BuildingServ.Eng.Res.Technol.31,1(2010)pp.39–55
RobustMPCfortemperaturecontrolofair-conditioningsystemsconcerningonconstraintsandmultitypeuncertainties
XinhuaXua,ÃPhDShengweiWangaPhDMASHRAECEngandGongshengHuangbPhDa
DepartmentofBuildingServicesEngineering,theHongKongPolytechnicUniversity,Kowloon,HongKongb
DivisionofBuildingScience&Technology,CityUniversityofHongKong,Kowloon,HongKong
Thispaperpresentsarobustmodel-basedpredictivecontrol(MPC)strategyfortemperaturecontrolofanair-conditioningsystem,whichconsistsofmultiplelocal-loopprocessesandeachprocesssuffersfromdifferentdynamicsuncertaintiesorvariations.Whenanappropriatesamplingperiodischosentodiscretisethesystemforcomputercontrol,astate-spacediscretemodelwithanuncertaintypolytopeisdevelopedtodescribethemixinguncertaintiesofthesetypeofsystems.Themainbenefitoftheproposeddescriptionisthatrobustmodelpredictivecontrolcanbeeasilyusedtodesignarobustcontrollerforsuchasystemwhiletakingaccountofconstraintsassociatedwiththissystem.Alinearmatrixinequality-basedMPCalgorithmisemployedforcontroldesign.Casestudywasconductedonadynamicsimulationplatformofanair-conditioningsystem,whichevaluatedthedevelopedstrategyinvarioussimulationtestsbycomparingwiththeconventionalPIDcontrol.Resultsdemonstratedthatthedevelopedstrategyisabletodealwithconstraintsandallowsstableandrobustcontrolwhilemaintainingacceptablethermalcomfort.Althoughthestrategyisillustratedandvalidatedusingaconstantairvolumeair-conditioningsystem,itcanbeappliedtootherconstraintHVACprocessessufferingfromsimilaruncertainties.
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1Introduction
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Currentaddress:DepartmentofBuildingEnvironment&ServicesEngineering,SchoolofEnvironmentalScience&Engineering,HuazhongUniversityofScience&Technology,Wuhan,China.
Addressforcorrespondence:GongshengHuang,DivisionofBuildingScience&Technology,CityUniversityofHongKong,Kowloon,HongKong.
E-mail:gongsheng.huang@cityu.edu.hk
Moderncommercialandofficebuildingsarealwaysequippedwithair-conditioningsys-temsprovidingcomfortableenvironmentforoccupants.Variable-air-volume(VAV)andconstant-air-volume(CAV)air-conditioningsystemarecurrentlythetwotypicalprocesseswidelyequippedincommercialandofficebuildings.WhetherinVAVorCAVsystems,
10.1177/0143624409352420
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