基于状态观测器的带分布参数体系地震响应控制
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摘要
针对带分布参数体系地震响应控制问题,建立带分布参数体系的运动控制方程,推导出应用于带分布参数体系的序列最优模态控制算法。根据序列最优模态控制算法振动控制时对结构全状态反馈的需要,提出了针对序列最优模态控制算法的全维状态观测器,形成基于全维状态观测器的序列最优模态控制算法,然后通过测量容易测量的结构地震响应,由全维状态观测器重构结构的全部状态,从而实现在实际工程中通过基于全维状态观测器的序列最优模态控制算法对带分布参数串联体系的地震响应进行振动控制。最后,对一带分布参数实际隔震的330KV电压互感器进行地震响应控制,分别采用反馈结构全状态的序列最优模态控制算法及反馈输出的基于全维状态观测器的序列最优模态控制算法,仿真结果显示:两种算法均有良好的控制效果,隔震层位移及上部电气加速度有不同程度的减小,基于全维状态观测器的序列最优模态控制算法能够通过测量较少的结构响应输出反馈实现带分布参数的地震响应控制,达到反馈结构全状态的序列最优模态控制算法的控制效果。
For seismic response control for the system with distributed parameters,the motion control equation of the system with distributed parameters is presented and sequential optimal modal control algorithm is derived.Due to the full state requirement of sequential optimal modal control algorithm,the full state observer is proposed.Then the full state of the system under earthquake is reconstructed by the seismic response of the system easily measured by feedback sensors.Therefore,the seismic response control for system with distributed parameters is realized in the actually engineering by using the sequential optimal modal control algorithm based on full state observers.A seismic response control case of the isolated 330 KV voltage transformer is analyzed by adopting sequential optimal modal control algorithm and sequential optimal modal control algorithm based on full state observers respectively,suggesting that the two control algorithms have the favorable control efficiency for the system with distributed parameters under earthquake and the displacement of isolation layer and acceleration of upper voltage transformer are decreased in different degree.In addition,the sequential optimal modal control algorithm based on full state observers can control the seismic response of the system with distributed parameters by the feedback seismic response measured easily and has the same control effect with sequential optimal modal control algorithm adopting full state feedback.
For seismic response control for the system with distributed parameters,the motion control equation of the system with distributed parameters is presented and sequential optimal modal control algorithm is derived.Due to the full state requirement of sequential optimal modal control algorithm,the full state observer is proposed.Then the full state of the system under earthquake is reconstructed by the seismic response of the system easily measured by feedback sensors.Therefore,the seismic response control for system with distributed parameters is realized in the actually engineering by using the sequential optimal modal control algorithm based on full state observers.A seismic response control case of the isolated 330 KV voltage transformer is analyzed by adopting sequential optimal modal control algorithm and sequential optimal modal control algorithm based on full state observers respectively,suggesting that the two control algorithms have the favorable control efficiency for the system with distributed parameters under earthquake and the displacement of isolation layer and acceleration of upper voltage transformer are decreased in different degree.In addition,the sequential optimal modal control algorithm based on full state observers can control the seismic response of the system with distributed parameters by the feedback seismic response measured easily and has the same control effect with sequential optimal modal control algorithm adopting full state feedback.
引文
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[14]杜永峰.滞变智能隔震结构的序列最优控制算法[J].计算力学学报,2007,24(1):57-63.(DU Yong-feng.Sequential optimal control algorithm for hystereticsmart isolated structures[J].Chinese Journal ofComputational Mechanics,2007,24(1):57-63.(inChinese))
[15]郑大钟.线性系统理论(第二版)[M].北京:清华大学出版社,Springer,2002.(ZHENG Da-zhong.LinearSystem Theory(the second edition)[M].Beijing:Tsinghua University Press,Springer,2002.(in Chi-nese))
[2]欧进萍.结构振动控制[M].北京:科学出版社,2003.(OU Jin-ping.Structural Vibration Control[M].Beijing:Science Press,2003.(in Chinese))
[3]Spencer B F,Nagarajaiah S.State of the art of struc-tural control[J].Journal of Structural Engineering,ASCE,2003,129(7):845-855.
