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Shock and Vibration
Volume 2017, Article ID 1427270, 18 pages
Research Article

An Observer-Based Controller with a LMI-Based Filter against Wind-Induced Motion for High-Rise Buildings

1School of Civil and Environment Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
2Department of Civil and Environmental Engineering, University of Surrey, Guildford GU2 7XH, UK

Correspondence should be addressed to Zuo-Hua Li; nc.ude.tih@auhouzil

Received 23 December 2016; Revised 21 March 2017; Accepted 11 April 2017; Published 25 May 2017

Academic Editor: Jiming Xie

Copyright © 2017 Chao-Jun Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Active mass damper (AMD) control system is proposed for high-rise buildings to resist a strong wind. However, negative influence of noise in sensors impedes the application of AMD systems in practice. To reduce the adverse influence of noise on AMD systems, a Kalman filter and a linear matrix inequality- (LMI-) based filter are designed. Firstly, a ten-year return period fluctuating wind load is simulated by mixed autoregressive-moving average (MARMA) method, and its reliability is tested by wind speed power spectrum and correlation analysis. Secondly, a designed state observer with different filters uses wind-induced acceleration responses of a high-rise building as the feedback signal that includes noise to calculate control force in this paper. Finally, these methods are applied to a numerical example of a high-rise building and an experiment of a single span four-storey steel frame. Both numerical and experimental results are presented to verify that both Kalman filter and LMI-based filter can effectively suppress noise, but only the latter can guarantee the stability of AMD parameters.