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W. Zhu, Z. Ying (2004)
On stochastic optimal control of partially observable nonlinear quasi Hamiltonian systemsJournal of Zhejiang University-SCIENCE A, 5
JP Ou (2003)
Structure Vibration Control—Active, Semi-active and Intelligent Control
W. Fleming, R. Rishel (1975)
Deterministic and Stochastic Optimal Control
W. Zhu, Z. Ying, T. Soong (2001)
An Optimal Nonlinear Feedback Control Strategy for Randomly Excited Structural SystemsNonlinear Dynamics, 24
W. Zhu, Z. Ying (2002)
Nonlinear stochastic optimal control of partially observable linear structuresEngineering Structures, 24
WQ Zhu (2003)
Nonlinear Stochastic Dynamics and Control—Hamiltonian Framework
A. Bensoussan (1992)
Stochastic Control of Partially Observable Systems
W. Zhu, Z. Huang, Yi Yang (1997)
Stochastic Averaging of Quasi-Integrable Hamiltonian SystemsJournal of Applied Mechanics, 64
W. Zhu, Z. Ying (1999)
Optimal nonlinear feedback control of quasi-Hamiltonian systemsScience in China Series A: Mathematics, 42
W. Fleming, H. Soner, H. Soner, Div Mathematics, Florence Fleming, Serpil Soner (1992)
Controlled Markov processes and viscosity solutions
YQ Yang WQ Zhu (1997)
Stochastic averaging of quasi non-integrable Hamiltonian systemsASME Journal of Applied Mechanics, 64
J. Yong, X. Zhou (1999)
Stochastic Controls: Hamiltonian Systems and HJB Equations
W. Zhu, Z. Huang, Yoshiyuki Suzuki (2002)
Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systemsInternational Journal of Non-linear Mechanics, 37
A. Antoniou (2018)
Digital Filters: Analysis, Design and Applications
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.
"Acta Mechanica Solida Sinica" – Springer Journals
Published: Dec 1, 2007
Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics
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