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 ...
