建筑结构鲁棒H_∞控制与作动器优化配置一体化
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摘要
为解决建筑结构在地震或风荷载等作用下的振动控制问题,得出了状态反馈下的最优鲁棒H∞控制器。对于系统参数和输入特性都不确知的建筑结构,从鲁棒H∞控制理论出发,求解线性矩阵不等式。以鲁棒H∞范数的极小值γm in为准则,优化了作动器的数目和位置。该控制器的设计和作动器的优化配置同时考虑了两者的相互影响,对其进行了一体化设计。通过对一个多层剪切型建筑结构进行仿真计算,验证了该方法的有效性和其简单易行、鲁棒性强等特性。
A robust H_∞ controller with state feedback was developed for vibration control of building structure during seismic excitation or wind loads.The building structure can have uncertain system parameters and disturbances.The linear matrix inequalities were solved based on robust H_∞ control theory to optimize the number of actuators and their locations based on a minimum norm criterion.The integrated design of the robust controller and the actuator placement includes the interactions between the controller and the actuators.The validity and robustness of the method are confirmed through a simulation of a multilayer shear frame building structure.
A robust H_∞ controller with state feedback was developed for vibration control of building structure during seismic excitation or wind loads.The building structure can have uncertain system parameters and disturbances.The linear matrix inequalities were solved based on robust H_∞ control theory to optimize the number of actuators and their locations based on a minimum norm criterion.The integrated design of the robust controller and the actuator placement includes the interactions between the controller and the actuators.The validity and robustness of the method are confirmed through a simulation of a multilayer shear frame building structure.
引文
[1]欧进萍.结构振动控制——主动,半主动和智能控制[M].北京:科学出版社,2003.OU Jinp ing.S tructura l V ibration C on tro l—A ctive,Sem i-active and In telligen t C on tro l[M].Be ijing:ScienceP ress,2003.(in Ch inese)
[2]张远勤,林桐,穆静,等.基于LM I的建筑结构地震动H2/H∞混合控制[J].福州大学学报(自然科学版),2004,32(1):60 64.ZHANG Y uanq in,L IN T ong,MU Jing,et a l.H2/H∞con tro l for se im ic-excited bu ild ings based on linear m atrixinequa lities(LM I)[J].J ourna l of F uzhou Un iversity(N a tura l S cience),2004,32(1):60 64.(in Ch inese)
[3]沙成满,王恩德,杨冬梅,等.土木工程结构抗震主动控制H2/H∞混合优化设计[J].工程抗震,2002(2):7 10.SHA Chengm an,W ANG Ende,YANG D ongm e i,et a l.Theoptim um design ofH2/H∞active con tro l for civ il engneeringearthquake-resistance[J].E ng E a rthquake-R esistance,2002(2):7 10.(in Ch inese)
[4]刘福强,张令弥.作动器/传感器优化配置的研究进展[J].力学进展,2000,30(4):506 516.L IU Fuq iang,ZHANG L ingm i.A dvances in optim a lp lacem en t of actuators and sensors[J].A dvances inM echances,2000,30(4):506 516.(in Ch inese)
[5]D em etriou M A,Borggaard J.O ptim ization of an in tegratedA ctuator p lacem en t and robust con tro l schem e for d istribu tedparam eter processes sub ject to w orst-case spatia l d isturbanced istribu tion[J].P ro Am e C ontrol C onf,2003(3):21142119.
[6]D em etriou M A.In tegrated actuator-sensor p lacem en t andhybrid con tro ller design of flex ib le structures under w orstcase spatiotem pora l d isturbance variations[J].J Intellig entM a ter ia l S y stem s and S tructures,2004,15(12):901 921.
[7]俞立.鲁棒控制——线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.YU L i.R obust C on tro l—L inear M atrix Inequa litiesT reatm en t[M].Be ijing:T singhua U n iversity P ress,2002.(in Ch inese)
[8]胡刚,孙继涛.参数不确定广义系统的鲁棒H∞控制[J].同济大学学报(自然科学版),2003,31(3):334 338.HU G ang,SUN Jitao.R obust H∞con tro l for singu larsystem s w ith uncerta in param eters[J].J T ong j i Un iv,2003,31(3):334 338.(in Ch inese)
[2]张远勤,林桐,穆静,等.基于LM I的建筑结构地震动H2/H∞混合控制[J].福州大学学报(自然科学版),2004,32(1):60 64.ZHANG Y uanq in,L IN T ong,MU Jing,et a l.H2/H∞con tro l for se im ic-excited bu ild ings based on linear m atrixinequa lities(LM I)[J].J ourna l of F uzhou Un iversity(N a tura l S cience),2004,32(1):60 64.(in Ch inese)
[3]沙成满,王恩德,杨冬梅,等.土木工程结构抗震主动控制H2/H∞混合优化设计[J].工程抗震,2002(2):7 10.SHA Chengm an,W ANG Ende,YANG D ongm e i,et a l.Theoptim um design ofH2/H∞active con tro l for civ il engneeringearthquake-resistance[J].E ng E a rthquake-R esistance,2002(2):7 10.(in Ch inese)
[4]刘福强,张令弥.作动器/传感器优化配置的研究进展[J].力学进展,2000,30(4):506 516.L IU Fuq iang,ZHANG L ingm i.A dvances in optim a lp lacem en t of actuators and sensors[J].A dvances inM echances,2000,30(4):506 516.(in Ch inese)
[5]D em etriou M A,Borggaard J.O ptim ization of an in tegratedA ctuator p lacem en t and robust con tro l schem e for d istribu tedparam eter processes sub ject to w orst-case spatia l d isturbanced istribu tion[J].P ro Am e C ontrol C onf,2003(3):21142119.
[6]D em etriou M A.In tegrated actuator-sensor p lacem en t andhybrid con tro ller design of flex ib le structures under w orstcase spatiotem pora l d isturbance variations[J].J Intellig entM a ter ia l S y stem s and S tructures,2004,15(12):901 921.
[7]俞立.鲁棒控制——线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.YU L i.R obust C on tro l—L inear M atrix Inequa litiesT reatm en t[M].Be ijing:T singhua U n iversity P ress,2002.(in Ch inese)
[8]胡刚,孙继涛.参数不确定广义系统的鲁棒H∞控制[J].同济大学学报(自然科学版),2003,31(3):334 338.HU G ang,SUN Jitao.R obust H∞con tro l for singu larsystem s w ith uncerta in param eters[J].J T ong j i Un iv,2003,31(3):334 338.(in Ch inese)
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