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A numerical method for choice of weighting matrices in active controlled structures
Author(s) -
AGRANOVICH G.,
RIBAKOV Y.,
BLOSTOTSKY B.
Publication year - 2004
Publication title -
the structural design of tall and special buildings
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.895
H-Index - 43
eISSN - 1541-7808
pISSN - 1541-7794
DOI - 10.1002/tal.233
Subject(s) - weighting , parametric statistics , matrix (chemical analysis) , control (management) , mathematical optimization , quadratic equation , computer science , a weighting , process (computing) , control theory (sociology) , algorithm , mathematics , artificial intelligence , statistics , materials science , geometry , physics , composite material , operating system , acoustics
A feedback control system usually implements active and semi‐active control of seismically excited structures. The objective of the control system is described by a performance index, including weighting matrix norms. The choice of weighting matrices is usually based on engineering experience. A new procedure for weighting matrix components choice based on the parametric optimization method is developed in this study. It represents a two‐step optimization process. In the first step a discrete‐time control system is synthesized according to a quadratic performance index. In the second step the weighting coefficients are obtained using the results of the first step. Numerical simulation of a typical structure subjected to earthquakes is carried out in order to demonstrate the effectiveness of the proposed method. It shows that applying the proposed technique provides a choice of the weighting matrices and results in enhanced structural behaviour under different earthquakes. Copyright © 2003 John Wiley & Sons, Ltd.