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 Itô 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 Itô 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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Project supported by the National Natural Science Foundation of China under a key grant (No.10332030), the Research Fund for the Doctoral Program of Higher Education of China (No. 20060335125) and the Zhejiang Provincial Natural Science Foundation of China (No. Y607087).
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Li, X., Ying, Z. Feedback control optimization for seismically excited buildings. Acta Mech. Solida Sin. 20, 342–349 (2007). https://doi.org/10.1007/s10338-007-0740-y
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DOI: https://doi.org/10.1007/s10338-007-0740-y