Locating in the earthquake district of the world, many studies have been emphasized on the prevention of earthquakes in Taiwan. Besides trying to predict the magnitude and epicenter in advance, enhancing the strength of structures against earthquakes is always the main target of civil engineers. The equipments of decreasing the energy and vibration of the structure could be roughly classified into two parts: the passive-control components, and the active-control devices. Recently, passive control has been considered as an essential part of the new-built structures and the active control theory has been proved for better performance and efficiency. However, since the steps and methods of active-control device are too complicated to implement, the active control still could not be used as practically as the passive control. The goal of this study, according to the active-control theory, is that in order to find the feedback-gain matrix, which is used to calculate the optimal control force to improve the feasibility and to raise the effect of active-control, we must reduce the orders of the feedback information, modify the equipments, and use the Genetic Algorithm.