Control of Hysteretic Structures Using H Algorithm and Stochastic Linearization Techniques

摘要

This paper presents a static output feedback H algorithm for controlling hysteretic structures subjected to seismic motion. For control design, hysteretic structures present a challenge due to changes in the structural parameters during large seismic events. The conventional approach is to linearize the structure at the initial equilibrium state, thus ignoring the hysteretic characteristics of the structure when computing the gain matrices. This study extends the static output feedback H algorithm, which was developed previously for linear systems, to nonlinear structures using a newly developed procedure that uses stochastic equivalent linearization. In this procedure, the hysteretic parameters are linearized assuming that the ground motion is a white noise filtered with the Kanai-Tajimi power spectral density, and the control algorithm is designed using the linearized system of equations. The effectiveness of this procedure is demonstrated by simulation results of a hysteretic single-degree-of-freedom structure subjected to earthquake ground motion. The results of this study show the effectiveness of using static output feedback for controlling hysteretic structures. For this case, the control effectiveness is not lost when the measurement of the hysteretic (Bouc-Wen) variable, which cannot be measured, is ignored.