Active vibration control of seismic excited structural system using LMI-based mixed H_2/H_{\infty} state feedback controller

Authors

HAKAN YAZICI
RAHMİ GÜÇLÜ

DOI

10.3906/elk-1007-592

Abstract

This paper is concerned with the active vibration control of a four-degree-of-freedom structure, which is effected by earthquake. To obtain desired time history and frequency responses for solution of active vibration control problem, Linear Matrix Inequality (LMI) based state-feedback mixed H_2/H_{\infty} controller is designed in this study. The time history of ground motion of the Kobe earthquake in 1995, which is a disturbance input, is applied to modeled structure. At the end of the study, the time history of the storey displacements, velocities and frequency responses of both controlled and uncontrolled cases are presented and results are discussed. Performance of the designed controller has been shown for the different loads and disturbances using ground motion of the Kocaeli earthquake.

Keywords

Mixed H_2/H_{\infty} control, linear matrix inequality, vibration, structure

First Page

839

Last Page

849

Recommended Citation

YAZICI, HAKAN and GÜÇLÜ, RAHMİ (2011) "Active vibration control of seismic excited structural system using LMI-based mixed H_2/H_{\infty} state feedback controller," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 19: No. 6, Article 2. https://doi.org/10.3906/elk-1007-592
Available at: https://journals.tubitak.gov.tr/elektrik/vol19/iss6/2