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毗邻建筑地震响应LQG控制问题的闭合解

Closed form solution of LQG control problem for seismic response of adjacent buildings

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【作者】 徐幼麟张文首

【Author】 XU You-lin ZHANG Wen-shou (Department of Civil and Structural Engineering. The Hong Kong Polytechnic University. Hung Hom. Kowloon. Hong Kong)

【机构】 香港理工大学土木和结构工程系香港理工大学土木和结构工程系

【摘要】 本文把毗邻建筑的地震反应控制作为LQG控制问题,并应用虚拟激励法和留数定理推导出问题的闭合解。利用此闭合解研究了加权矩阵Q和R对建筑阻尼及地震响应的影响。结果表明选用适当的加权矩阵,LQG控制可同时有效地减小两栋建筑的地震响应。

【Abstract】 Closed form solution of LQG problem for seismic response of adjacent buildings connected by hydraulic actuators is presented in this paper. The closed form solution for seismic response of the system is derived in terms of the pseudo- excitation method and the residue theorem. By using the closed form solution, extensive studies on weighting matrices Q and R can be carried out for the buildings of many degrees of freedom. The results show that if the weighting matrices are se- lected appropriately, the modal damping ratios of the system can be significantly increased and the seismic responses of both buildings can be considerably reduced.

  • 【文献出处】 地震工程与工程振动 ,Earthquake Engineering and Engineering Vibration , 编辑部邮箱 ,2001年S1期
  • 【分类号】TU352.1
  • 【被引频次】9
  • 【下载频次】329
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