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Evaluation of Disturbance Weighting Parameter of Minimax Attenuation Problems
Author(s) -
Aldemir Unal
Publication year - 2009
Publication title -
computer‐aided civil and infrastructure engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.773
H-Index - 82
eISSN - 1467-8667
pISSN - 1093-9687
DOI - 10.1111/j.1467-8667.2008.00590.x
Subject(s) - minimax , weighting , disturbance (geology) , attenuation , control theory (sociology) , stability (learning theory) , white noise , mathematics , noise (video) , simple (philosophy) , completeness (order theory) , linear quadratic regulator , optimal control , mathematical optimization , computer science , control (management) , statistics , mathematical analysis , physics , geology , paleontology , philosophy , epistemology , artificial intelligence , machine learning , acoustics , optics , image (mathematics)
This article presents a simple evaluation of the disturbance weighting parameter of well‐known minimax disturbance attenuation problems derived for earthquake‐excited structures. It is concluded from a careful analysis of the derived closed form solutions that linear quadratic regulator (LQR) performance which corresponds to white noise assumption is the best performance of the sub‐optimal minimax control (OMC) although it is also the worst performance of the OMC and the disturbance weighting parameter is as a measure of the system stability. For the completeness of the article, OMC is also compared to LQR and unimplementable optimal control.