Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/14435
Title: Closed-form solution for seismic response of adjacent buildings with linear quadratic Gaussian controllers
Authors: Xu, YL 
Zhang, WS
Keywords: Adjacent building
Closed-form solution
LQG controller
Parametric study
Seismic response
Issue Date: 2002
Publisher: John Wiley & Sons
Source: Earthquake engineering and structural dynamics, 2002, v. 31, no. 2, p. 235-259 How to cite?
Journal: Earthquake engineering and structural dynamics 
Abstract: Closed-form solution for seismic response of adjacent buildings connected by hydraulic actuators with linear quadratic Gaussian (LQG) controllers is presented in this paper. The equations of motion of actively controlled adjacent buildings against earthquake are first established. The complex modal superposition method is then used to determine dynamic characteristics, including modal damping ratio, of actively controlled adjacent buildings. The closed-form solution for seismic response of the system is finally derived in terms of the complex dynamic characteristics, the pseudo-excitation method and the residue theorem. By using the closed-form solution, extensive parametric studies can be carried out for the system of many degrees of freedom. The beneficial parameters of LQG controllers for achieving the maximum response reduction of both buildings using reasonable control forces can be identified. The effectiveness of LQG controllers for this particular application is evaluated in this study. The results show that for the adjacent buildings of different dynamic properties, if the parameters of LQG controllers are selected appropriately, the modal damping ratios of the system can be significantly increased and the seismic responses of both buildings can be considerably reduced.
URI: http://hdl.handle.net/10397/14435
ISSN: 0098-8847
EISSN: 1096-9845
DOI: 10.1002/eqe.107
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