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Generalized minimum variance control for buildings under seismic ground motion
Author(s) -
Guenfaf L.,
Djebiri M.,
Boucherit M. S.,
Boudjema F.
Publication year - 2001
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.35
Subject(s) - variance (accounting) , autoregressive model , ground motion , engineering , displacement (psychology) , minimum variance unbiased estimator , control (management) , function (biology) , structural engineering , mathematics , control theory (sociology) , computer science , statistics , artificial intelligence , mean squared error , psychology , accounting , evolutionary biology , business , psychotherapist , biology
The generalized minimum variance (GMV) algorithm for the control of civil engineering structures is developed and presented in this paper. This algorithm needs the knowledge of the seismic excitation model to derive the autoregressive moving average exogen model of the structure. Then the GMV control is applied. The control is designed such that the variance of the generalized cost function is minimized. To demonstrate the effectiveness of this control technique, simulation tests using a single‐degree‐of‐freedom structure are performed. The results show that the relative displacement of the structure and the control effort are significantly reduced. Copyright © 2001 John Wiley & Sons, Ltd.