结构振动状态输出的灰色预测主动反馈控制

针对主动即时控制中的时滞问题，提出了对结构振动状态（即输出）向量实施灰色预测即时主动控制，设计了结构的即时预测控制方案，推导了灰色预测方程，并用Mauab编程进行了仿真分析．将该方案应用于某房屋的抗震控制中，并将计算结果与理想的即时控制、不控制等工况的控制效果进行了比较，仿真结果显示采用灰色预测控制能有效减小时滞影响，控制效果较为理想．

Optimal Control for the Structure Vibration Based on the Gray Forecasting Theory

Faced the problem of time-delay in the immediate active control for the structure vibration, the design procedures and application of the immediate active optimal control based on the gray forecasting to a building structure are proposed and studied. By use of the gray forecasting model GM（1,1）,the optimal control method of the modem control theory, and the analysis of the respond by the MATLAB program, some equations, based on the forecasted state vector and the features of vibration of a building, were deduced and obtained. In order to get the mini of the control power and the respond, the immediate active control project was designed. In the 3-floor building case, with the equations derived and features of vibration control analyzed, the conclusions suggest that the active vibration-control system of building structure can bring the seismic responses of structures under more effective control and less controlling force, the gray forecasting-optimal control is efficient to reduce influences of time-delay.