[4]欧进萍,张春巍,李惠,等.大连市某高层建筑风振和地震反应的AMD主动质量阻尼控制分析与设计[J].建筑结构学报,2004,25(3):29-37.(OU Jin-ping,ZHANG Chun-wei,LI Hui,et al.Analysisand design of active mass damper control against windand earthquake for a high-rise building in Dalian[J].Journal of Building Structures,2004,25(3):29-37.(in Chinese))
[5]李秀领,李宏男.框-剪偏心结构平-扭耦联反应半主动控制试验研究[J].大连理工大学学报,2008,48(5):691-697.(LI Xiu-ling,LI Hong-nan.Experi-mental study of semi-active control of coupled trans-lation and torsion response for frame-shear wall ec-centric structure[J].Journal of Dalian Universityof Technology,2008,48(5):691-697.(in Chinese))
[6]瞿伟廉.MR阻尼器对高耸结构风振反应的智能控制[J].建筑科学与工程学报.2006,23(1):10-16.(QUWei-lian.MR damper intelligent control on high con-struction wind-Induced vibration response[J].Jour-nal of Architecture and Civil Engineering,2006,23(1):10-16.(in Chinese))
[7]李忠献,张伟,姜忻良,等.高层建筑地震反应全反馈主动TMD控制理论研究[J].地震工程与工程振动,1997,17(3):60-65(LI Zhong-xian,ZHANG Wei,JIANG Xin-liang,et al.Theoretical research on com-plete-feedback active TMD control for seismic respon-ses of multistory buildings[J].Journal of EarthquakeEngineering and Engineering Vibration,1997,17(3):60-65.(in Chinese))
[8]谭平,卜国雄,周福霖.带限位TMD的抗风动力可靠度研究[J].振动与冲击,2009,28(6):42-45.(TAN Ping,BU Guo-xiong,ZHOU Fu-lin.Studyon wind-resistant dynamic reliability of TMD withlimited spacing[J].Journal of Vibration and Shock,2009,28(6):42-45.(in Chinese))
[9]杜永峰,刘彦辉,李慧.串联电气设备支架隔震体系地震响应半解析法[J].力学学报,2009,41(3):440-448.(DU Yong-feng,LIU Yan-hui,LI Hui.Semi-analytical solution of seismic response of serially iso-lated equipment and supporter[J].Chinese Journalof Theoretical and Applied Mechanics,2009,41(3):440-448.(in Chinese))
[10]杜永峰,刘彦辉,李慧.带分布参数高压电气设备地震响应半解析法[J].工程力学.2009,26(3):182-188.(DU Yong-feng,LIU Yan-hui,LI Hui.Seismicresponse of high-voltage equipments based on semi-analytical method[J].Engineering Mechanics,2009,26(3):182-188.(in Chinese))
[11]杜永峰,刘彦辉,李慧.高压电气设备支架串联体系地震响应半解析法[J],计算力学学报,2010,27(2):225-231.(DU Yong-feng,LIU Yan-hui,LI Hui.Response of serial system of equipment and supporterunder earthquake based on semi-analytical method[J].Chinese Journal of Computational Mechanics,2010,27(2):225-231.(in Chinese))
[12]杜永峰,李慧,赵国藩.地震作用下结构振动最优控制的一种一般算法[J].大连理工大学学报,2004,44(6):860-865.(DU Yong-feng,LI Hui,ZHAO Guo-fan.A generalized algorithm for optimal control ofstructures subjected to seismic excitation[J].Journalof Dalian University of Technology,2004,44(6):860-865.(in Chinese))
[13]杜永峰,刘彦辉,李慧.智能隔震结构控制算法Simulink仿真分析[J].系统仿真学报,2007,19(18):4270-4278.(DU Yong-feng,LIU Yan-hui,LI Hui.The study of the control algorithm for smart isolatedstructure based on Simulink simulation[J].Journalof System Simulation,2007,19(18):4270-4278.(inChinese))
[14]杜永峰.滞变智能隔震结构的序列最优控制算法[J].计算力学学报,2007,24(1):57-63.(DU Yong-feng.Sequential optimal control algorithm for hystereticsmart isolated structures[J].Chinese Journal ofComputational Mechanics,2007,24(1):57-63.(inChinese))
[15]郑大钟.线性系统理论(第二版)[M].北京:清华大学出版社,Springer,2002.(ZHENG Da-zhong.LinearSystem Theory(the second edition)[M].Beijing:Tsinghua University Press,Springer,2002.(in Chi-nese))
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