Non-stationary vibration control for buildings by using time-varying criterion function

摘要

There are many studies on vibration control for building using an active dynamic absorber. When applying active vibration control, it is important to achieve higher performance within a certain constraint on actuator. However, it is difficult to solve this problem by using a stationary controller, since seismic waves have non-stationary characteristics. This study presents a controller design method based on the non-stationary otimal control. In this technique, the non-stationary of seismic wave is considered by using the time-varying criterion function. Time-stationary of seismic wave is considered by using the time-varying criterion function. Time-varying weight corresponds to the envelopo function which gives the non-stationary intensity of a seismic wave. And this controller is designed by solving the time-varying Riccati equations. By considering uncertain characteristics of seismic wave, a modification method is presented, in which the time-varying feedback gain is varied continuously depending on the mean square value of seismic wave. To compare the performance with a stationary control, numerical calculations and simulations were carried out. As a result, the effectiveness of the non-stationary optimal control was shown.