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Robust active vibration suppression control with constraint on the control signal: application to flexible structures
Author(s) -
Forrai A.,
Hashimoto S.,
Funato H.,
Kamiyama K.
Publication year - 2003
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.293
Subject(s) - control theory (sociology) , vibration control , constraint (computer aided design) , parametric statistics , engineering , robust control , controller (irrigation) , vibration , signal (programming language) , active vibration control , control engineering , set (abstract data type) , control (management) , control system , computer science , mathematics , artificial intelligence , physics , mechanical engineering , agronomy , statistics , electrical engineering , quantum mechanics , biology , programming language
A unified mathematical framework, sustained by experimental results, is presented for robust controller design taking into account the constraint on the control signal. The design procedure is exemplified for an active vibration suppression control problem with applications to flexible structures. The considered experimental set‐up is a three‐storey flexible structure with an active mass driver placed on the last storey. First, the considered flexible structure is identified and the model's parametric uncertainties are deduced. Next, control constraints are presented for the robust control design problem, taking into account the restriction imposed on the control signal. Finally, the effectiveness of the control system is tested through experiments, when the input disturbance is assumed to be a sinusoidal one as well as a historical earthquake record (1940 El Centro record). Copyright © 2003 John Wiley & Sons, Ltd.