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Feedback control optimization for seismically excited buildings

Feedback control optimization for seismically excited buildings 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Feedback control optimization for seismically excited buildings

Li, Xueping; Ying, Zuguang
"Acta Mechanica Solida Sinica" , Volume 20 (4): 8 – Dec 1, 2007
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Publisher
Springer Journals
Copyright
2007 The Chinese Society of Theoretical and Applied Mechanics and Technology
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-007-0740-y
Publisher site
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Abstract

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.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Dec 1, 2007

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics

References

  • Controlled Markov Processes and Viscosity Solutions
    HM Soner
  • Stochastic Control, Hamiltonian Systems and HJB Equations
    XY Zhou
  • Optimal nonlinear feedback control of quasi Hamiltonian systems
    WQ Zhu, ZG Ying
  • An optimal nonlinear feedback control strategy for randomly excited structural systems
    WQ Zhu, ZG Ying, TT Soong
  • Stochastic averaging of quasi non-integrable Hamiltonian systems
    WQ Zhu, YQ Yang
  • Stochastic averaging of quasi integrable Hamiltonian systems
    WQ Zhu, ZL Huang, YQ Yang
  • Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systems
    WQ Zhu, ZL Huang, Y Suzuki
  • Nonlinear stochastic optimal control of partially observable linear structures
    WQ Zhu, ZG Ying
  • Stochastic optimal control of partially observable nonlinear quasi Hamiltonian systems
    WQ Zhu, ZG Ying
  • Nonlinear Stochastic Dynamics and Control—Hamiltonian Framework
    WQ Zhu
  • Structure Vibration Control—Active, Semi-active and Intelligent Control
    JP Ou
  • Deterministic and Stochastic Optimal Control
    RW Rishel
  • Stochastic Control of Partially Observable Systems
    A Bensoussan
  • Digital Filters: Analysis, Design and Application
    A Antoniou