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On-line Access: 2007-12-14

Received: 2007-06-10

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.3 P.330~337

http://doi.org/10.1631/jzus.A071365


Optimization of time-delayed feedback control of seismically excited building structures


Author(s):  Xue-ping LI, Wei-qiu ZHU, Zu-guang YING

Affiliation(s):  Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   xiaoxiaopingli@hotmail.com, wqzhu@yahoo.com

Key Words:  Time-delayed feedback control, Stochastic averaging method, Hamiltonian, Earthquake


Xue-ping LI, Wei-qiu ZHU, Zu-guang YING. Optimization of time-delayed feedback control of seismically excited building structures[J]. Journal of Zhejiang University Science A, 2008, 9(3): 330~337.

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%A Xue-ping LI
%A Wei-qiu ZHU
%A Zu-guang YING
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%DOI 10.1631/jzus.A071365

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T1 - Optimization of time-delayed feedback control of seismically excited building structures
A1 - Xue-ping LI
A1 - Wei-qiu ZHU
A1 - Zu-guang YING
J0 - Journal of Zhejiang University Science A
VL - 9
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SP - 330
EP - 337
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A071365


Abstract: 
An optimization method for time-delayed feedback control of partially observable linear building structures subjected to seismic excitation is proposed. A time-delayed control problem of partially observable linear building structure under horizontal ground acceleration excitation is formulated and converted into that of completely observable linear structure by using separation principle. The time-delayed control forces are approximately expressed in terms of control forces without time delay. The control system is then governed by Itô stochastic differential equations for the conditional means of system states and then transformed into those for the conditional means of modal energies by using the stochastic averaging method for quasi-hamiltonian systems. The control law is assumed to be modal velocity feedback control with time delay and the unknown control gains are determined by the modal performance indices. A three-storey building structure is taken as example to illustrate the proposal method and the numerical results are confirmed by using Monte Carlo simulation.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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