Model-Free Vibration Control of Multiple-Story Structures by Introducing Virtual Structure

Abstract

Vibration control of building structures has become more important in recent years as buildings have become taller. Active vibration control is a technique that can be expected to have a high vibration control effect, but it requires a model of the object to be controlled, therefore the vibration control performance depends on the accuracy of the model. This leads to a reduction in vibration control performances and instability of the control system due to modelling errors and characteristic fluctuations over time. To solve these problems, we should improve modelling accuracy and robustness, however this increases the designer's burden. In addition, as the control system is designed for one target structure, it cannot be easily transferred to other structures. For these problems, this study proposes an active vibration control method for multiple-story structures that does not require modelling of the controlled target. First, an H₂ controller is designed to indirectly suppress the vibration of the real object by introducing a virtual single-degree-of-freedom controlled object between the actuator and the actual controlled object. Next, vibration control simulations were performed on different multiple-story structure models to demonstrate the effectiveness of the model-free vibration control on arbitrary multiple-story structures.