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

Abstract EN

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.