Forecasting control of adjacent structures based on optimal grey model

The purpose of this paper is to investigate the forecasting control of adjacent buildings with optimal grey model (GM). Firstly, based on the linear quadratic regulator (LGR) control, a novel forecasting control scheme for adjacent buildings using optimal GM is proposed, the calculation model is established, and the motion and control equations are derived. Secondly, a numerical investigation of a complex system with two adjacent buildings is conducted, and the influence of time delay on control of adjacent buildings is analyzed. Finally, the effect of forecasting control on the time delay of adjacent buildings is studied. The numerical results indicate that the forecasting control method based on optimal GM is reliable and practical in vibration control of buildings, particularly in the case of adjacent buildings.