Acta Mechanica Solida Sinica

, Volume 20, Issue 4, pp 342–349 | Cite as

Feedback control optimization for seismically excited buildings

  • Xueping Li
  • Zuguang Ying


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.

Key words

feedback control optimization partially observable structure stochastic averaging method earthquake response stationary probability density 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  • Xueping Li
    • 1
  • Zuguang Ying
    • 1
  1. 1.Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and ControlZhejiang UniversityHangzhouChina

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