含饱和作动器的主动TMD振动控制研究
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摘要
以含主动调谐质量阻尼器(TMD)的建筑结构为研究对象,研究作用于TMD上的作动器输出力小于设计控制力时的控制方法.为了确定系统控制率,在满足线性矩阵不等式约束的前提下,通过优化控制目标函数来达到.同时,为了保证控制效果,采用了峰-能量控制器.最后,以一座六层建筑物为例来说明本文方法的可行性.
The building structures with tuned mass damper (TMD) were used as research object, and a controll strategy was proposed when the output force of the TMD actuator was less than the designed controll force.The optimization method was used to search for the system control-law under the condition that the premium of the linear matrix inequalities(LMIs) was satisfied,and the peak-energy controller was adopted for assuring the control effect.Finally,an example of 6-storey building was used to illustrate the feasibility of the presented method.
The building structures with tuned mass damper (TMD) were used as research object, and a controll strategy was proposed when the output force of the TMD actuator was less than the designed controll force.The optimization method was used to search for the system control-law under the condition that the premium of the linear matrix inequalities(LMIs) was satisfied,and the peak-energy controller was adopted for assuring the control effect.Finally,an example of 6-storey building was used to illustrate the feasibility of the presented method.
引文
1 李忠献,张伟,姜忻良.高层建筑地震反应全反馈主动TMD控制理论研究.地震工程与工程振动,1997,17(3):60～65(LiZhongxian,ZhangWei,JiangXingliang.TheoreticalResearchonComplete FeedbackActiveTMD ControlforSeismicResponsesofMultidtoryBuildings.EarthquakeEngineeringandEngineeringVibration,1997,17(3):60～65(inChinese))
2 李春祥.土木工程结构的双层多重调谐质量阻尼器控制策略.地震工程与工程振动,2005,25(1):113～119(Li Chunxiang.Dual layerMultipleTunedMassDamperCon trolStrategyofCivilEngineeringStructures.Earthquake EngineeringandEngineeringVibration,2005,25(1):113～119(inChinese))
3 CaoH,LiQS.NewControlStrategiesforActiveTunedMassDamperSystems.Computer&Structures,2004,82:2341～2350
4 JohnsonEA,VoulgarisPG.MultiobjectiveOptimalStructural ControloftheNotreDameBuildingModelBenchmark.Earth quakeEng.Struct.Dyn.,1998,27:1165～1187
5 SchererC,GahinetP.Multi objectiveOutputFeedback ControlviaLMIoptimization.IEEETrans.Autom.Control,1997,42(7):896～910
6 YangJN,LinS,JabbariF.LinearMultiobjectiveControl StrategiesforWind ExcitedBuildings.J.Engineering Mechanics,2004,130(4):471～477
7 KimJH,JabbariF.ActuatorSaturationandControlDesign forBuildingsunderSeismicExcitation.J.Engineering Mechanics,2002,128(4):403～412
8 TakikaoS,TakaoF.MultiobjectiveControlviaSuccessive Over BoundingofQuadraticTerms.InternationalJournal ofRobustandNonlinearControl,2005,15(8):363～381
9 KimJH,JabbariF.ScheduledControlledforBuildingsun derSeismicExcitationwithLimitedActuatorCapacity.J.EngineeringMechanics,2004,130(4):800～808
10 OhtoriY,ChristensonRE,SpencerBF,DykeSJ.Benchmark ControlProblemsforSeismicallyExcitedNonlinearBuildings.J.EngineeringMechanics,2004,130(4):366～384
2 李春祥.土木工程结构的双层多重调谐质量阻尼器控制策略.地震工程与工程振动,2005,25(1):113～119(Li Chunxiang.Dual layerMultipleTunedMassDamperCon trolStrategyofCivilEngineeringStructures.Earthquake EngineeringandEngineeringVibration,2005,25(1):113～119(inChinese))
3 CaoH,LiQS.NewControlStrategiesforActiveTunedMassDamperSystems.Computer&Structures,2004,82:2341～2350
4 JohnsonEA,VoulgarisPG.MultiobjectiveOptimalStructural ControloftheNotreDameBuildingModelBenchmark.Earth quakeEng.Struct.Dyn.,1998,27:1165～1187
5 SchererC,GahinetP.Multi objectiveOutputFeedback ControlviaLMIoptimization.IEEETrans.Autom.Control,1997,42(7):896～910
6 YangJN,LinS,JabbariF.LinearMultiobjectiveControl StrategiesforWind ExcitedBuildings.J.Engineering Mechanics,2004,130(4):471～477
7 KimJH,JabbariF.ActuatorSaturationandControlDesign forBuildingsunderSeismicExcitation.J.Engineering Mechanics,2002,128(4):403～412
8 TakikaoS,TakaoF.MultiobjectiveControlviaSuccessive Over BoundingofQuadraticTerms.InternationalJournal ofRobustandNonlinearControl,2005,15(8):363～381
9 KimJH,JabbariF.ScheduledControlledforBuildingsun derSeismicExcitationwithLimitedActuatorCapacity.J.EngineeringMechanics,2004,130(4):800～808
10 OhtoriY,ChristensonRE,SpencerBF,DykeSJ.Benchmark ControlProblemsforSeismicallyExcitedNonlinearBuildings.J.EngineeringMechanics,2004,130(4):366～384
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