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Simultaneous Optimization of Damper Parameters and Controllers for Building Vibration Attenuation over Finite Frequency Band
Author(s) -
Zhan Wei,
Gao Huijun,
Cheung K.C.,
Lam James,
Du Haiping
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.781
Subject(s) - control theory (sociology) , controller (irrigation) , vibration control , attenuation , vibration , damper , range (aeronautics) , frequency band , tuned mass damper , engineering , genetic algorithm , stability (learning theory) , structural engineering , computer science , control (management) , physics , acoustics , bandwidth (computing) , telecommunications , optics , artificial intelligence , aerospace engineering , machine learning , agronomy , biology
This paper presents a simultaneous optimization approach to the design of the multiple active tuned mass damper ( MATMD ) and its controller for building vibration attenuation under seismic excitations. A model of an n ‐storey building installed with the MATMD system, where the masses can be placed on different storeys, is considered, and its state‐space model is established by appropriately defining the state variables and the output signals. Considering that earthquake records exhibit higher strength over a certain range of frequency and the fact that not only the controller design but also the parameter optimization of the MATMD system have significant effects on the control performance, a simultaneous optimization approach based on the genetic algorithm ( GA ) is proposed to design the static output‐feedback controller and to obtain the MATMD 's parameters for the attenuation of seismic building vibration over a finite frequency range. Using the proposed approach, a set of parameters and the constrained controller gains, which can guarantee the asymptotic stability of the closed‐loop system and attenuate the building vibration at a sufficiently low level, are obtained. Simulations are used to demonstrate the effectiveness of the proposed approach and the superiority of a strategy that places the masses on different storeys in attenuating building vibration under earthquake excitation.