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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (3): 330-337    DOI: 10.1631/jzus.A071365
Civil & Mechanical Engineering     
Optimization of time-delayed feedback control of seismically excited building structures
Xue-ping LI, Wei-qiu ZHU, Zu-guang YING
Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
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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.

Key words： Time-delayed feedback control      Stochastic averaging method      Hamiltonian      Earthquake     
Received: 10 June 2007      Published: 14 December 2007
CLC:  O32  
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Xue-ping LI
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Zu-guang YING
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Xue-ping LI, Wei-qiu ZHU, Zu-guang YING. Optimization of time-delayed feedback control of seismically excited building structures. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(3): 330-337.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A071365     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I3/330

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