隔震结构基于灰色预测的振动最优控制

提出对隔震结构实施灰色预测即时控制，采用GM（1，1）模型，推导结构状态向量的灰色预测方程，结合线性二次型最优控制理论（LQR），设计了隔震结构的即时预测控制方案，并研究了其振动控制性能。研究结果表明：对隔震结构再实施主动控制具有控制力小且控制效果好；采用灰色预测控制能有效减小结构振动控制的时滞影响。

Optimal Control for Vibration of A Base-Isolated Structure Based on the Gray Forecasting

Design procedures and application of active optimal control to a base-isolated building structure are proposed and studied,based on the gray forecasting model GM(1,1) and the modern control theories.Equations governing forecasted state vector of a base-isolated building structure are derived and features of vibration control are analyzed.The study results show that active optimal control applied to the base-isolated building structure can suppress its seismic responses with more control effects and less control force;the gray forecasting-optimal control is efficient to reduce influences of time-delay.