeUniversityofSouthCarolina,DepartmentofChemicalEngineering,Columbia,SC,USA29208gatzke@sc.eduSummary.ThispaperpresentsaNonlinearModelPredictiveControl(NMPC)al-gorithmth
2、atuseshardvariableconstraintstoallowforcontrolobjectiveprioritiza-tion.Traditionalprioritizedobjectiveapproachescanrequirethesolutionofacomplexmixed-integerprogram.Theformulationpresentedinthisworkreliesonthefeasibil-ityandsolutionofarelativelysmalll
3、ogicalsequenceofpurelycontinuousnonlinearprograms(NLP).Theproposedsolutionmethodforaccomodationofdiscretecontrolobjectivesisequivalenttosolutionoftheoverallmixed-integernonlinearprogrammingproblem.Theperformanceofthealgorithmisdemonstratedonasimulate
4、dmultivari-ablenetworkofairpressuretanks.1IntroductionModelPredictiveControl(MPC)technologyismostnotableforitsabilitytocon-trolcomplexmultivariableindustrialsystems.Themodel-basedcontrolschemereliesontheonlinesolutionofanoptimizationproblemfortheopti
5、malcon-trolsequencethatminimizesacostfunctionwhichevaluatesthesystemoversomepredictionhorizon.Thetypicalcostfunctionaccountsfornumerouscon-trolobjectivesspanningdifferentlevelsofrelativeimportanceincludingthosestemmingfromequipmentlimitsandsafetyconce
6、rns,productqualityspecifica-tions,aswellaseconomicgoals.Traditionalformulationspenalizeviolationsofsoftconstraintstoachievethedesiredperformance.However,theyoftenrelyonadhoctuningtodeterminetheappropriatetrade-offbetweenthevariouscontrolobjectives.More
7、over,thetuningbecomeslessintuitiveforsystemsofincreasingcomplexity.Recentstudieshavefocusedonensuringthatcontrolobjectiveprioritizationishandledeffectively[3,4,7,8,13,14,18,19].Mixedintegermethodsutilizepropositionallogic[17]andbinaryvariablestodefinew
8、hetherdiscretecontrolobjectiveshavebeenmetandwhethertheyaremetinorderofpriority.Termsareincludedinthecostfunctiontopenalizefailuretomeettheprioritizedob-jectivesandtheresultingmixedintegerprogramissolvedtodeterminetheappropriateinputmove(s).Neverthel
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