| FEEDBACK CONTROL OPTIMIZATION FOR SEISMICALLY EXCITED BUILDINGS |
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| 作者姓名： | Xueping Li Zuguang Ying |
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| 作者单位： | Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | 国家自然科学基金
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教育部高等学校博士学科点专项科研基金
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浙江省自然科学基金 |
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| 摘 要： | A feedback control optimization method of partially observable linear structures via stationary response is proposed and analyzed with linear building structures equipped with control devices and sensors. First, the partially observable control problem of the structure under horizontal ground acceleration excitation is converted into a completely observable control problem. Then the It6 stochastic differential equations of the system are derived based on the stochastic averaging method for quasi-integrable Hamiltonian systems and the stationary solution to the Fokker-Plank-Kolmogorov （FPK） equation associated with the It6 equations is obtained. The performance index in terms of the mean system energy and mean square control force is established and the optimal control force is obtained by minimizing the performance index. Finally, the numerical results for a three-story building structure model under E1 Centro, Hachinohe, Northridge and Kobe earthquake excitations are given to illustrate the application and the effectiveness of the proposed method.
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| 关 键 词： | 反馈控制优化 地震反应 概率 密度 |
| 收稿时间： | 2006-12-08 |
| 修稿时间： | 2007-08-02 |
FEEDBACK CONTROL OPTIMIZATION FOR SEISMICALLY EXCITED BUILDINGS |
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| Xueping Li Zuguang Ying.FEEDBACK CONTROL OPTIMIZATION FOR SEISMICALLY EXCITED BUILDINGS[J].Acta Mechanica Solida Sinica,2007,20(4):342-349. |
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| Authors: | Xueping Li Zuguang Ying |
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| Institution: | Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | A feedback control optimization method of partially observable linear structures via stationary response is proposed and analyzed with linear building structures equipped with control devices and sensors. First, the partially observable control problem of the structure under horizontal ground acceleration excitation is converted into a completely observable control problem. Then the It(o) stochastic differential equations of the system are derived based on the stochastic averaging method for quasi-integrable Hamiltonian systems and the stationary solution to the Fokker-Plank-Kolmogorov (FPK) equation associated with the It(o) equations is obtained.The performance index in terms of the mean system energy and mean square control force is established and the optimal control force is obtained by minimizing the performance index. Finally, the numerical results for a three-story building structure model under El Centro, Hachinohe,Northridge and Kobe earthquake excitations are given to illustrate the application and the effectiveness of the proposed method. |
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| Keywords: | feedback control optimization partially observable structure stochastic averaging method earthquake response stationary probability density |
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